If y is 19 times x, which equation shows the relationship between x and 7?

A. X = 19y

B. Y = 19x

C. Y = 19 + x

D. X = 19 + y

Answers

Answer 1

Answer:

b. y=19x

Step-by-step explanation:


Related Questions

2222222 help me plz plz plz plz

Answers

Answer:

○ B) m∠XOA = m∠OYC

Step-by-step explanation:

Since Point O is circumcentered into the square, we keep it in the midst when we are making comparisons, and since this was simple to identify, this automatically is a false statement. Point O stays in the midst at all times.

- Hope this helps!

"






Perform the following test of hypothesis. H0: μ 10.70, H1: μ # 10.70, n = 47, t = 12.234, = H0 is
"

Answers

Based on the given information, we have sufficient evidence to conclude that the population mean (μ) is not equal to 10.70.

To perform the test of hypothesis, we can use a t-test to determine whether there is sufficient evidence to reject the null hypothesis (H0) in favor of the alternative hypothesis (H1).

The given hypotheses are:

H0: μ = 10.70 (null hypothesis)

H1: μ ≠ 10.70 (alternative hypothesis)

The sample size is n = 47, and the test statistic is t = 12.234.

To conduct the test, we need to compare the calculated test statistic to the critical value(s) based on the desired significance level (α).

The steps to perform the hypothesis test are as follows:

Step 1: Set the significance level (α)

Let's assume a significance level of α = 0.05. This means we want to be 95% confident in our decision.

Step 2: Determine the critical value(s)

Since the alternative hypothesis is two-sided (μ ≠ 10.70), we need to find the critical values for a two-tailed t-test.

Since n = 47, we have n - 1 = 46 degrees of freedom (df). Looking up the critical values in the t-distribution table or using a statistical calculator, the critical values for a two-tailed test with α = 0.05 and df = 46 are approximately ±2.013.

Step 3: Calculate the p-value

The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 12.234), assuming the null hypothesis is true.

Using a t-table or statistical software, we can determine the p-value associated with the given t-value and degrees of freedom. The p-value turns out to be very small (p < 0.001).

Step 4: Make a decision

If the p-value is less than the significance level (α), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Since the p-value is smaller than α (p < 0.001), we reject the null hypothesis (H0).

Learn more about hypothesis here:

https://brainly.com/question/29576929

#SPJ11

Help there are five people at the carnival they are 15 people at the other carnival how many people are there

Answers

I think there are 20 people

Please help! if do you will get 'Brainliest' (Right answers only, and please show your work)

Answers

Answer:

The answer should be B

[tex]3c \: + \: 43 \: \geqslant \: 100[/tex]

please please I really need help this depends on my life​

Answers

Answer:

39.4 divided by (-7.2)= -5.472

6.7-39.31=-32.61

Step-by-step explanation:

The diameter of a circle is 4 feet. What is the circumference?
d=4 ft
Give the exact answer in simplest form.

I need the answers

Answers

Answer: 4π

Step-by-step explanation: C= 2πr; 2r=d; C=dπ; C=4π!

Answer:

4π  ft

Step-by-step explanation:

C = 2πr  (Circumference formula for a circle)

diamater = 4, so  diamter = 2 x radius,  4 = 2 x r , so r = 2

Use formula:

C = 2π(2) = 4π

4π ft (Exact answer)

24 Hour Fitness charges svara spatee plus so per months to poun thensyn time has podszes por s gym membership so farHow many monohis has he been a member at 24 Hour Fitness monks​

Answers

Answer:

4 months

Step-by-step explanation:

Equation:

y = 55 + 30x

y = gym membership

x = per month

Work:

y = 55 + 30x

175 = 55 + 30x

30x = 175 - 55

30x = 120

x = 4

4 months

1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000

Answers

The answer is a. 6000
Your answer would be A

Because the number before the 5 in the thousands place is equal to or greater than 5. Making it round up.


Is x = 5 a solution to the equation 19 - x = 14?

Answers

Answer:

Yes

Step-by-step explanation:

Test the equation by substituting 5 in for x:

19- 5 =14

14=14

TRUE

If I helped, a brainliest would be greatly appreciated!

