Factor the expression below. A. (x + 5)(x + 5) B. (x - 5)(x + 5) C. 5(x2 - x + 5) D. (x - 5)(x - 5)

Answers

Answer 1

Answer:

A. x² +10x +25

B. x² - 25

C. 5x² -5x + 25

D. x²- 10x + 25

Step-by-step explanation:

A. (x+5)(x+5)

x² + 5x + 5x + 25

x² +10x + 25

B. (x-5)(x+5)

x² + 5x - 5x - 25

x² -25

C. 5(x² -x +5)

5x² -5x + 25

D. (x-5)(x-5)

x² - 5x -5x + 25

x²- 10x + 25


Related Questions

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

pt B: (-1, -8)

Step-by-step explanation:

(x - 7)/2 = -4

x - 7 = -8

x = -1

(y-6)/2 = -7

y - 6 = -14

y = -8

this is the question I meant to send

Answers

Answer:

30%

Step-by-step explanation:

Look at the sample space below.
{1, 2, 3, 7, 9, 10, 15, 19, 20, 21}
When chosen randomly, what is the probability of picking an odd number?
Plodd number) =
1
21

3
10

7.
10

Answers

Answer:

There are 10 odd numbers: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} There are 4 factors of 8: {1, 2, 4, 8} There is 1 number in both lists: {1} Probability of an odd or a factor of 8 = (10 + 4 - 1)/20 = 13/20

36kg in the ratio 1:3:5​

Answers

the answer are 4kg ,12kg and 20 kg

what is the value of the algebraic expression if x = , y = -1, and z = 2? 6x(y 2 z)

Answers

The value of the expression 6x(y^2 - z) when x = 0, y = -1, and z = 2 is 0.

To find the value of the algebraic expression 6x(y^2 - z) when x = 0, y = -1, and z = 2, we substitute the given values into the expression.

First, let's evaluate the inner expression (y^2 - z):

Substituting y = -1 and z = 2, we have (-1)^2 - 2 = 1 - 2 = -1.

Now, we substitute x = 0 and the result of the inner expression (-1) into the outer expression:

6x(y^2 - z) = 6(0)(-1) = 0.

Therefore, when x = 0, y = -1, and z = 2, the value of the expression 6x(y^2 - z) is 0.

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hi can someone help me with this

Answers

Answer:

86 degrees

Step-by-step explanation:

180 - (74 + 20) = 86

Nike reported total revenues of $44.5 billion for the year ending in May 31, 2021. What percentage of this amount relates to sales of footwear? (Enter your answer as a percentage without the % symbol, e.g., if your answer is 35%, enter 35) 2.How much cash did Nike collect from customers in the year ending May 31, 2021? The balance sheet shows that accounts receivable increased by $1,714 during the year, but some of that amount relates to mergers and acquisitions rather than additional credit sales. You will get the right amount of increased receivables from additional credit sales during the year by looking at the operating section of the statement of cash flows. (Enter your answer in $ millions)

Answers

Nike reported total revenues of $44.5 billion for the year ending in May 31, 2021. Footwear accounted for 66% of Nike's total revenues in 2021, the percentage of Nike's total revenues that relates to sales of footwear is 66%.

How to explain the information

The balance sheet shows that accounts receivable increased by $1,714 during the year, but some of that amount relates to mergers and acquisitions rather than additional credit sales. You will get the right amount of increased receivables from additional credit sales during the year by looking at the operating section of the statement of cash flows.

The operating section of the statement of cash flows shows that Nike collected $42.8 billion from customers in the year ending May 31, 2021. This is the amount of cash that Nike received from customers for the sales of its products and services.

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A placement exam has a measure of x=500 and a standard deviation of s=100. If a student obtained the standard value z= 1.8, then the exam grade is: a. 400 b. 640 c.320 d.680
deviation of the children's ages is: a. 1.27 b. 1.62 c. 2:25 a.m. 1.97 dad Frecuencia xf Jeg gon.no 7 12 10 8 5 42 84 80 72 50 252 588 640 648 500

Answers

If a student obtained the standard value z= 1.8, then the exam grade is 680.

Given, a placement exam has a measure of x = 500 and a standard deviation of s = 100, and a student obtained the standard value z = 1.8, and we are to find the exam grade.

