A certain medicine is given in an amount proportional to a patients body weight. Suppose a person weighted 104 pounds requires 156 milligrams of medicine. What is the weight of a patient who requires 207 milligrams of medicine?

Answer:

8 : 1

Step-by-step explanation:

Consider the points on the line relating raspberry juice to lemon- lime soda

That is

raspberry juice    lemon- lime sode

         8                             1

        16                             2

        24                            3

         32                           4

These values are all in the ratio of 8 : 1

Answer:

8:1

Step-by-step explanation:

i just know

Answer:

Step-by-step explanation:

33.3%

19.4%

Answer:

I wanna end myself bye random stranger.

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:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

[tex]^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003[/tex]

There are 3003 different lineups that can be chosen.

Answer:

20x² - 43xw + 21w²

Step-by-step explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.

Answer:

[tex]20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]

solution,

[tex](4x - 3w)(5x - 7w) \\ = 4x(5x - 7w) - 3w(5x - 7w) \\ = 20 {x}^{2} - 28xw - 15xw + 21 {w}^{2} \\ = 20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Divide the profit by the percentage:

98 / 0.0425 = 2305.88

The cost was $2,305.88

Answer:

Step-by-step explanation:

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

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:

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:

∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.

The value of angles are,

⇒ ∠1 = 105°

⇒ ∠2 = 75°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Now, We get;

∠2 = 75°

Because of alternate interior angles.

And, Since ∠1 and ∠2 form a linear pair,

Hence,  they are also supplementary which means that;

⇒ ∠1 = 180 - ∠2

⇒ ∠1 = 180 - 75

⇒ ∠1 = 105°

Thus, The value of angles are,

⇒ ∠1 = 105°

⇒ ∠2 = 75°

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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:

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]

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:

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 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.

Answer:

  -1.9

Step-by-step explanation:

The opposite of the opposite is the original number, -1.9.

It is located at -1.9 on the number line.

Answer:

a

Step-by-step explanation:

Answer:

  [tex]\dfrac{6^2-3^2}{2}=\dfrac{27}{2}[/tex]

Step-by-step explanation:

You can go to the trouble to integrate y = x from 3 to 6, or you can figure the area geometrically.

  [tex]\displaystyle\int_3^6{x}\,dx=\left.\dfrac{x^2}{2}\right|_3^6=\dfrac{6^2-3^2}{2}\quad\text{using integration}\\\\A=\dfrac{1}{2}(b_1+b_2)h=\dfrac{1}{2}(6+3)(6-3)=\dfrac{6^2-3^2}{2}\quad\text{using geometry}[/tex]

Answer:

√111 lie between 10 and 11

Step-by-step explanation:

In order to calculate betwwen which values does √111 lie we would have to make the following calculation:

If we calculate 10∧2, the result is=100

If we calculate 11∧2 the result is=121

Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11

Therefore, √111 lie between 10 and 11

Answer:

It is increasing and the x-intercept is (1,0) so F and E

Step-by-step explanation:

A P E X

The true statements are F and E

The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

We need to graph the log function. F(x) = log6x

Domain: x>0 All real number greater than 0.

Range: All real number.

y-intercept: Put x=0 and solve for y. (Does not exist)

y-intercept: Put y=0 and solve for x. (1,0)

Log function is increasing function.

F is true. (It is increasing)

D is False. (Because Range is all real number)

E is true. (x-intercept (1,0))

A is false. (It is decreasing.)

B is false. (The y-intercept is (0, 6))

C is false. (Domain is x>0)

Hence, F and E are true.

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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 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:d

Step-by-step explanation:

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:

n = 32

Step-by-step explanation:

an = a1 + (n - 1)d

a4 = a1 + 3d = 16

a8 = a1 + 7d = 32

7d - 3d = 32 - 16

4d = 16

d = 4

a4 = a1 + 3d = 16

a1 + 3(4) = 16

a1 + 12 = 16

a1 = 4

an = 4 + (n - 1)4 = 128

4 + 4n - 4 = 128

4n = 128

n = 32

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.

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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: 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.  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.