Answer: If you replace x with 5 then 19-5=14

Step-by-step explanation:


The circle graph shows how William spends his day on average. If he sticks
to this schedule, how many hours will William spend sleeping over the
course of a week (7 days)? ()
17% 11%
10%
А
A) 75.6 hours
B) 78.2 hours
C) 814 hours
Watching TV
Video Games
Fating
Working
45 %Sleeping
27%
D) 848 hours

Answers

Answer:

d

Step-by-step explanation:

i did the math

IQ is normally distributed with a mean of 100 and a standard deviation of 15. When selecting samples of size n = 16, find the probability a randomly selected sample has a mean greater than 105. 0.0981 0.0936 O None of these 0.0973 0.0912

Answers

Given that IQ is normally distributed with a mean of 100 and a standard deviation of 15 and the sample size, n=16

We need to find the probability that a randomly selected sample has a mean greater than 105.

The z-score is given by;[tex]z = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\[/tex]

The sample mean of size n=16 is [tex]\bar{x}=105[/tex], the population mean is [tex]\mu=100[/tex] and the standard deviation is [tex]\sigma=15[/tex]. Now we need to find the probability that the z-score is greater than z. Since the sample size is greater than 30, we can use the z-distribution to approximate the standard normal distribution. Since the sample size is n=16 which is less than 30, we cannot use the z-distribution to approximate the standard normal distribution. Instead, we use the t-distribution, which is a set of distributions that are similar to the standard normal distribution but are dependent on the sample size. The formula for the t-score is given by;

[tex]t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\[/tex]Where [tex]s[/tex] is the sample standard deviation. Since the population standard deviation is unknown, we use the sample standard deviation instead.

The sample mean of size n=16 is [tex]\bar{x}=105[/tex],

the population mean is [tex]\mu=100[/tex],

the sample standard deviation is [tex]s=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{16}}=3.75[/tex].

The t-score is given by[tex]t=\frac{105-100}{\frac{3.75}{\sqrt{16}}}=4.267\[/tex]

The degrees of freedom is given by n-1 = 16-1 = 15. Using the t-table with 15 degrees of freedom and a two-tailed test at the 0.05 level of significance, the critical value is 2.131. Since the t-score is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the sample mean is greater than the population mean. The p-value is the area under the curve to the right of the t-score. We find the p-value using the t-table. The p-value is 0.0002. Hence, the probability that a randomly selected sample has a mean greater than 105 is 0.0002 (or 0.02%). Therefore, the option with the correct answer is 0.0002.

To know more about standard deviation refer to:

https://brainly.com/question/475676

#SPJ11

pls help i’m so confused omg!!

Answers

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!

       

write the equation of a function whose parent function, f(x) = x 8, is shifted 2 units to the right.

Answers

To find the equation of a function whose parent function, f(x) = x^8, is shifted 2 units to the right, we can use the formula given below: g(x) = f(x - a) + bwhere f(x) is the parent function, a is the horizontal shift (positive for right and negative for left), b is the vertical shift (positive for up and negative for down), and g(x) is the new function.So, in this case, we need to shift the parent function f(x) = x^8 two units to the right.

This means that a = 2 and b = 0 (since there is no vertical shift).So, substituting these values in the formula, we get:g(x) = f(x - 2) + 0g(x) = (x - 2)^8Thus, the equation of the new function, g(x), is (x - 2)^8 when the parent function, f(x) = x^8, is shifted 2 units to the right.

To shift the parent function f(x) = x^8 two units to the right, we need to modify the equation by replacing 'x' with 'x - 2'. This will shift the graph horizontally to the right by 2 units.

Therefore, the equation of the shifted function, let's call it g(x), becomes:

g(x) = (x - 2)^8

To shift the parent function, f(x) = x^8, two units to the right, we can use the transformation equation:

g(x) = f(x - h)

where h represents the horizontal shift. In this case, h = 2 because we want to shift the function two units to the right. Substituting the values into the equation, we get:

g(x) = (x - 2)^8

Therefore, the equation of the function after shifting the parent function, f(x) = x^8, two units to the right is g(x) = (x - 2)^8.

To know more about horizontal shift visit:

https://brainly.com/question/30285734

#SPJ11

The given parent function is f(x) = x 8. We are supposed to write the equation of a function that is shifted two units to the right. It can be done by taking a new function g(x) and writing it as g(x) = f(x − 2).

Therefore, the equation of the new function g(x) is g(x) = (x − 2)8.

Step-by-step explanation: The given parent function is f(x) = x 8. We are supposed to write the equation of a function that is shifted two units to the right. It can be done by taking a new function g(x) and writing it as g(x) = f(x − 2).

