The chemical equilibrium constant for the following reaction is 51.5.
A(g) 2B(g)
What is the value of the equilibrium constant for the following reaction?
4B(g) 2A(g)

a. 4.65 × 10−2

b. 7.32 × 10−6

c. 2.65 × 103

d. 3.77 × 10−4

e. 9.94 × 106

Answers

Answer 1

The equilibrium constant (K') for the given reaction is 0.0194: the option is (d) 3.77 × 10−4.

Given reaction is:

A(g) 2B(g)

The equilibrium constant for the given reaction is 51.5.

The chemical reaction is as follows:

A(g) + 2B(g) ⇌ 2A(g) + 4B(g)

To find the equilibrium constant for the given reaction:

We know that if a reaction is reversed then the equilibrium constant becomes the inverse of the original equilibrium constant.

So, the equilibrium constant for the given reaction will be as follows:

2A(g) + 4B(g) ⇌ A(g) + 2B(g)K' = 1/K = 1/51.5 = 0.0194

The equilibrium constant (K') for the given reaction is 0.0194.

Hence, the option is (d) 3.77 × 10−4.

learn more about equilibrium constant on:

https://brainly.com/question/3159758

#SPJ11


Related Questions

please help
1. How many significant figures do the following numbers have? a. 0.00345 b. 9.8 × 10^{-23} c. 340 d. 456.00 e. 3009

Answers

The significant figures in the given numbers are as follows:

a. 0.00345 :  3

b. 9.8 × 10^-23 : 2

c. 340:  2

d. 456.00: 5

e. 3009: 4

Significant figures are the digits in a number that carries meaning in terms of the accuracy or precision of the measurement. In a number, all the digits that are not zeros are significant, whereas trailing zeros are only significant if there is a decimal in the number. There are different rules for determining significant figures depending on the type of number.

Here are the rules for each type of number:

Rule for Non-zero numbers: All the non-zero digits are significant.Rule for leading zeros: All the leading zeros are not significant. Rule for Trailing zeros: The trailing zeros are significant only if there is a decimal in the number.Rule for exact numbers: The exact numbers have an infinite number of significant digits.

Learn more about "significant figures" :

https://brainly.com/question/24491627

#SPJ11

convert 8.654 X 10^11 nm/sec to cm/hour

Answers

The given quantity is 8.654 × 10^11 nm/sec. Convert this quantity to cm/hour.

Here,8.654 × 10^11 nm/sec = 8.654 × 10^11 × (1/10^9) m/sec= 865.4 m/sec

Now, we have to convert this quantity into cm/hour.1 km = 1000 m and 1 hour = 3600 sec ⇒ 1 km/hour = 1000 m/3600 sec⇒ 1 km/hour = 5/18 m/sec.So,865.4 m/sec = (865.4 × 5/18) km/hour= (2403.889) km/hour= 2.403889 × 10^3 km/hour.

We have to convert km/hour to cm/hour as,1 km = 10^5 cm

Therefore,1 km/hour = (10^5) / 3600 cm/sec= (1000/36) cm/sec.So,2.403889 × 10^3 km/hour = (2.403889 × 10^3) × (1000/36) cm/hour= (66.77469444 × 10^3) cm/hour= 6.677 × 10^4 cm/hour.

Thus, 8.654 × 10^11 nm/sec is equivalent to 6.677 × 10^4 cm/hour.

to know more about hour here:

brainly.com/question/13349617

#SPJ11

Calculate the pH of a solution prepared by dissolving 1.30 g of sodium acetate, CH3COONa, in 85.0 mL of 0.25 Macetic acid, CH3COOH(aq). Assume the volume change upon dissolving the sodium acetate is negligible. Ka of CH3COOH is 1.75x10-5

Answers

The pH of the given solution is 3.91.

The balanced chemical reaction between acetic acid and sodium acetate is:

CH3COOH(aq) + NaCH3COO(aq) ⟺ H2O(l) + Na+(aq) + CH3COO-(aq).

Since NaCH3COO is a salt of a weak acid and a strong base, the salt undergoes hydrolysis producing basic products. NaCH3COO hydrolysis can be represented as; NaCH3COO(aq) + H2O(l) ⇌ Na+(aq) + OH-(aq) + CH3COOH(aq)pKa of CH3COOH is 4.76.

Amount of sodium acetate (CH3COONa) = 1.30 gVolume of acetic acid, (CH3COOH) = 85.0 mL = 0.085 L, Concentration of acetic acid (CH3COOH) = 0.25 M(Ka) of CH3COOH = 1.75 x 10-5

The molarity of sodium acetate (CH3COONa) can be calculated as:-

The number of moles of CH3COONa = mass of CH3COONa / molar mass of CH3COONa = 1.3 / 82.03 = 0.0158 MVolume of acetic acid remains unchanged on adding sodium acetate since the volume change upon dissolving the sodium acetate is negligible.

Using the Henderson-Hasselbalch equation;pH = pKa + log (salt concentration / acid concentration)

pH = 4.76 + log (0.0158 / 0.25)pH = 4.76 + (-0.85) pH = 3.91.

Therefore, the pH of the given solution is 3.91.

Learn more about the "sodium acetate" :

https://brainly.com/question/31140017

#SPJ11

pleas assign peaks for the 13C NMR of trans cinnamic acid

Answers

Trans-cinnamic acid is an organic compound with the formula C6H5CH=CHCO2H. The 13C NMR spectrum of trans-cinnamic acid will have the following peaks assigned: The phenyl ring exhibits a total of five distinct peaks in the 13C NMR spectrum.

Chemical shift (ppm)Carbon atoms160.13C=O129.5α-carbon (next to carbonyl group)128.

0β-carbon (double bond carbon)131.2, 129.3, 128.5, 126.8, 126.0

Phenyl ring (five carbons)132.1, 129.6, 129.5, 129.2, 128.6

For trans-cinnamic acid, the number of carbon environments is five, as it has a carbonyl group (C=O) and a phenyl ring. In the 13C NMR spectrum, the carbonyl group is usually the highest peak and the chemical shift is the lowest. The chemical shift for α-carbon is greater than that of the β-carbon because the α-carbon is closer to the carbonyl group.

The chemical shift values for the β-carbon are higher than those for the α-carbon because they are further away from the electron-withdrawing carbonyl group.In the phenyl ring, all five carbon atoms have different chemical shift values. Carbon 2 (C2) has the highest chemical shift, whereas carbon 6 (C6) has the lowest chemical shift.