In order to find the exam grade, we can use the formula, z = (x - μ) / σ where x is the score, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get1.8 = (x - 500) / 100

Multiplying both sides by 100, we get180 = x - 500

Adding 500 to both sides, we get680 = x

Therefore, the exam grade is 680.So, the correct option is d. 680.

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let x have an exponential probability density function with β=500. compute pr[x>500]. compute the conditional probability pr[x>1000 | x>500].

Answers

the conditional probability pr[x>1000 | x>500] is P(x > 500) = 1 - CDF(500).

 

Given that x has an exponential likelihood thickness work with β = 500, we are able to compute the likelihood that x is more noteworthy than 500, i.e., P(x > 500).

For an exponential conveyance with parameter β, the likelihood thickness work (PDF) is given by:

f(x) = (1/β) * e^(-x/β), where x ≥ 0.

To discover P(x > 500), we got to coordinate the PDF from 500 to limitlessness:

P(x > 500) = ∫[500, ∞] (1/β) * e^(-x/β) dx.

Let's calculate this likelihood:

P(x > 500) = ∫[500, ∞] (1/500) * e^(-x/500) dx.

To calculate this indispensably, ready to utilize the truth that the necessity of the PDF over its whole extent is rise to 1. So, ready to revamp the likelihood as:

P(x > 500) = 1 - P(x ≤ 500).

Since the exponential conveyance is memoryless, P(x ≤ 500) is break even with the total conveyance work (CDF) at 500.

P(x > 500) = 1 - CDF(500).

The CDF of the exponential dissemination is given by:

CDF(x) = ∫[0, x] (1/β) * e^(-t/β) dt.

To calculate P(x > 500), we have to assess CDF(500) and subtract it from 1.

Presently, let's calculate P(x > 500):

P(x > 500) = 1 - CDF(500)

= 1 - ∫[0, 500] (1/500) * e^(-t/500) dt.

To calculate the conditional probability P(x > 1000 | x > 500), we have to consider the occasion that x > 500 is our modern test space. The conditional probability is at that point given by:

P(x > 1000 | x > 500) = P(x > 1000, x > 500) / P(x > 500).

Since x takes after an exponential conveyance, it is memoryless, which implies the likelihood of x > 1000 given x > 500 is the same as the likelihood of x > 500. Hence, we have:

P(x > 1000 | x > 500) = P(x > 500) = 1 - CDF(500).

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Help and an explanation would be greatly appreciated.​

Answers

Answer:

the answer is D

hope it help

Answer: D, x²-6x+9

Step-by-step explanation:

(x-3)² is the same as (x-3)(x-3).

So you would do:

x times x=x²

x times -3=-3x

-3 times x=-3x

-3 times -3=9

The equation would look like this:

x²-3x-3x+9

Then you would have to collect the like terms. Like terms are terms that have the same variables and powers. So it would look like this:

x²-6x+9

Hope this helps :)

Help? I don’t understand this math

Answers

Answer:

Option J:

[tex] {x}^{3} {y}^{3} [/tex]

Step-by-step explanation:

Given,

Width of the rectangular prism

= x

Length of the rectangular prism

[tex] = {x}^{2} y[/tex]

Height of the rectangular prism

[tex] = {y}^{2} [/tex]

Therefore,

Volume of the rectangular prism

= Width × Length × Height

[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]

[tex] = {x}^{3} {y}^{3} [/tex]

Hence,

The required volume of the rectangular prism is

Option J:

[tex] {x}^{3} {y}^{3} [/tex]

the answer should be A

HELP PLEASE I WILL GIVE THE BRAINLIEST ANSWER Parking meter that is 1.6 m tall cast a shadow 3.6 m long at the same time a tree cast a shadow 9 m long

Answers

Answer:

I am not able to answer your question because I am unsure of what to solve for. :/

Step-by-step explanation:

the starting salaries of college instructors have a sd of $ 2000. how large a sample is needed if we wish to be 96% confident that our mean will be within $500 of the true mean salary of college instructors? round your answer to the next whole number.

Answers

Given:Standard deviation, s = $2000Confidence level = 96%Margin of error, E = $500We have to find the sample size, n.