The value of f(x) = x 8

Write it as follows:

when x is 0, 0 8 = 0 and

when x is 1, 1 8 = 8.

Now, we can write the equation for g(x) by using f(x) = x 8.

We have g(x) = f(x − 2)

= (x − 2)8.

Therefore, the equation of the new function g(x) is g(x) = (x − 2)8.

To know more about equation visit

https://brainly.com/question/29538993

#SPJ11

Solve for n. 2n+3/4n = 3/4

Answers

Answer: n=3/11

Step-by-step explanation:

1. You want to simplify both sides of the equation.

2n+3/4n=3/4.

(2n+3/4n)=3/4 (combine like terms).

11/4n=3/4.

2. Multiply both sides using 4/11.

(4/11)x(11/4n)=(4/11)x(3/4)

3. You get your answer which is n=3/11.

Hoped I help :)

The center and a point on a circle are given. Find the circumference to the nearest tenth.

center:(−15, −21);
point on the circle: (0, −13)

The circumference is about ?

Answers

Answer:

Circumference ~ 106.8

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 17. Plug 17 into the formula 2(pi)r to find the Circumference. The answer is 106.8 rounded to the nearest tenth.

Picking a purple marble from a jar with 3 green and 3 purple marbles. What is the probability of picking a purple marble?

Answers

Answer:

1/2

Step-by-step explanation:

The total number of marbles in the jar is equal to 6

Since we have 3 purple marbles and 3 green marbles,

The probability of picking a purple marble =

Number of purple marbles in the jar / total number of marbles

= 3/6

= 1/2

From this calculation the probability of picking a purple marble is 1/2 or 0.5

What's the equation to use to solve x?

Answers

Total Speed = total distance/total time
= 290/2
= 145km/hr
145-15=x
= 130km/hr

Tony borrows $7,000 from a friend
at a rate of 5% interest for 4 months.
What is the total that needs
to be repaid after this time
to the nearest dollar?

Answers

Answer:

5%100 ×R200

Step-by-step explanation:

Address and u the one for me please

hejekekkske
sksksksk
sneak

Question Progress
boel
21/40 Marks
Find the area of this parallelogram.
13 cm
15 cm
20 cm

Answers

I think the area of the parallelogram is 260 cm squared. You multiply the 13 by the 20 to get 260. You don’t use the 15 because it is at an angle and you can’t get a proper height using it.

7 + k = 11 step explanation

Answers

Answer:

k = 4

Step-by-step explanation:

11 - 7 = 4

what is the first 5 cubic numbers​

Answers

Answer:

1,8,27,64,125

Step-by-step explanation:

1, 6 8 27 64 125 is the answer

Let W be the set of all vectors of the form shown on the right, where a and b represent arbitrary real numbers. Find a set S of vectors that spans W, or give an example or an explanation showing why W is not a vector space.

Answers

To determine whether the set W is a vector space, we need to check if it satisfies the properties of a vector space. In this case, W represents the set of all vectors of the form:

W = {(a, b, -2a + 3b) | a, b ∈ ℝ}

To show that W is a vector space, we need to demonstrate that it is closed under vector addition and scalar multiplication, and that it contains the zero vector. Let's verify each of these properties.

Closure under vector addition:

Consider two arbitrary vectors in W, (a₁, b₁, -2a₁ + 3b₁) and (a₂, b₂, -2a₂ + 3b₂). Their sum is given by:

(a₁, b₁, -2a₁ + 3b₁) + (a₂, b₂, -2a₂ + 3b₂) = (a₁ + a₂, b₁ + b₂, -2(a₁ + a₂) + 3(b₁ + b₂))

We can rewrite the last expression as:

(a₁ + a₂, b₁ + b₂, -2a₁ - 2a₂ + 3b₁ + 3b₂) = (a₁ + a₂, b₁ + b₂, -2(a₁ + a₂) + 3(b₁ + b₂))

This shows that the sum of two arbitrary vectors in W is also in W. Therefore, W is closed under vector addition.

Closure under scalar multiplication:

Consider an arbitrary vector in W, (a, b, -2a + 3b), and a scalar c ∈ ℝ. The scalar multiple of this vector is given by:

c(a, b, -2a + 3b) = (ca, cb, c(-2a + 3b)) = (ca, cb, -2ca + 3cb)

This expression can be rewritten as:

(ca, cb, -2(ca) + 3(cb))

Thus, the scalar multiple of an arbitrary vector in W is also in W. Therefore, W is closed under scalar multiplication.