Learn more about NMR : https://brainly.com/question/10722669

#SPJ11

According to the Michaelis-Menten equation, what is the ratio of V/Vmax when [S] = 15Km? Express the ratio as a decimal rounded to 2 decimal places_ b. (5 pts) According to the Michaelis-Menten equation, if the ratio of V/Vmax is 0.30,what is the value of [SJKu ? Express the ratio as a decimal rounded to 2 decimal places. c-d. (10 pts) An experiment is performed in which the enzyme acetylcholinesterase converts two different substrate molecules_ A and B, to product. The table below shows kinetic data for the enzyme operating on and The first two columns show velocity data at different concentrations of A; the last two columns show velocity data at different concentrations of B_ Note that the bottom row shows the calculated Vmax for A and for B. [A] (uM) V (uM/sec) [B] (uM) V (uWsec) 19 5 33 20 70 12 66 45 135 18 86 65 175 28 110 90 215 48 139 100 228 110 175 130 265 180 190 440 405 220 195 700 443 Vmax 220 Vmax 530 By inspecting the table (no math needed), determine the Km of the enzyme for substrate A in terms of UM: Enter the value of Ku (without unit) in question 8 on the online answer form By inspecting the table (no math needed); determine the Kv of the enzyme for substrate B in terms of UM Enter the value of K (without unit) in question 9 on the online answer form: Assume that for the enzyme, the Kn values of the substrate indicate the binding affinities of the substrates for the active site. Which substrate, or B, has higher_binding affinity for the active site? Select the correct answer from the options in question 10 on the online answer form

Answers

a. The ratio of V/Vmax when [S] = 15Km according to the Michaelis-Menten equation cannot be determined without additional information.

b. If the ratio of V/Vmax is 0.30 according to the Michaelis-Menten equation, the value of [S] cannot be determined without additional information.

c. By inspecting the table, the Km of the enzyme for substrate A in terms of μM cannot be determined.

The Michaelis-Menten equation describes the relationship between the substrate concentration ([S]), the maximum reaction velocity (Vmax), and the Michaelis constant (Km) in enzyme kinetics.

However, the ratio of V/Vmax when [S] = 15Km cannot be determined without knowing the specific values of Vmax and Km or having additional data points.

b. Similarly, if the ratio of V/Vmax is given as 0.30, the value of [S] cannot be determined without additional information. The Michaelis-Menten equation relates the ratio V/Vmax to the substrate concentration [S], Vmax, and Km.

Without knowing any of these values, it is not possible to determine the specific concentration of [S].

c. By inspecting the table, we can gather information about the velocities at different concentrations of substrates A and B.

However, the Km of the enzyme for substrate A in terms of μM cannot be determined solely by inspecting the table.

The Km value represents the substrate concentration at which the reaction velocity is half of Vmax. In the given table, the Km value is not directly provided.

The Michaelis-Menten equation is a fundamental concept in enzyme kinetics, describing the relationship between substrate concentration and enzyme activity.

The equation provides insights into the catalytic efficiency and substrate binding affinity of enzymes.

To determine specific values such as V/Vmax, [S], Km, or substrate binding affinity, precise experimental measurements or additional data points are required.

Understanding these parameters helps in studying enzyme kinetics, optimizing enzyme reactions, and designing effective enzyme inhibitors or activators.

Learn more about Michaelis-Menten equation

brainly.com/question/30404535

#SPJ11

which of the following should have the lowest boiling point? group of answer choices n2 na2s nh3 hf

Answers

Answer:

Nitrogen gas (N2) should have the lowest boiling point among the given options. This is because N2 is a nonpolar molecule with weak London dispersion forces between its molecules, which results in a relatively low boiling point. Sodium sulfide (Na2S) is an ionic compound, so it has a very high boiling point due to strong electrostatic forces between its ions. Ammonia (NH3) and hydrogen fluoride (HF) are polar molecules that can form hydrogen bonds between their molecules, which results in higher boiling points than N2.

Explanation:

Nitrogen gas (N2) should have the lowest boiling point among the given options. This is because N2 is a nonpolar molecule with weak London dispersion forces between its molecules, which results in a relatively low boiling point. Sodium sulfide (Na2S) is an ionic compound, so it has a very high boiling point due to strong electrostatic forces between its ions. Ammonia (NH3) and hydrogen fluoride (HF) are polar molecules that can form hydrogen bonds between their molecules, which results in higher boiling points than N2.

the impure mixture of phthalic acid and charcoal used in part b of this week's experimentation is ~93-97% pure (3-7% charcoal). why do you suppose there is a difference between your % recovery (calculated) and the actual % composition of phthalic acid in your impure mixture? explain.

Answers

The difference between the calculated % recovery and the actual % composition of phthalic acid in the impure mixture can be attributed to various factors, such as experimental errors, incomplete reactions, and impurities present in the sample.

There is a difference between the calculated % recovery and the actual % composition of phthalic acid in the impure mixture due to experimental errors, incomplete reactions, and impurities.

Experimental errors can occur during the process of separation, purification, and measurement. These errors can include inaccuracies in weighing, loss of material during transfers, and errors in reading instruments or collecting data. These factors can lead to discrepancies between the expected and actual results.

Additionally, the reaction used to determine the % recovery of phthalic acid may not proceed to completion. Incomplete reactions can occur due to factors like insufficient reaction time, improper reaction conditions, or the presence of substances that interfere with the reaction.

Furthermore, the impure mixture may contain other impurities besides charcoal. These impurities can contribute to the discrepancy in the % recovery. The impurities might not react or separate in the same manner as phthalic acid, leading to inaccurate results.

Overall, the difference between the calculated % recovery and the actual % composition of phthalic acid in the impure mixture can arise from experimental errors, incomplete reactions, and the presence of additional impurities. It is important to consider these factors when interpreting the results and to employ proper techniques and controls to minimize their impact.

Learn more about Impure mixture

brainly.com/question/12075717

#SPJ11

What did we say ATP is similar to?.

Answers

Answer:

ADP is similar to a drained battery, while ATP is like to a charged battery. With the addition of water to the substrate, ATP can be hydrolyzed into ADP, releasing energy.

Explanation:

Lithium, Sodium, and Calcium are all considered to be cations because they tend to when forming chemical bonds. gain protons lose electrons share protons share electrons gain electrons lose protons

Answers

Lithium, Sodium, and Calcium are all metals found in Group 1 and Group 2 of the periodic table, respectively. When these elements form chemical bonds, they tend to achieve a stable electron configuration by (b) losing electrons from their outermost energy levels.

