Write the following expression with as few symbols as possible, using the notational conventions:
x+((y* (z')) +t), x*((x+(y))+z)​

x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

Answer:

a) 0.0498

b) 0.1489

c) 0.1818

Step-by-step explanation:

Given:

Number of telephones = 6+6+6= 18

6 cellular, 6 cordless, and 6 corded.

a) Probability that all the cordless phones are among the first twelve to be serviced:

12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂

Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.

The possible ways of selecting thr remaining 6 telephones = ¹²C₆

Probability of servicing all cordless phones among the first twelve:

= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)

[tex] = \frac{1 * 924}{18564} [/tex]

[tex] = 0.0498 [/tex]

b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:

Here,

One type must be serviced first

The 6 remaining to be serviced can be a combination of the remaining two types.

Since there a 3 ways to select one type to be serviced, the probability will be:

= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂

[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]

[tex] = \frac{2766}{18564} [/tex]

[tex] = 0.1489 [/tex]

c) probability that two phones of each type are among the first six:

(⁶C₂)³/¹⁸C₆

[tex] \frac{3375}{18564}[/tex]

[tex] =0.1818 [/tex]

Answer:

A.  A = 8h + 10

     A = 10h

B.  5 hours

C.  $50

Step-by-step explanation:

A.  https://brainly.com/question/17036764

Pizza Place:  A = 8h + 10

Hardware Store:  A = 10h

Since you had made a separate question for part A, I answered that.

B.  Kevin's earnings is represented by A.  Because we want the earnings for each job to be equal, set the two equations equal to each other.  Solve for h.

8h + 10 = 10h

10 = 2h

5 = h

Kevin has to work 5 hours.

C.  Plug 5 into each equation.

A = 8h + 10

A = 8(5) + 10

A = 40 + 10

A = 50

A = 10h

A = 10(5)

A = 50

Kevin will make 50 from each job.

Answer:

I wanna end myself bye random stranger.

Answer:

y= -3.7x+100.94

Step-by-step explanation:

Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.

So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)

Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.

Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.

There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.

Answer: 135 degrees

Step-by-step explanation:

First you now that ABD+DBC=180 degrees

Subsitute so you get: (5x+10)+(2x-5)=180

Solve:

(5x+10)+(2x-5)=180

=> 7x+5=180

=> 7x=175

=> x= 25

Plug in 25 :

ABD= 5*25+10=135

And there is your answer

Answer:

a) 3 kilograms

b) 5.7 kilograms

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 3.89, \sigma = 0.68[/tex]

We have to find X for both values of Z.

a) z = -1.35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.35 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = -1.35*0.68[/tex]

[tex]X = 3[/tex]

3 kilograms

b) z = 2.64

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.64 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = 2.64*0.68[/tex]

[tex]X = 5.7[/tex]

5.7 kilograms

Answer:

b and I will be there at work and I will be there at work and I will be there at work and I will

Step-by-step explanation:

you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time

Answer:

7.2 times

Step-by-step explanation:

There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:

Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}

Therefore there is a 5 in 36 chance that the sum will be 6.

The expected number of trials to achieve that result is given by:

[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]

On average, it would take 7.2 trials to achieve a sum of 6.

Answer:

Step-by-step explanation:

We khow that the genetic mutation affect 2 percent of the population .

Let's try to understand what does this mean :

so :

and so on

Answer:

The picture on the bottom right.

Step-by-step explanation:

There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.

I hope this helps :)

Answer:

The answer is blue

Step-by-step explanation:

There are five colors. So count by fives until you hit 25.

red, blue, pink, green, and purple. 5

red, blue, pink, green, and purple. 10

red, blue, pink, green, and purple. 15

red, blue, pink, green, and purple. 20

red, blue, pink, green, and purple. 25

Then count to 27.

red, blue. 27

So it is blue.

This question is determined by using simple mathematics tricks . Therefore, the color is blue on painting 27.

Given:

The order of painting begin  from the red, blue, pink, green, and purple.

We need to determined the color of 27 painting.

According to question,

There are five colors for painting, count by fives until you hit 25.

Now, count the colors,

red, blue, pink, green, and purple - 5

red, blue, pink, green, and purple - 10  

red, blue, pink, green, and purple - 15

red, blue, pink, green, and purple - 20

red, blue, pink, green, and purple - 25

Now at 26 there is red and at 27  there is blue color.