Contains the zero vector:

To check if W contains the zero vector, we need to find values of a and b that make the expression (-2a + 3b) equal to zero. If we set a = 0 and b = 0, then (-2a + 3b) = (-2(0) + 3(0)) = 0. Thus, the zero vector (0, 0, 0) is in W.

Since W satisfies all the properties of a vector space, we can conclude that W is indeed a vector space.

To find a set S that spans W, we can choose two arbitrary vectors that are linearly independent. One possible set is:

S = {(1, 0, -2), (0, 1, 3)}

These vectors can be expressed in the form of W:

(1, 0, -2) = (a, b, -2a + 3b) when a = 1 and b = 0

(0, 1, 3) = (a, b, -2a + 3b) when a = 0 and b = 1

Any vector in W can be represented as a linear combination of these two vectors, which demonstrates that S spans W.

To learn more about vector space visit:

brainly.com/question/32236186

#SPJ11

Someone please help me.

Answers

Answer:

with what life

Step-by-step explanation:

Using mirrors installed on the moon by Apollo astronauts to reflect laser waveforms, its possible to measure the distance from earth to moon to high precision. Due to the physics of the detectors, the measurement errors have a uniform distribution of -3.0 to + 5.0 cm

a. What is the probability that a particle measurement will be accurate to within +- 1.0 cm?

b. Find the mean of the measurement errors

c. Find the standard deviation of the measurement errors

Answers

A.the probability that a particle measurement will be accurate to within +- 1.0 cm is  0.25 B. the mean of the measurement errors is 1 cm. C.  the standard deviation of the measurement errors is 2.311 cm.

a. For a uniform distribution of -3.0 to + 5.0 cm, the total distance is 5.0 - (-3.0) = 8.0 cm.

The probability that a particle measurement will be accurate to within +- 1.0 cm is given by:

P(-1.0 ≤ X ≤ 1.0) = (1/(8.0)) * (1.0 - (-1.0))= (1/8.0) * 2= 0.25

b. Find the mean of the measurement errors

The formula to calculate the mean (μ) of the measurement errors is:μ = (a + b) / 2

where, a is the lower limit of the distribution, and b is the upper limit of the distribution.μ = (-3.0 + 5.0) / 2= 2 / 2= 1

Therefore, the mean of the measurement errors is 1 cm.

c. Find the standard deviation of the measurement errors

The formula to calculate the standard deviation (σ) of a uniform distribution is:σ = (b - a) / √12

where, a is the lower limit of the distribution, b is the upper limit of the distribution, and √12 is the square root of 12.σ = (5.0 - (-3.0)) / √12= 8 / 3.464= 2.311

Therefore, the standard deviation of the measurement errors is 2.311 cm.

Know more about  probability here,

https://brainly.com/question/31828911

#SPJ11

PLEASE HELP PLEASE

Write a clear explanation summarizing what you have learned about defining expressions that have zero or a negative integer as an exponent. Then explain, using examples, why these definitions makes sense. Give as many reasons as you can. Also indicate which exclamation makes the most sense to you.

Answers

Answer:

Any number raised to zero is one.

Examples:

[tex]4^{0} = 1\\\\178^0=1\\\\15^0 = 1[/tex]

Any number raised to a negative integer is 1 over that exponential term without the negative exponent.

Examples:

[tex]5^{-1} = \frac{1}{5}\\\\324^{-13}=\frac{1}{324^{13}}\\\\17^{-6} = \frac{1}{17^{6}}[/tex]

For a hypothesis test using the single-factor ANOVA formula:

The obtained overall F ratio = MS between treatments divided by MS within treatments.

Calculate the obtained overall F ratio for: MS between treatments= 8 and MS within treatments = 2.

Then describe the null hypothesis decision for = .05, df numerator: 3, and df denominator: 4.

Reject of fail to reject null hypothesis?

Answers

We can conclude that there is not enough evidence to suggest that the means of the different groups are different.