This process results in the formation of positively charged ions known as cations.

By losing electrons, lithium, sodium, and calcium attain a lower energy state and a more stable electronic configuration, resembling the nearest noble gas configuration.

These cations then have a positive charge that attracts them to negatively charged species, such as anions, in ionic bonding.

Therefore, the correct answer is (b) lose electrons.

To know more about electronic configuration refer here :    

https://brainly.com/question/14394630#

#SPJ11                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

Complete question :

Lithium, Sodium, and Calcium are all considered to be cations because they tend to when forming chemical bonds.

(a) gain protons

(b) lose electrons

(c) share protons

(d) share electrons

(e) gain electrons

(f) lose protons

Use equation(s) to show how you would synthesize the
following and use curved arrows
to outline the mechanism of each.
a) Bromocyclopentane from an alkene
b) 2-butanol from an alkene

Answers

a) Bromocyclopentane can be synthesized from an alkene through a radical bromination mechanism, involving the addition of bromine radicals (Br·) to the alkene.

b) 2-Butanol can be synthesized from an alkene through acid-catalyzed hydration, where the alkene undergoes addition of water (H₂O) and subsequent proton transfer reactions.

a) To synthesize bromocyclopentane from an alkene, the reaction can be carried out using a radical bromination mechanism. The overall reaction equation is as follows:

Alkene + Br₂ → Bromocyclopentane

The mechanism involves three steps: initiation, propagation, and termination.

Initiation: The bromine molecule (Br₂) is homolytically cleaved by UV light or heat, forming two bromine radicals (Br·).

Br₂ → 2Br·

Propagation:

A bromine radical (Br·) abstracts a hydrogen atom from the alkene, generating an alkyl radical.

Br· + Alkene → Alkyl Radical

The alkyl radical reacts with a bromine molecule (Br₂), resulting in the formation of a bromoalkane and a new bromine radical.

Alkyl Radical + Br₂ → Bromoalkane + Br·

Termination: The bromine radicals (Br·) can undergo various termination reactions, such as recombination or reaction with impurities or solvent molecules, to form stable products and stop the radical chain reaction.

Overall, these steps outline the mechanism of the radical bromination reaction that converts an alkene into bromocyclopentane.

b) To synthesize 2-butanol from an alkene, the reaction can be carried out using acid-catalyzed hydration. The overall reaction equation is as follows:

Alkene + H₂O + H⁺ → 2-Butanol

The mechanism involves the addition of water to the alkene under acidic conditions, leading to the formation of an intermediate carbocation, followed by nucleophilic attack and subsequent proton transfer.

Protonation of the alkene:

The alkene reacts with the acid catalyst (H⁺), resulting in the protonation of the double bond.

Alkene + H⁺ → Carbocation

Nucleophilic attack by water:

Water (H₂O) acts as a nucleophile and attacks the carbocation, leading to the formation of an oxonium ion.

Carbocation + H₂O → Oxonium Ion

Proton transfer:

A proton is transferred from the oxonium ion to a water molecule, resulting in the formation of 2-butanol and regeneration of the acid catalyst.

Oxonium Ion + H₂O → 2-Butanol + H⁺

This mechanism demonstrates how an alkene can be converted to 2-butanol through acid-catalyzed hydration, involving the addition of water and subsequent proton transfer reactions.

Learn more about acid-catalyzed hydration

brainly.com/question/30639561

#SPJ11

The equation below describes the Radioactive decay of a substance. If the Half-Life of the substance is 10000 years, determine the constant k : Q(t)=Q_0e^kt

Answers

150 half-lives are required for the amount of substance to drop below one-millionth of its initial quantity.

The equation below describes the Radioactive decay of a substance.

If the Half-Life of the substance is 10000 years, determine the constant k: Q(t) = Q0e^(kt)

The given equation is:

Q(t) = Q0e^(kt)

Where Q0 is the initial quantity of the substance

Q(t) is the quantity of the substance remaining after time t

k is the constant to be determined.

Given that the half-life of the substance is 10000 years.

So, after 10000 years the quantity of the substance remaining is:

1/2 of the initial quantity of the substance (Q0/2).

Therefore, Q(t) = Q0/2e^(k*10000)Q0/2 = Q0e^k(10000)1/2 = e^(k*10000)

Taking natural logs of both sides:

ln (1/2) = k(10000)ln(1/2)/10000 = k

ln(1/2) = -ln2∴k = -0.0000693Approximately

150 half-lives are required for the amount of substance to drop below one-millionth of its initial quantity.

Learn more about initial quantity from this link:

https://brainly.com/question/23971613

#SPJ11

answer ALL
please
An aqueous solution is made by dissolving 25.0 grams of lead nitrate in 435 grams of water. The molality of lead nitrate in the solution is m.
In the laboratory you are asked to make a 0.660

Answers

The mass of lead nitrate is given as 25.0 grams. The molar mass of lead nitrate (Pb(NO3)2) can be calculated by summing up the individual molar masses of Pb, N, and O.Molar mass of Pb = 207.2 g/molMolar mass of N = 14.01 g/molMolar mass of O = 16.00 g/mol

The molality (m) of the lead nitrate solution can be calculated using the formula,m = (moles of solute) / (mass of solvent in kg)The number of moles of Pb(NO3)2 can be calculated as follows:Number of moles of Pb(NO3)2 = (mass of Pb(NO3)2) / (molar mass of Pb(NO3)2)= 25.0 g / 331.2 g/mol= 0.0753 mol

The mass of water in kg is 435 / 1000 = 0.435 kgTherefore, the molality of the solution can be calculated using the formula,m = (0.0753 mol) / (0.435 kg)= 0.173 MThe molality of the lead nitrate solution is 0.173 M.

The mass of lead nitrate required to make 0.660 More than 100 ml of 0.250 M Pb(NO3)2 solution can be calculated as follows:Number of moles of Pb(NO3)2 required = (0.660 L) × (0.250 mol/L) = 0.165 molThe mass of Pb(NO3)2 required can be calculated as follows:Mass of Pb(NO3)2 required = (number of moles of Pb(NO3)2) × (molar mass of Pb(NO3)2))= 0.165 mol × 331.2 g/mol= 54.68 g

Therefore, the mass of lead nitrate required is 54.68 g to make 0.660 More than 100 ml of 0.250 M Pb(NO3)2 solution.