Sample size formula is given as:\[n={\left(\frac{z\text{/}2\times s}  {E}\right)}^{2}\]Where, z/2 is the z-score at a 96% confidence level. Using the standard normal table, we can get the value of z/2 as follows:z/2 = 1.750Incorporating all the values in the formula, we get:\[n={\left(\frac{1.750\times 2000}{500}\right)}^{2}\] Simplifying,\[n=21\]Therefore, a sample size of 21 is required if we wish to be 96% confident that our mean will be within $500 of the true mean salary of college instructors.

To determine the sample size needed to be 96% confident that the mean salary will be within $500 of the true mean salary, we can use the formula for sample size in a confidence interval.

The formula is:

n = (Z * σ / E)^2

Where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (in this case, 96% confidence level)

σ is the standard deviation of the population (given as $2000)

E is the maximum error tolerance (given as $500)

First, we need to find the z-score corresponding to a 96% confidence level. The remaining 4% is split evenly between the two tails of the distribution, so we look up the z-score that corresponds to the upper tail of 2% (100% - 96% = 4% divided by 2).

Using a standard normal distribution table or a calculator, the z-score for a 2% upper tail is approximately 2.05.

Now we can substitute the values into the formula:

n = (Z * σ / E)^2

n = (2.05 * 2000 / 500)^2

Calculating this expression:

n = (4100 / 500)^2

n = 8.2^2

n = 67.24

Rounding up to the next whole number, the required sample size is approximately 68.

Therefore, a sample size of 68 is needed to be 96% confident that the mean salary will be within $500 of the true mean salary of college instructors.

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Given information: The starting salaries of college instructors have a standard deviation (SD) of $2000. The sample size that is needed if we want to be 96% confident that our mean will be within $500 of the true mean salary of college instructors is to be calculated.

Hence, 49 is the sample size that is needed if we want to be 96% confident that our mean will be within $500 of the true mean salary of college instructors.

The formula for the sample size required is as follows:

[tex]n = [(Z \times \sigma) / E]^{2}[/tex]

Here, Z is the value from the normal distribution for a given confidence level, σ is population standard deviation, E is the maximum error or the margin of error, which is [tex]\$500n = [(Z \times \sigma) / E]^2[/tex]

On substituting the given values, we get:

[tex]n = [(Z \times \sigma) / E]^2[/tex]

[tex]n= [(Z \times \$2000) / \$500]^2[/tex]

[tex]n = [(1.7507 \times \$2000) / \$500]^2[/tex]

[tex]n = (7.003 \times 7.003)[/tex]

n = 49 (rounded off to the next whole number)

Hence, 49 is the sample size that is needed if we want to be 96% confident that our mean will be within $500 of the true mean salary of college instructors.

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Student grades on a recent science test follow; 78, 81, 89, 75, 76, 91, 10963,
80, 87, 91, 95. Find the MEAN (average) to the nearest tenth.

• 76.9
• 83.0
• 83.8
• 83.3

Answers

Answer:

b

Step-by-step explanation:

took the test good luck

Answer:

Explained below

Step-by-step explanation:

I shall explain this

Add all the numbers together and divide by the number of numbers

[tex]78 + 81 + 89 + 75 + 76 + 91 + 10963 + 80 + 87 + 91 + 95 = answer \div 11 [/tex]

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

Given \triangle DEF△DEF triangle, D, E, F, find DE


Round your answer to the nearest hundredth.


Answers

Answer:

x ≈ 36.09

Step-by-step explanation:

Complete question

Use △DEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

According to the diagram

m<E = 90 degrees

m<D = 49 degrees

DF = 55 = hypotenuse

DE = x = adjacent

EF = opposite

According to SOH CAH TOA identity;

Cos theta = adj/hyp

Cos m<D = DE/DF

Cos 49 = x/55

x = 55cos49

x = 55(0.6561)

x = 36.0855

x ≈ 36.09 (to the nearest hundredth)

Answer:

x ≈ 36.09

correct on khan

Step-by-step explanation:

Please help!! I am so confused on how to do this.

Answers

Answer:

its 62!

p-by-step explanation:

Answer:

62.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62

help pleaseeeeeeeeeeeeeeeee

Answers

Answer:

area = 175 cm^2

Step-by-step explanation:

area = base * height

area = 5 cm + 35 cm

area = 175 cm^2

Some unsound arguments are valid. True or False?

Answers

The statement "Some unsound arguments are valid" is false.

The statement "Some unsound arguments are valid" is false.