The obtained overall F ratio for MS between treatments = 8 and MS within treatments = 2 can be calculated using the formula for a hypothesis test using the single-factor ANOVA. The formula is given below: Obtained overall F ratio = MS between treatments/MS within treatments Substituting the values in the above formula, we get, Obtained overall F ratio = 8/2 = 4

The obtained overall F ratio for MS between treatments = 8 and MS within treatments = 2 is 4.Now, let's describe the null hypothesis decision for α = .05, df numerator: 3, and df denominator: 4.The null hypothesis decision can be made using the F-distribution table. Using the table, the critical value of F is 9.49.

Therefore, if the obtained overall F ratio is greater than 9.49, then we reject the null hypothesis. If the obtained overall F ratio is less than or equal to 9.49, then we fail to reject the null hypothesis.Obtained overall F ratio = 4 is less than the critical value of F, i.e., 9.49.Therefore, the null hypothesis is not rejected at α = .05, df numerator: 3, and df denominator: 4.

To know more about critical value visit:

https://brainly.com/question/32607910

#SPJ11

The obtained overall F ratio for MS between treatments = 8 and MS within treatments = 2 will be 4. The null hypothesis decision for α = 0.05, df numerator: 3, and df denominator: 4 is Fail to reject null hypothesis.

Explanation: ANOVA (analysis of variance) is a statistical method used to determine if two or more population means are equal.

It is used to analyze the variation between sample group means and is frequently used in hypothesis testing.

Therefore, we will now calculate the obtained overall F ratio for the given values.

The obtained overall F ratio formula is: Overall F Ratio = MS between treatments / MS within treatments.

Given, MS between treatments = 8 and MS within treatments = 2.

Therefore, Overall F Ratio = MS between treatments / MS within treatments

= 8/2

= 4

Hence, the obtained overall F ratio for MS between treatments= 8 and MS within treatments = 2 is 4.

The null hypothesis decision for α = 0.05, df numerator: 3, and df denominator: 4 is Fail to reject null hypothesis.

The test statistic value, F, is 3.71. The p-value is greater than 0.05. Therefore, we fail to reject the null hypothesis.

To know more about null hypothesis, visit:

https://brainly.com/question/30821298

#SPJ11

Help me please with the answer

tell me how to answer this

Answers

The mid point of the line segment is (-2, 5 / 2).

How to find the mid point of a line segment?

The midpoint of a line segment is a point that lies exactly halfway between two points.

Therefore, let's find the mid point of the line segment indicated above.

Hence, using (-4, 0) and (0, 5)

Hence,

mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Therefore,

mid point = (0 - 4 / 2, 5 + 0 / 2)

mid point = (-4  /2, 5 / 2)

mid point = (-2, 5 / 2)

learn more on mid point here: https://brainly.com/question/22241594

#SPJ1

Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
a.$10.24
b.$1.56
c.$0.64
d.$6.04

Answers

The cost of sugar per pound can be found by dividing the total cost of sugar by the number of pounds purchased. In this case, the correct option is C).

To calculate the cost of sugar per pound, we divide the total cost by the number of pounds purchased. In this case, Jamie bought 4 pounds of sugar for $2.56. Therefore, the cost per pound is given by:

Cost per pound = Total cost / Number of pounds

Cost per pound = $2.56 / 4 pounds

Simplifying this calculation, we find:

Cost per pound = $0.64

Hence, the cost of sugar per pound is $0.64, which corresponds to option c. $0.64 in the given choices. This means that Jamie paid $0.64 for each pound of sugar purchased.

Learn more about Simplifying here:

https://brainly.com/question/17579585

#SPJ11

Please help.

a+67a+3ab-2ab-1=​

Answers

Answer:

68a+ab-1

Step-by-step explanation:

Have a good day!

Minh wants to buy a car costing $9,950. She can put $1,000 down and finance the rest at 10.9% APR, making the monthly payments for 3 years. How will Minh pay in finance charges? What will her monthly payments be?

Answers

Answer:

piip;[-p-o-ul0i

Step-by-step explanation:

Other Questions
what do the police discover from mr. owens agent, isaac morris? 4. Installation Troubleshooting at North Jetty ManufacturingNorth Jetty Manufacturing makes windows and doors for local building contractors. Several of North Jettys workers have received new PCs in recent weeks, and they need your advice about how to deal with the problems described below:1. Jose Fonseca, production schedulerThe desk space for Joes workstation is very limited.2. Ralph Emerson, accounting specialistBecause of carpeting, static electricity is a problem in the office area where Ralphs PC was installed.3. Anna Liu, marketing database coordinatorAnna has experienced problems with eyestrain, headaches, back strain, and sore wrists.4. Alyssa Platt, employee benefits coordinatorAlyssa has to squint at the display screen late in the afternoon because the windows in her office face west and the sun shines in.5. Mary Pat Schaeffer, WebmasterMary Pat would like to minimize the number of power switches required to turn on her PC and peripherals (system unit, display screen, printer, and scanner).6. Lou Campanelli, shipping and receivingLous system is installed in an unusually dusty shop environment.Write a memo to Candace Van Camp, CEO at North Jetty Manufacturing, that recommends how you would deal with each of these specific problem areas. Given the figure below, find the values of x and z. If y varies directly with x, and y= 4/5 when x= 5:Find the variation constant, k what is the role of microtubules in mitosis? select all that apply. what is the role of microtubules in mitosis?select all that apply. microtubules condense the chromosomes. microtubules replicate the chromosomes. microtubules bind to individual chromosomes. microtubules form the mitotic spindle. microtubules shorten, dividing the chromosomes. To record the COGM in the accounts of a manufacturer on completion, which is the correct journal entry? Select one: O a. CR Finished Goods DR Work in Progress O b. DR Finished Goods CR Work in Progress OC. DR WIP CR Raw Materials O d. DR COGS CR Finished Goods Fin What are three consequences of healthcare workers can face if they dont follow quality control and quality assurance? (phlebotomy) find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. a(3, 4, 1), b(0, 6, 2), c(3, 5, 6) There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?plzzzz answer Had you been public directions director for NBC, what would you have advised relative to airing Ronan Farrow's story on Weinstein? I need help fast and for real no bots For practice, the molecular formula for ascorbic acid is C6H8O6, and you used 6 g in this experiment, calculate the molarity of the ascorbic acid. Now calculate the concentration in moles per drop (assume 1 mL = 20 drops).I do not want the answer. I want to know how to get the answer please. Just explain to me how to figure this out. The following Information is available on Bruder Inc.'s Product A: Number of units sold each year Selling price per unit Unit product cost Investment in Product A Required return on investment 23,000 $ 70 $ 40 $530,000 11% The company uses the absorption costing approach to cost-plus pricing described in the text. Based on these data, the total selling and administrative expenses each year are: (Round your intermediate calculations to 2 decimal places.) Multiple Choice O $690,000 $631,700 $283,000 $390,000 PLSS HELP IMMEDIATELY!!! ill give brainiest if u dont leave a link! The scatter plot shows the relationship between the test scores of a group of students and the number of hours they exercise in a week:On a grid, Label Hours of Exercise on x axis and Test Scores on y axis. The title of the graph is Test Scores and Exercise. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 12 and 1, 30 and 2.1, 21 and 2.5, 42 and 3.5, 30 and 3.5, 45 and 4, 55 and 5, 45 and 5.5, 60 and 5.5, 70 and 6.5, 40 and 7, 50 and 7.5, 80 and 8, 75, and 8.5, 60 and 9, 75. The ordered pair 9, 15 is circled and labeled as T. All the other points are put in an oval and labeled as P.Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T. (5 points)Part B: Describe the association between students' test scores and the number of hours they exercise. (5 points) Write an equation of the line perpendicular to the given line that contains P. Use GCF and the distributive property to write equivalentexpressions.A) 6x + 9yB)3c +11c What conditions in the Roaring '20s marked the end of the Progressive Era?A. Shrinking income disparities and growing economic equalityB. Civil rights reforms ending segregation and discriminationC. Reduction in business taxes and government spendingD. Legislative successes that rendered unions obsolete An investment has an initial capital outlay of $100 million and expects $175 million in 7 years. Which of the following is correct? The investment is not acceptable. Its internal rate of return is 8.32%. The investment is acceptable. Its internal rate of return is 10.53%. Given the following utility function:X: -100 -90 -80 -65 -50 -35 -20 0 20 45 70 110 150U (X): 0 3 4.5 6 7 8 9 10 11 12 13 14 15(a) Calculate the probabilities p1 and p2 such that 45 is indifferent to the lotteries: (20, p1; 150, 1 p1) and (20, p2; 110, 1 p2)(b) Calculate the selling price and risk premiums of the lotteries: (90, 0.5; 20, 0.5) and (100, 0.2; 50, 0.3; 20, 0.4; 70, 0.1).(c) Calculate the buying price for the following lottery (150, 0.4; 45, 0.6).