To know more about lead visit:

https://brainly.com/question/13264277

#SPJ11

4. (3 pts) Thiophenol ({C}_{6} {H}_{5} {SH}) is a weak acid with a {pK}_{a} of 6.6 . Would you expect thiophenol to be more soluble in a 0.1

Answers

Thiophenol ({C6H5SH}) is a weak acid with a pKa of 6.6. Solubility is a measure of a substance's ability to dissolve in a solvent.

When the solute's molecules interact favorably with the solvent's molecules, solubility is maximized. As a result, the solubility of a substance is frequently influenced by the solvent's properties. As a result, the solubility of thiophenol in a 0.1M sodium hydroxide (NaOH) solution can be determined as follows. The answer is the first one. When thiophenol ({C6H5SH}) is added to the NaOH solution, it will deprotonate. The following equation depicts the deprotonation of thiophenol to form the thiophenol anion ({C6H5S-}): C6H5SH (aq) + NaOH (aq) → C6H5S- (aq) + H2O (l)This deprotonation reaction is favored because the Na+ ion interacts favorably with the C6H5S- ion, while the H2O molecule interacts poorly with the C6H5SH molecule. As a result, thiophenol is more soluble in a 0.1M NaOH solution than in water because the reaction drives the equilibrium to the right and the thiophenol ion's solubility is greater in the basic solution than in water.

Learn more about Solubility :

https://brainly.com/question/28202068

#SPJ11

How many grams of {ZnSO}_{4} are there in 223 grams of an aqueous solution that is 21.8 % by welght {ZnSO} . { g } {ZnSO}_{4}

Answers

Given the aqueous solution is 21.8% by weight of {ZnSO4}.We can use this information to find out how many grams of {ZnSO4} are there in 100 grams of the aqueous solution. We then use this value to find out how many grams of {ZnSO4} are there in 223 grams of the solution.

Using the formula:% By weight of ZnSO4 = (Weight of ZnSO4 / Weight of Aqueous Solution) x 10021.8 = (Weight of {ZnSO4} / 100) x 100Weight of {ZnSO4} in 100 g of Aqueous solution = 21.8 gNow, we can use the concept of ratios to find the weight of {ZnSO4} in 223 g of the solution.Weight of {ZnSO4} in 1 g of the solution = 21.8/100 gWeight of {ZnSO4} in 223 g of the solution = 223 x 21.8/100 g

Weight of {ZnSO4} in 223 g of the solution = 48.67 gTherefore, there are more than 100 grams of {ZnSO4} in 223 grams of the given aqueous solution. Specifically, there are 48.67 grams of {ZnSO4}.

To know more about solution visit:

https://brainly.com/question/1616939

#SPJ11

from n=3 to n=6 J (energy) s−1 (frequency) m (wavelength) radiation is emitted radiation is absorbed (b) from n=9 to n=3 J (energy) s−1 (frequency) m (wavelength) radiation is emitted radiation is absorbed (c) from n=7 to n=4 ] (energy) s−1 (frequency) m (wavelength)

Answers

From the question;

1) The frequency is  2.75 * 10^14 Hz

2) The frequency is 3.25 * 10^16 Hz

3) The frequency is  1.4 * 10^14 Hz

What is the energy levels?

The energy levels can be obtained from the Rydberg formula.

We know that;

1/λ = RH(1/n1^2 - 1/n2^2)

1/λ =  1.097 * 10^7 (1/3^2 - 1/6^2)

λ =   1.09 * 10^-6 m

E = hc/λ

E = 6.6 * 10^-34 * 3 * 10^8/ 1.09 * 10^-6

= 1.82 * 10^-19 J

E = hf

f = E/h

f = 1.82 * 10^-19 J/ 6.6 * 10^-34

f = 2.75 * 10^14 Hz

2)

1/λ =  1.097 * 10^7 (1/3^2 - 1/9^2)

λ =  9.2 * 10^-9 m

E = hc/λ

E = 6.6 * 10^-34 * 3 * 10^8/   9.2 * 10^-9

E = 2.15 * 10^-17 J

E = hf

f = 2.15 * 10^-17 J/ 6.6 * 10^-34

f = 3.25 * 10^16 Hz

3)

1/λ =  1.097 * 10^7 (1/4^2 - 1/7^2)

λ = 2.2 * 10^-6 m

E =   6.6 * 10^-34 * 3 * 10^8/2.2 * 10^-6

= 9 * 10^-20 J

f = 9 * 10^-20 J/6.6 * 10^-34

f = 1.4 * 10^14 Hz

Learn more about energy levels:https://brainly.com/question/30546209

#SPJ4

A chemist, Dr. V.A. Pore, wishes to detect an impurity in a certain compound that she is making. There is a test that has sensitivity of 0.9 and specificity of 0.95. That is, the test is positive for an impurity when an impurity is present 90% of the time, and the test is negative for an impurity when no impurity is present 95% of the time. About 15\% of Dr. Pore's compounds contain an impurity. 9. A compound is selected at random from Dr. Pore's output. The test indicates that an impurity is present. What is the conditional probability that the selected compound actually has an impurity? 1 10. Another compound is selected at random from Dr. Pore's output. The test indicates that an impurity is not present. What is the conditional probability that the selected compound is actually free of an impurity? 11. Two processes of a company produce rolls of materials. The rolls of Process I are 3% defective, and the rolls of Process II are 1% defective. Process I produces 60% of the company's output, Process II 40%. A roll is selected at random from the total output. Given that this roll is defective, what is the conditional probability that it is from Process I?

Answers

The correct options are:1.

Conditional probability that the selected compound actually has an impurity is 0.74.2.

Conditional probability that the selected compound is actually free of an impurity is 0.0185.3.

Conditional probability that the selected roll is from Process I given that it is defective is 0.64.

Here, we need to find out the probability that a selected compound has an impurity given that the test indicates an impurity is present.

P(A) = probability that a compound has impurity = 0.15

P(B) = probability that the test indicates an impurity is present

= 0.15 x 0.9 + 0.85 x 0.05

= 0.14 + 0.0425

= 0.1825P

(B|A) = probability that the test indicates an impurity is present given that the compound has impurity = 0.9

Therefore, by Bayes' Theorem,

P(A|B) = P(B|A) * P(A) / P(B)

         = 0.9 * 0.15 / 0.1825

         = 0.7370

         ≈ 0.74

Conditional probability that the selected compound actually has an impurity is 0.74.10.