A valid argument is a statement that follows the rules of logic.

An argument is known to be sound when it is valid and has true premises. When the premises of an argument are correct, the argument is considered sound. When an argument is valid, it follows logically from its premises, which are the statements that provide evidence or support for the argument's conclusion.

The unsound argument is the one that contains at least one false premise.

The sound argument is the one that contains only true premises and is valid (that is, follows logically from the premises).

If an argument is unsound, it can never be valid because it contains at least one false premise.

Therefore, the statement "Some unsound arguments are valid" is false.

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Please help me with the questions

Answers

Answer:

x = 5

x = 2

Step-by-step explanation:

2(2x + 4) = 8x - 12

2x + 4 = 4x - 6

x + 2 = 2x - 3

x = 5

Question 17

8/4 = (x + 2)/(2x - 2)

2(2x - 2) = x + 2

4x - 4 = x + 2

3x = 6

x = 2

A rectangular playground has length of 120 m and width of 6 m. Find its length, in metres, on a drawing of scale 1 : 5

Answers

Answer:

I. Length = 600 meters

II. Width = 30 meters

Step-by-step explanation:

Given the following data;

Length = 120m

Width = 6m

Drawing scale = 1:5

To find the length and width using the given drawing scale;

This ultimately implies that, with this drawing scale, the length and width of the rectangle would increase by a factor of 5 (multiplied by 5) i.e the rectangle is 5 times bigger in real-life than on the diagram.

For the length;

120 * 5 = 600 meters

For the width;

6 * 5 = 30 meters

Therefore, the dimensions of the rectangle using the given drawing scale is 600 meters by 30 meters.

Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answers

Answer:

Step-by-step explanation:

Please hurry lol I’ll give brainliest

Answers

Answer:

this is true but what do we have to do?

Step-by-step explanation:

Answer: x = 35, angle 1 = 85, angle 2 = 70, angle 3 = 25

Step-by-step explanation:

Finding x: 85+2x+x-10=180

3x= 105

x= 35

x-10 = angle 3 due to a property of parallels lines so put x in to get that angle 3 is 25 degrees

angle 2x = 70 degrees

70 + 25+angle 1 = 180

angle 1 = 85

angle 2 = 180-85-25 = 70

what are the zeros of the quadratic function? f(x)=2x2+x-3

Answers

Answer: The zeros of the  quadratic function  are: 5/2+(1/2)*sqrt(31), 5/2-(1/2)*sqrt(31)

                 

Step-by-step explanation:

If f(x) = 3x + 1 and g(x) = x − 3, find the quantity f divided by g of 8.
A. 125
B. 25
C. 20
D. 5

Answers

The quantity f divided by g of 8 is 5, which is answer choice D.

To find f divided by g of 8, we need to plug in x = 8 into both f(x) and g(x), then divide f(8) by g(8).

f(x) = 3x + 1

f(8) = 3(8) + 1

f(8) = 25

g(x) = x - 3

g(8) = 8 - 3

g(8) = 5

Now, we can divide f(8) by g(8) to get:

f(8) / g(8) = 25 / 5

f(8) / g(8) = 5

Alternatively, we can find f divided by g of x generally by first applying the functions to x:

f(x) / g(x) = (3x + 1) / (x - 3)

We can then plug in x = 8 and simplify:

f(8)  g(8) = (3(8) + 1) / (8 - 3)

f(8) / g(8) = 25 / 5

f(8) / g(8) = 5

Regardless of the method we use, we find that f divided by g of 8 is 5.(option-d)

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Mhanifa can you please help me with this? It’s due ASAP! Look at the picture attached. I will mark brainliest!

Answers

Answer:

8) 76°9) 88°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°Exercise 8

Sum of given angles:

2x + 60° + 64° + 36° + 48° = 360°2x + 208° = 360°2x = 360° - 208°2x = 152°x = 76°Exercise 9

Sum of given angles:

x + 90° + 109°+ 73° = 360°x + 272° = 360°x = 360° - 272°x = 88°

Find the equation the line with the given information below:
slope = 3, y-intercept = (0, 2).