Therefore, the color is blue on painting 27.

For further details, please prefer this link:

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Answer:

There are 0.01 meters in a centimeter.

Step-by-step explanation:

cent means 100th

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]\sqrt{-16}=\sqrt{16i^{2}}\\\\ =\sqrt{4^{2}*i^{2}}\\\\=4i[/tex]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

There is a 0.9986 probability that a randomly selected 27​-year-old male lives through the year. A life insurance company charges ​$174 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$90 comma 000 as a death benefit. Complete parts​ (a) through​ (c) below.

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

b. If the  27  -year-old  male purchases the policy, what is his expected value?

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

Answer:

a. The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $89,826

b. The expected value for a 27-year-old male is

E(x) = -$48

c. The expected value for the insurance company is

E(x) = $48

Step-by-step explanation:

The probability that a randomly selected 27​-year-old male survives is given by

P(survive) = 0.99864

The probability that a randomly selected 27​-year-old male does not survive is given by

P(not survive) = 1 - P(survive)

P(not survive) = 1 - 0.99864

P(not survive) = 0.0014

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

If 27​-year-old ​male survives:

The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

If 27​-year-old ​male does not survive:

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $90,000 - 174

Value(not survive) = $89,826

b. If the  27-year-old male purchases the policy, what is his expected value?

The expected value for a 27-year-old male is given by

E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)

E(x) = 0.9986×-174 + 0.0014×89,826

E(x) = -$48

The negative sign indicates that it is a loss from the perspective of the 27​-year-old ​male.

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

The expected value for the insurance company is given by

E(x) = 0.9986×174 + 0.0014×-89,826

E(x) = $48

The positive sign indicates that it is a profit from the perspective of the insurance company.

Answer:

[tex]V=\frac{4}{3}\pi r^{2}[/tex]

=[tex]\frac{4}{3}[/tex] x [tex]\pi[/tex] x [tex]7^3[/tex]

= 1436.755040

Volume = 1436.755040

Step-by-step explanation:

Answer:

1436.03 in³

Step-by-step explanation:

We can use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Plug in 7 for r:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](7)³

Plug in 3.14 for pi:

V = [tex]\frac{4}{3}[/tex](3.14)(343)

V = 1436.03 in³

Answer:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex] = 12π

Step-by-step explanation:

The field F is given by:

[tex]F = 3y\hat{i} + y\hat{j}+z\hat{k}[/tex]      (1)

The curve C is the ellipse:

[tex]\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1[/tex]

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.

The general form of an ellipse equation is:

[tex](\frac{x}{a})^2+(\frac{y}{b})^2=1[/tex]

The parametric equation is:

[tex]r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}[/tex]      (2)

The Stokes's theorem is given by the following identity:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex]    

The path integral is also:

[tex]\int F\cdot dr=\int F(r(t))\cdot dr(t)[/tex]      (3)

For F(r(t)) and dr(t) you obtain:

[tex]F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt[/tex]

Next, in the equation (3) you obtain:

[tex]\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi[/tex]

The circulation of the field around C is 12π

Answer:

22.62°

Step-by-step explanation:

tan x = 5/12

tan x = 0.416666667

x = arctan(0.416666667)

x = 22.61986983

x = 22.62°

Answer:

42

Step-by-step explanation:

7/8 = x / 48

We need to get a common denominator

Multiply the left side by 6

7/8 *6/6 = x/48

42/48 = x/48

Since the denominators are equal, the numerators must be equal

42 =x

Answer:

42

Step-by-step explanation:

7/8=42/48

Cross products: 7(48)=8x

Hope you understand :)

Answer:

DF = 3.0

<E = 31°

<F = 59°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find side DF.

a² + b² = c²

5² + b² = 5.83²

25 + b² = 33.9889

b² = 8.9889

b = √8.9889

b = 2.998149429

b = 3.0

Side DF is equal to 3.0.

2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.

Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{5.83}[/tex] = 0.8576329331

Take the inverse cosine to find <E in degrees.

cos⁻¹ (0.8576329331) = 30.95 = 31°

<E is equal to 31°.

3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.

90° + 31° + x = 180°

121° + x = 180°

x = 59°

or

We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.

Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3.0}{5.83}[/tex] = 0.5145797599

Take the inverse cosine.

cos⁻¹(0.5145797599) = 59.03063031 = 59°

<F is equal to 59°.