Here, we need to find out the probability that a selected compound is actually free of an impurity given that the test indicates an impurity is not present.

P(A) = probability that a compound has impurity = 0.15

P(B) = probability that the test indicates an impurity is not present = 0.85 x 0.95 + 0.15 x 0.1 = 0.8075

P(B|A) = probability that the test indicates an impurity is not present given that the compound has impurity

          = 0.1

Therefore, by Bayes' Theorem,

P(A|B) = P(B|A) * P(A) / P(B)

          = 0.1 * 0.15 / 0.8075

          = 0.0185

Conditional probability that the selected compound is actually free of an impurity is 0.0185.11.

Here, we need to find out the probability that the selected roll is from Process I given that it is defective.

Let A denote the event that a roll is from Process I and B denote the event that a roll is defective.

Then, we need to find out P(A|B).

P(A) = probability that a roll is from Process I = 0.6

P(B|A) = probability that a roll is defective given that it is from Process I = 0.03

P(B|A') = probability that a roll is defective given that it is from Process II = 0.01

P(A'|B) = probability that a roll is from Process II given that it is defective

Therefore, by Bayes' Theorem,

P(A|B) = P(B|A) * P(A) / [P(B|A) * P(A) + P(B|A') * P(A')]

= 0.03 * 0.6 / (0.03 * 0.6 + 0.01 * 0.4)

= 0.6429

≈ 0.64

Conditional probability that the selected roll is from Process I given that it is defective is 0.64.

Hence, the correct options are:1.

Conditional probability that the selected compound actually has an impurity is 0.74.2.

Conditional probability that the selected compound is actually free of an impurity is 0.0185.3.

Conditional probability that the selected roll is from Process I given that it is defective is 0.64.

Learn more about  impurity from this link:

https://brainly.com/question/14932983

#SPJ11

write the chemical symbol for the element (in the third period) that would have the following set of ionization energy values . Ionization step Ionization energy (kJ/mol) Ei11012 Ei21903 Ei32912Ei4 - 4956Ei5 - 6273 Ei622233 Ei725997

Answers

The element with the given ionization energy values is Silicon (Si), in the third period of the periodic table.

The chemical symbol for the element in the third period that would have the set of ionization energy values given is Si (Silicon).

The ionization energy values provided are as follows:

Ionization Step Ionization Energy (kJ/mol)

Ei1 1012

Ei2 1903

Ei3 2912

Ei4 -4956

Ei5 -6273

Ei6 22233

Ei7 25997

Based on these values, we can identify the element as Silicon, which has the atomic number 14. Silicon belongs to the third period of the periodic table and has the chemical symbol Si. The ionization energy is the energy required to remove an electron from an atom or ion.

In this case, we observe that the ionization energy generally increases from Ei1 to Ei4, indicating the removal of electrons from the outermost shell.

However, the negative values of Ei4 and Ei5 suggest that the removal of electrons in those steps is energetically favorable, likely due to the stable electron configuration of a fully filled or half-filled subshell.

After Ei5, the ionization energy increases significantly (Ei6 and Ei7) as the removal of additional electrons becomes more challenging due to the increasing positive charge of the ion.

Therefore, the element in the third period with the given ionization energy values is Silicon (Si).

Learn more about Ionization

brainly.com/question/1602374

#SPJ11

which quantity must change to have a transmutation? a) oxidation number b) atomic mass c) atomic number d) electrical charge

Answers

The correct option is c) Atomic number.

Transmutation is the conversion of one chemical element or isotope into another. The quantity that must change for a transmutation is atomic number. Transmutation can be described as the conversion of one chemical element into another. It can also be described as a change in the atomic nucleus that results in the conversion of one element into another. In order for a transmutation to occur, the number of protons in the nucleus of the atom must change. This means that the atomic number must change. The atomic number is the number of protons in the nucleus of an atom. If the number of protons changes, then the element itself will change. For example, the transmutation of uranium into lead is a well-known example of this process. Uranium has an atomic number of 92, while lead has an atomic number of 82. In order for this transmutation to occur, the number of protons in the nucleus of the atom must change from 92 to 82.

Learn more about Transmutation

https://brainly.com/question/919112

#SPJ11

For C18 stationary phase, which mobile phase is expected to give the longest elution time ? * [ acetonitrile acetonitrile 20% - Water 80% acetonitrile 80% - Water 20% acetonitrile 50% - Water 50% 17. Which of the following methods can be used to overcome detector fluctuations? * [ד] spiking degassing standard addition method internal standard method

Answers

Higher polarity mobile phase (e.g., acetonitrile 80% - water 20%) leads to longer elution times on C18 stationary phase due to stronger interaction. Internal standard method compensates detector fluctuations by adding a known compound to the sample, improving result accuracy.

For a C18 stationary phase, a mobile phase with higher polarity, such as acetonitrile 80% - water 20%, is expected to give the longest elution time. This is because a more polar mobile phase interacts more strongly with the hydrophobic stationary phase, leading to slower elution of analytes.

As for question 17, the method that can be used to overcome detector fluctuations is the internal standard method. In this method, a known compound (the internal standard) is added to the sample before analysis.

The internal standard is a compound that is not expected to be present in the sample but is similar in chemical properties to the analyte.

By measuring the response of the analyte relative to the internal standard, detector fluctuations can be compensated for, providing more accurate and reliable results.

To know more about stationary phase refer here :    

https://brainly.com/question/10104232#

#SPJ11                                                                                                                

It required 20 ml of 0.1N NaOH to neutralize 10 ml of HCL. What
is the normality of the HCL?

Answers

The normality of HCl given in the question above is 0.5.

Normality Calculation

Normality of NaOH = 0.1 N

Volume of NaOH = 20 mL

Volume of HCl = 10 mL

Comparing the ratios

Since NaOH and HCl react in a 1:1 ratio, then the normality of HCl is equal to the normality of NaOH. Therefore, the normality of HCl is 0.5.

Learn more on Normality:

https://brainly.com/question/22817773

#SPJ4

what nuclide is produced in the core of a giant star by each of the following fusion reactions? 1st attempt part 1see hint $$ part 2 $$ part 3 $$

Answers

The nuclide produced in the core of a giant star by each of the following fusion reactions are as follows:

1. Fusion Reaction: Hydrogen-1 (H-1) + Hydrogen-1 (H-1) → Deuterium (H-2) + Positron (e+) + Electron neutrino (νe)

What nuclide is produced in the core of a giant star by each fusion reaction?