Answers

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

b=2

m=3

plug in

y=3x+2

solve for x. help please

Answers

Answer:

x=6

Step-by-step explanation:

[tex]\frac{9}{3} =\frac{6}{2}[/tex]      

A guacamole recipe calls for 28 ounces of peeled and seeded avocadoes. The total cost of the tomatoes is $_____ if the as-purchased unit cost of Avocado's is $1.21 per pound and the yield percentage is 72%.

Answers

The total cost of seeded avocadoes is $1.52 (approx).

Given data:

As-purchased unit cost of avocado = $1.21 per pound

Yield percentage = 72%

Convert the given quantity of avocadoes into pounds.

1 ounce = 1/16 pounds28 ounces = (28/16) pounds= 1.75 pounds

Find out the cost of 1 pound of avocado

As per the given data, the as-purchased unit cost of Avocado's is $1.21 per pound.

Find out the cost of 1.75 pounds of avocado= (1.75 x 1.21) dollars= $2.1175.

Calculate the yield amount.

After calculating the yield percentage, we can find the amount of avocado we can use after we remove the peel and seed.

Yield amount = (yield percentage × amount as purchased)/100Yield amount

= (72 × 1.75) / 100= 1.26 pounds.

Find out the cost of yield amount

Cost of yield amount = (cost of 1.75 pounds of avocado × yield amount)/1.75

Cost of yield amount = ($2.1175 × 1.26) / 1.75

Cost of yield amount = $1.5246

Hence, the total cost of 28 ounces of peeled and seeded avocadoes is $1.52 (approx).

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Use the Laplace transform to solve the following initial value problems. 2 a) ' +5/- y = 0, (O) = -1/(0) = 3 b) +4+ 30) = -1. V(0) - 2

Answers

To solve the initial value problems using the Laplace transform, we can apply the Laplace transform to the given differential equations and initial conditions.

For the first problem, the Laplace transform of the differential equation is s^2Y(s) + 5sY(s) + 2Y(s) = 0. Solving for Y(s), we find Y(s) = -3/(s+1).

Taking the inverse Laplace transform, we obtain the solution y(t) = -3e^(-t). For the second problem, the Laplace transform of the differential equation is sY(s) + 4Y(s) + 3/(s+1) = -2. Solving for Y(s), we find Y(s) = (-2s - 1)/(s^2 + 4s + 3). Taking the inverse Laplace transform, we obtain the solution y(t) = (-2t - 1)e^(-t).

a) The Laplace transform of the given differential equation is:

s^2Y(s) + 5sY(s) + 2Y(s) = 0

Using the initial condition Y(0) = -1 and Y'(0) = 3, we can apply the initial value theorem to obtain:

Y(s) = -1/s + 3

Taking the inverse Laplace transform of Y(s), we find:

y(t) = -3e^(-t)

b) The Laplace transform of the given differential equation is:

sY(s) + 4Y(s) + 3/(s+1) = -2

Using the initial condition Y(0) = -1, we can apply the initial value theorem to obtain:

Y(s) = (-2s - 1)/(s^2 + 4s + 3)

Taking the inverse Laplace transform of Y(s), we find:

y(t) = (-2t - 1)e^(-t)