Hope that helps. :)

Answer:

D because absolute value always makes the sign positive but if there is a negative before the absolute value, that would still stay there.

Step-by-step explanation:

An equation |-13|=13 is correct. Therefore, option D is the correct answer.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

Here,

A) |13|=-13

Absolute value of positive integer is positive. So, option A is incorrect.

B) -|13|=13

Absolute value of positive integer is positive.

Then, -13≠13

So, option B is incorrect.

C) -|-13|=13

Absolute value of negative integer is positive.

Then, -13≠13

So, option C is incorrect.

D) |-13|=13

Absolute value of negative integer is positive.

So, option D is incorrect.

An equation |-13|=13 is correct. Therefore, option D is the correct answer.

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Answer:

P = 0.5

Step-by-step explanation:

Let's call A the event that the second card is red suit and B the event that the second card is a heart.

So, the probability that the second card is a heart given that is a red suit is calculated as:

P(B/A) = P(A∩B)/P(A)

Additionally, the probability P(A∩B) that the second card is a red suit and is a heart is equal to the probability P(B) that the second card is a heart. So,

P(B/A) = P(B)/P(A)

Then, P(A) is equal to 0.5 because half of the cards are red cards and P(B) is equal to 0.25 because a quarter of the cards are red. Finally, P(B/A) is equal to:

P(B/A) = 0.25/0.5 = 0.5

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km[/tex]

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

Answer:

a

Step-by-step explanation:

on edge

Answer:

  5.793 s

Step-by-step explanation:

On average she swam 1/10 the distance in 1/10 the time.

She took an average of 5.793 seconds to swim 10 m.

___

10 m is 1/10 of 100 m

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

Answer:

50%

Step-by-step explanation:

There are 3 numbers that fit this rule, 4, 5, and 6. Since there are 6 number total, and 3 fit the rule, there is a 3/6 chance or 50% or rolling either of those numbers.

Answer:

50%

Step-by-step explanation:

The numbers that are 5 or greater than 3 on a dice are 4, 5, and 6.

3 numbers out of 6.

3/6 = 1/2

Convert to percentage.

1/2 × 100

= 50%

P(5 or greater than 3) = 50%

Answer:

The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 5, \sigma = 0.2[/tex]

What is the minimum weight of the heaviest 9.85% of all items produced?

This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.29 = \frac{X - 5}{0.2}[/tex]

[tex]X - 5 = 1.29*0.2[/tex]

[tex]X = 5.26[/tex]

The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.

Answer:

The shape of the graph of f(x)=x is that of a linear function.

Step-by-step explanation:

The graph f(x)=x is the parent function of the linear function.  It is a positive function since it goes upward from left to right, and it passes through the point of (0,0).  It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x.  Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.

The shape of the graph of function f(x) = x is that of a linear function.

There are many tools we can use to find the information of the relation which was used to form the graph. A graph contains data of which input maps to which output. Analysis of this leads to the relations which were used to make it.

The graph of a function f(x)=x is the parent function of the linear function.  

This is a positive function since it goes upward from left to right, and it passes through the point of (0,0).  

And also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x.  

Hence, the parent linear function and the graph of f(x)=x are the exact same graph.

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Answer:

The two numbers of rolls are 25.2 and 46.8.

Step-by-step explanation:

The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have  

[tex]P (|X -\mu| < k\sigma) \geq (1-\frac{1}{k^{2}})[/tex]

Here

[tex](1-\frac{1}{k^{2}})=0.75\\\\\Rightarrow \frac{1}{k^{2}}=0.25\\\\\Rightarrow k=\sqrt{\frac{1}{0.25}}\\\\\Rightarrow k=2[/tex]

Then we know that,

[tex]|X - \mu| \geq k\sigma,\\\\ \Rightarrow \mu - k\sigma \leq X \leq \mu + k\sigma[/tex].

Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.

Compute the two values between which at least 75% of the contestants lie as follows:

[tex]P(\mu - k\sigma \leq X \leq \mu + k\sigma)=0.75\\\\P(36 - 2\cdot\ 5.4 \leq X \leq 36 + 2\cdot\ 5.4)=0.75\\\\P(25.2\leq X\leq 46.8)=0.75[/tex]

Thus, the two numbers of rolls are 25.2 and 46.8.