In the core of a giant star, two hydrogen-1 nuclei (protons) undergo fusion to form deuterium (a hydrogen isotope with one proton and one neutron), along with the release of a positron and an electron neutrino. This reaction is known as proton-proton chain reaction and is a crucial step in stellar nucleosynthesis

In the core of a giant star, two helium-3 nuclei undergo fusion to form helium-4, along with the release of two hydrogen-1 nuclei. This reaction is known as the helium burning process, and it occurs at higher temperatures and densities than the proton-proton chain reaction.

Learn more about fusion reactions

brainly.com/question/28020465

#SPJ11

Classify each of the following complexes as either paramagnetic or diamagnetic:
[Zn(OH2)6]2+, [Cr(en)3]3+

Answers

Paramagnetic refers to the ability of a substance to become magnetized in the presence of an external magnetic field. When all of the electrons are paired, the substance is diamagnetic and does not show magnetic properties. Zn(OH2)6]2+ has no unpaired electrons. It is therefore diamagnetic and does not show magnetic properties. Cr(en)3]3+ has an unpaired electron. It is therefore paramagnetic and shows magnetic properties.

Paramagnetic and diamagnetic are the two categories of magnetic properties. In the presence of a magnetic field, diamagnetic substances exhibit a repulsive force, whereas paramagnetic substances exhibit an attractive force. The electrons in diamagnetic substances are all paired up in their respective orbitals, thus they are unaffected by a magnetic field. Whereas, paramagnetic substances have unpaired electrons that will orient themselves in the direction of the magnetic field and exhibit magnetic behavior.

[Zn(OH2)6]2+

Zinc(II) has a d10 electron configuration, with no unpaired electrons in the outermost shell. So, [Zn(OH2)6]2+ complex ion does not have any unpaired electrons and will not exhibit any magnetic behavior. Thus, it is a diamagnetic complex.

[Cr(en)3]3+

When a complex is formed with a transition metal such as chromium, the coordination compounds can exhibit paramagnetic behavior if they have at least one unpaired electron. In the outermost shell, Cr(III) has 3 d electrons, which could be either paired or unpaired. Chromium(III) complex ion [Cr(en)3]3+ has three chelating ethylenediamine (en) ligands, resulting in an octahedral coordination geometry. All of the electrons in chromium are paired except one, which is in the t2g orbital, and it has one unpaired electron in the e g orbital, which causes it to become paramagnetic.

In conclusion, [Zn(OH2)6]2+ complex ion has no unpaired electrons and will not exhibit any magnetic behavior. Thus, it is a diamagnetic complex. Whereas, [Cr(en)3]3+ complex ion is paramagnetic because it has one unpaired electron, which causes it to become paramagnetic.

To know more about Paramagnetic visit

https://brainly.com/question/29597588

#SPJ11

Data Table 1. Varving Concentrations of HCl Data Table 2. V/anina C nnrantratiane nf Nan SnOn

Deteine the reaction order for HCl using calculations described in the background section. Show your work. Note that your answer will probably not be a whole number as it is in the examples, so round to the nearest whole number. Deteine the reaction order for Na2S2O3 using calculations described in the background section. Show your work. Note that your answer will probably not be a whole number as it is in the examples.

Answers

The necessary data to perform the calculations and determine the relationship between concentration and rate, it is not possible to determine the reaction order for HCl and Na2S2O3.

To determine the reaction order for HCl and Na2S2O3, we need more specific information and data regarding the concentrations and the rate of reaction. The provided tables are incomplete and don't include the necessary data for the calculations.The reaction order is determined by conducting experiments with varying concentrations of the reactants and measuring the corresponding rates of reaction. By plotting the concentration data and the rate data, we can analyze the relationship between them and determine the reaction order.The reaction order is usually expressed as a power of the concentration of a reactant in the rate equation. For example, if the rate equation is given as Rate = k[HCl]^x[Na2S2O3]^y, the reaction order for HCl would be represented by the exponent 'x', and for Na2S2O3, it would be represented by 'y'.

For more such questions on relationship

https://brainly.com/question/27960218

#SPJ8

What is the mass in grams of a single atom of Sb? Round your answer to 4 significant digits.

Answers

The mass in grams of a single atom of Sb is 2.020 x 10⁻²² g (rounded to 4 significant digits). The atomic mass of antimony (Sb) is 121.76 g/mol. To determine the mass of one atom of Sb, we need to divide the molar mass by Avogadro's number (6.022 x 10²³).

This will give us the mass of one mole of Sb, and dividing that by 6.022 x 10²³ will give us the mass of one atom of Sb. Here's the calculation:

Atomic mass of Sb = 121.76 g/mol

One mole of Sb = 121.76 g

Atoms in one mole of Sb = Avogadro's number = 6.022 x 10²³

Mass of one atom of Sb = (121.76 g/mol) ÷ (6.022 x 10²³ atoms/mol)

= 2.020 x 10⁻²² g ≈ 0.00002020 g ≈ 20.20 μg (rounded to 4 significant digits)

Therefore, the mass in grams of a single atom of Sb is 2.020 x 10⁻²² g (rounded to 4 significant digits).

To know more about mass visit :

https://brainly.com/question/11954533

#SPJ11

Pass 0.125 mL to μL=

Answers

A microliter (L) is equal to 0.125 milliliters (mL). Simply increase the amount of milliliters (mL) by 1000 to convert it to microliters (L).

To convert milliliters to microliters, you simply multiply the number of milliliters by 1000. In this case, 0.125 mL * 1000 = 125 μL.

Here is a more detailed explanation of the conversion:

1 milliliter (mL) is equal to 1000 microliters (μL).

Therefore, to convert from mL to μL, you simply multiply the number of mL by 1000.

In this case, 0.125 mL * 1000 = 125 μL.

Here is an example of how you would use this conversion in a sentence:

"The solution was diluted to a concentration of 125 μL per mL."

To know more about microliter refer here :    

https://brainly.com/question/10959978#

#SPJ11                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

a 5.000 g sample of an organic hydrocarbon is combusted and the products measured. in the reaction, 15.37 g of carbon dioxide and 7.186 g of water are produced. assuming the oxygen used for the combustion was in excess, determine the empirical formula of the hydrocarbon

Answers

The empirical formula of the hydrocarbon is CH2.

To determine the empirical formula of the hydrocarbon, we need to find the moles of carbon and hydrogen in the given amounts of carbon dioxide and water. Calculate the moles of carbon dioxide (CO2) and water (H2O) using their respective molar masses.

Moles of CO2 = 15.37 g / molar mass of CO2

Moles of H2O = 7.186 g / molar mass of H2O

Determine the ratio of moles of carbon to moles of hydrogen in the hydrocarbon. Since the empirical formula represents the simplest whole-number ratio of atoms in a compound, we divide the number of moles by the smallest value obtained.

In this case, the moles of carbon in the hydrocarbon are equal to the moles of carbon dioxide, and the moles of hydrogen are twice the moles of water.

Therefore, the empirical formula of the hydrocarbon is CH2.

Learn more about empirical formula

brainly.com/question/32125056

#SPJ11

Select ALL that apply. Which of the following would be helpful in reducing greenhouse gas emissions?
Building more efficient internal combustion vehicles, but using them more.
Making energy from clean sources affordable and cheaper than subsidized fossil fuels.
Increasing consumption of alternative meat proteins such as insects.
Decreasing the connectivity within our cities and increasing urban sprawl.
Making efforts to restore natural ecosystems and improving soil fertility.
Incorporating more telecommunication, tele-education and virtual entertainment in our lives.
Diverting finances from fossil fuel subsidies to support public expenditures used to expand social safety nets.

Answers

Among the given options, the following would be helpful in reducing greenhouse gas emissions:

Making energy from clean sources affordable and cheaper than subsidized fossil fuels. Making efforts to restore natural ecosystems and improve soil fertility.Incorporating more telecommunication, tele-education, and virtual entertainment in our lives.Diverting finances from fossil fuel subsidies to support public expenditures used to expand social safety nets.

Greenhouse gas emissions are pollutants that contribute to global warming, and they include gases such as carbon dioxide (CO2), methane (CH4), and nitrous oxide (N2O).

The option "Building more efficient internal combustion vehicles, but using them more" is not effective in reducing greenhouse gas emissions as it promotes increased vehicle usage despite their efficiency, resulting in continued greenhouse gas emissions. Similarly, the option "Increasing consumption of alternative meat proteins such as insects" is not helpful as the energy-intensive production of alternative meat proteins may still contribute to greenhouse gas emissions. Additionally, the option "Decreasing the connectivity within our cities and increasing urban sprawl" is also not beneficial as it encourages urban sprawl, potentially causing deforestation and greater reliance on private transportation.

Learn more about "Greenhouse gas":

https://brainly.com/question/12684997

#SPJ11

For a hypothetical reaction of A --> B occurring in the cell, the ΔG is +3 kJ/mol and the ΔGo' is -2 kJ/mol for a reaction occurring at 25oC.
What is the ratio of [A]/[B] found in the cell?
Possible answers are:
0.13
2.01
5
7.5

Answers

The ratio of [A]/[B] found in the cell is 2.01. Option B is correct.

Given that the ΔG for a hypothetical reaction of A = B occurring in the cell is +3 kJ/mol and the ΔGo' is -2 kJ/mol for a reaction occurring at 25oC.

We are to find the ratio of [A]/[B] found in the cell.

To calculate the ratio of [A]/[B] found in the cell, we will make use of the Gibbs free energy equation that is given as follows:

ΔG = ΔGo' + RT ln([B]/[A])

whereΔG = Gibbs free energy of the reaction

ΔGo' = Standard Gibbs free energy of the reaction

R = Ideal gas constant = 8.314 J/mol

K = 0.008314 kJ/mol K

T = temperature in Kelvin

= 298 K [A] and [B] are the concentrations of the reactants A and product B, respectively.

The ratio of [A]/[B] can be obtained by rearranging the Gibbs free energy equation as follows:

ln([B]/[A]) = (ΔG - ΔGo') / RT[B]/[A]

= e^[ΔG - ΔGo') / RT]

Substitute the given values into the above equation as follows:

[B]/[A] = e⁵ / (0.008314 × 298)] = 2.01

Therefore, Option B is correct.

Learn more about reactants -

brainly.com/question/26283409

#SPJ11

Perform the following conversion:
83 grams = _________ megagrams
(Do not use scientific notation.)

Answers

The given value is 83 grams. So, 83 grams is equal to 0.000083 megagrams.

Converting grams to megagrams we get,1 megagram = 1,000,000 grams

So, 1 gram = 1/1,000,000 megagrams

Converting 83 grams to megagrams:

83 grams = 83/1,000,000 megagrams = 0.000083 megagrams

We can convert from grams to megagrams using the following formula:

1 megagram = 1,000,000 grams

Hence, 1 gram = 1/1,000,000 megagrams

To convert 83 grams to megagrams, we can use this formula and substitute the given value of 83 grams.

83 grams = 83/1,000,000 megagrams= 0.000083 megagrams

Therefore, 83 grams is equal to 0.000083 megagrams.

Learn more about megagrams: https://brainly.com/question/7648418

#SPJ11

For the Gluep prepared with 2 Tbsp of borax, indicate the
similarities and differences between this gluep and the first
sample.

Answers

For the Gluep prepared with 2 Tbsp of borax, some similarities and differences between this gluep and the first sample are given below.

Similarities:Both the glueps contain the same ingredients such as Elmer’s glue, water, and food coloring. Both the glueps are non-toxic and safe for children to play with. Both the glueps are polymers and behave in a similar way to other polymer substances.

Differences:The first sample of gluep is more fluidic and easy to pour compared to the gluep prepared with 2 Tbsp of borax. The second gluep is more viscous and behaves like a solid when force is applied. The first sample of gluep is more transparent and clearer compared to the gluep prepared with 2 Tbsp of borax. The second gluep is more opaque and thicker. The first sample of gluep can be peeled off from the surface, while the gluep prepared with 2 Tbsp of borax behaves like a solid and cannot be peeled off.

Gluep is a simple and fun experiment that is easy to prepare with only a few common household ingredients. It is an example of a polymer that behaves as both a solid and a liquid. Elmer's glue contains a polymer called polyvinyl acetate (PVA) which is responsible for the glue's adhesive properties. When borax is added to the glue, the PVA molecules cross-link to form a network of chains, making the glue thicker and more elastic.

In conclusion, both the glueps have similarities and differences, with the first sample being more transparent and easier to pour while the gluep prepared with 2 Tbsp of borax being more viscous and behaving like a solid. Both glueps are polymers and non-toxic, making them safe for children to play with.

To know more about Gluep visit

https://brainly.com/question/8808216

#SPJ11

Other Questions
two adjacent energy levels of an electron in a harmonic potential well are known to be 2.0 ev and 2.8 ev. what is the spring constant of the potential well? The following strategy is suggested for successful brainstorming session:A. Set aside definite amount of time.B. Make sure that each member critiques each idea as it is presented.C. Do not consider reverse brainstorming.D. Allow quiet members to refrain from participating. Evaluation of Overall Stock Market Performance Using the Main Indexes: Compare and contrast the three major stock market indexes (i.e. Dow Jones Industrial Average, SP 500, and NASDAQ Composite). Graph the performance of indexes from 1996 to present. Analyze the trends and explain the major events from 1996. Discuss the overall economic outlook and analysts' forecast of the stock market. What are the factors that affect how the stock market performs? Where do you see the stock market going over the next three months? One year? Three years? Kindly looking forward for your help to solve this LAB urgently with proper tested class in java programming:Question(s)Suppose that a file named "testdata.txt" contains the following information: The first line of the file is the name of a student. Each of the next three lines contains an integer. The integers are the student's scores on three tests.Write a program that will read the information in the file and display (on the standard output) a message that contains the name of the student and the student's average grade on the three tests. The average is obtained by adding up the individual test grades and then dividing by the number of tests.Suppose that a file contains information about sales figures for a company in various cities. Each line of the file contains a city name, followed by a colon (:) followed by the data for that city. The data is a number of type double. However, for some cities, no data was available. In these lines, the data is replaced by a comment explaining why the data is missing. For example, several lines from the file might look like this:San Francisco: 19887.32Chicago: no report receivedNew York: 298734.12Write a program that will compute and print the total sales from all the cities together. The program should also report the number of cities for which data was not available. The name of the file is "sales.dat".Suggestion: For each line, read and ignore characters up to the colon. Then read the rest of the line into a variable of type String. Try to convert the string into a number, and use try..catch to test whether the conversion succeeds. Romeo says Juliet "hangs upon the cheek of night," meaningResetNext Define a function which returns the keywords for the given valuedef check_value(search_dic, value): # provide code return keys #testing price=\{"apple": 1 , "banana": 2, "cherry": 10,"orange": 5} if check_value(price, 2)=="banana": if check_value(price,4)==None: print("test passed") else: print("test failed") else: print("test failed") Assume that 23% of people with blue eyes will be diagnosed with cancer at some point in their life time, where 43% of people without blue eyes will get diagnosed with cancer at some point in their lifetime. It is known that only 8% of the population has blue eyes. (a) Ignoring probabilities Construct a tree diagram starting with blue eyes or not blue Choose the answer that is written correctly & shows the correct capitalization & punctuation.A) "this movie is exciting," she whispered.B) He remarked, "They're dimming the lights."C) Zena asked, "did you already buy the tickets?"D) "Would you rather sit in the front? asked Don." this question is not based on any previous question in this module. suppose we would like to do a one-way independent anova. suppose we have 12 data points and there are 4 groups. what is the critical value for the anova? answer to two decimal places. How many grams of Cu are there in a sample of Cu that contains 4.6210 23atoms? grams A sample of Se weighs 11.3 grams. Will a sample of Al that contains the same number of atoms weigh more or less than 11.3 grams? A sample of Al weighs less than 11.3 grams. A sample of Al weighs more than 11.3 grams. Calculate the mass of a sample of Al that contains the same number of atoms. Mass = The purchase of office equipment for cash would be recorded in the1) cash receipts journal 2)control account 3) accounts payable subsidiary ledger 4)cash payments journal Calculate Ecell for each of the following balanced redox reactions.Part A: O2(g)+2H2O(l)+4Ag(s) 4OH(aq)+4Ag+(aq) Q2. What is the concentration of a solution, in {ppb} & {~g} / {m}^{3} , if 1.2 gram of {NaCl} is dissolved in 1000 grams of water? Which of the following substances is a key component of the major buffer system in extracellular fluids?proteinNaH2PO4NaOHNaHCO3 Maria's Foods produces frozen meals that it sells for $14 each. The company computes a new monthly fixed manufacturing overhead allocation rate based on the planned number of meals to be produced that month. Assume all costs and production levels are exactly as planned. The following data are from Maria's Foods's first month in business: (Click the icon to view the data.) Read the requirements. ne statement using absorption costing. Data table tion costing or variable costing in January? In January, absorption costing operating income variable costing operating income. How should seasonal revenues be reported in an interim financial statement?A. The seasonal nature should be disclosed, and a pro forma report for the next 12-month period should supplement the interim report.B. The seasonal nature should be disclosed but no other reports should accompany the interim report.C. The seasonal nature should be disclosed, and a supplemental report for the 12-month period ended at the interim date should supplement the interim report.D. The financial statements should be adjusted to reflect the assumption that no seasonal revenues could be earned.E. Seasonal revenues have no particular reporting requirement.C. The seasonal nature should be disclosed, and a supplemental report for the 12-month period ended at the interim date should supplement the interim report. a relative measure of the reproductive output of an individual with a given phenotype compared with the reproductive output of individuals with alternative phenotypes. a survey of 1457 people, 1107 people said they voted in a recent presidential election. Voting records show that 74% of eligible voters actually did vote. Given that 74% of eligible voters actually did vote, (a) find the probability that among 1457 randomly selected voters, at least 1107 actually did vote. (b) What do the results from part (a) suggest? (a) P(X1107)= (Round to four decimal places as needed.) When is the optimal time to submit the Direct Deposit Reversal form after payroll has been processed? The next dayThe same day Between the 2 nd and 4th day after the pay date Between the 3 rd and 5 th day after the pay date Let X and Y be two independent random variable, uniformly distributed over the interval (-1,1). 1. Find P(00). Answer: 2. Find P(X>0 min(X,Y) > 0). Answer: 3. Find P(min(X,Y) >0|X>0). Answer: 4. Find P(min(X,Y) + max(X,Y) > 1). Answer: 5. What is the pdf of Z :=min(X, Y)? Ofz(x):= (1 - x)/2 if z (-1,1) and fz(z) = 0 otherwise. Ofz(x) = (- 1)/2 if z (-1,1) and fz(2) = 0 otherwise. Ofz(2) := (2-1)/2 for all z. Ofz(2) := (1 - 2)/2 for all z. 6. What is the expected distance between X and Y? E [X-Y] = [Here, min (I, y) stands for the minimum of 2 and y. If necessary, round your answers to three decimal places.]