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QS 20-18 (Algo) Schedule of cash receipts LO P2 X-Tel budgets sales of $64,000 for April, $120,000 for May, and $76,000 for June. Sales are 40% cash and 60% on credit. All credit sales are collected in the month following the sale. Total sales for March were $11,000. Prepare a schedule of cash receipts from sales for April, May, and June Sales Cash receipts from: Cash sales Sales Total cash receipts X-TEL Schedule of Cash Receipts from Sales April $ $ May 64,000 $120,000 $ 25,600 48,000 11,000 72,000 36,600 $ 120,000 $ June 76,000 30,400 72,000 102,400 Consider the problem of finding the root of the polynomial f(1) = 0.772 +0.91.22 - 10.019 +1.43 in [0, 1] (i) Demonstrate that 0.7723 +0.91.r2 - 10.01% +1.43 = 0 = I= 1 + (4.1) 13 20 -3 + 11 on [0, 1]. Show then that the iteration function 9() 13 derived from (4.1) satisfies the conditions of the main statement on convergence of the Fixed-Point Iteration method on the interval [0, 1] from the lecture notes (quoted in Problem 1). 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How large must the sample be if you wish to be 95% confident that the error in estimating p is less than 0.02, regardless of the true value ofp?__________ Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data: = 32.4 mi s = 8.3 mi n = 35 1. Identify the tail of the test. [ Select] 2. Find the P-value [Select] 3. Will the null hypothesis be rejected? Will countries be better off under a multilateral economic liberalization regime or under a system of regional economic integration? Why? I am tasked to write a 5 page paper and I need help in what to talk about as in what should go in the paragraph. Structuring your paper with a strong opening, an informative, research-based middle/body, and a strong conclusion, discussing Technology in the Sports Communication World. Australian lobsterpeople fear a collapse of the lobster industryfrom over-harvesting.They are comparing various policy options for regulation. Usethe following information to analyze their choice. A solution of the amino acid serine is at ph 1. what will be the overall charge and the charge on the two functional groups? serine has a pi of 5.68 Describe the concepts and valuation principlesunderlying the acquisition method of accounting for thenoncontrolling interest. What equation is graphed?1086SK-10-8-8/ 2 4 6 8 10-8-10169=1=1po Problem 2. Certainty Equivalent and Risk Premium. Suppose an individual with zero initial wealth and utility function u(W) = VW is confronted with the gamble (16, 4,0.5) (i.e., it pays off 16 with probability 0.5 and 4 with probability 0.5). 1. What is the certainty equivalent for this gamble? 2. Suppose there is an insurance policy that pays off -6, if the gamble pays off 16, and 6 if the gamble pays off 4. What is the maximum that the individual should be willing to pay for this policy? 3. What is the minimum required increase in the probability of the high-payoff state so that the individual will not be willing to pay any premium for such an insurance policy? 4. Now suppose the individual is faced with the gamble (36, 16,0.5). In this case, assume the insurance policy pays off -10, if the gamble pays off 36, and 10 if the gamble pays off 16. Repeat points 1-3 for this new gamble. Is the required increase in probability smaller, larger, or the same as for the first gamble? Why? When Exxon markets their regular unleaded gasoline around the world they use a ___ strategy. global local mixed localized-global What connection does the author draw between juvenile offenders brains and their rehabilitation? Use evidence from the text to support your response You may need to use the appropriate appendix table or technology to answer this question Automobiles manufactured by the Efficiency Company have been averaging 43 miles per gation of gasoline in highway driving. It is believed that its new automobiles average more than 43 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 44.5 miles per galian with a standard deviation of 1 miles per gaten. (a) With a 0.05 level of significance using the critical value approach, test to determine whether or not the new automobiles actually do average more than 43 miles per ga State the null and alternative hypotheses (in miles per gation). (Enter te for as needed.) H H Compute the test statistic 3 x Determine the critical value(s) for this test. (Round your answer(s) to three decimal places. If the test is one-tated, enter NONE for the unusta) test statistics a test statistic 23 State your conclusion O Reject H There is sufficient evidence to conclude that the new automobiles actually do average more than 43 miles per gallon Do not reject He. There is insufficient evidence to conclude that the new automobiles actually do average meve than 43 miles per gallon Reject H. There is insufficient evidence to conclude that the new automobiles actually do average more than 43 miles per gan Do not reject H There is sufficient evidence to conclude that the new automobiles actually do average more than 43 mis per gan (b) What is the p-value associated with the sample results? (Round your answer to four decimal places) p-value- ion based on the p-value? What is the difference between horizontal and vertical inequality? Which is more important to consider when implementing an anti-poverty policy? Lets consider a consumers choice between red pencils and blue pencils. Suppose the consumer currently has 10 pencils of each color.(a) If the consumer is always willing to substitute two blue pencils for one red pencil, drawthe consumers indifference curve going through her current consumption bundle (10, 10).(b) If the consumer always uses one red pencil and two blue pencils together, draw theconsumers indifference curve going through her current consumption bundle (10, 10). True or False:A CDO is a financial instrument where the underlying pool ofdebt obligations consists of bond-type instruments (corporate andemerging market bonds). if a fixed amount of gas is heated, then the volume will because the heat will cause the molecules of gas to move____ A firms production function is Q = K^0.6 L^0.6 where K is capital input measured in machine-hours and L is labour input measured in worker-hours. The firm is perfectly competitive and hires its machines at a constant rental rate of r = 5 euros per hour and its workers at a constant wage rate of w = 2 euros per hour.a. Using the Lagrange multiplier method, find the maximum hourly output that the firm can produce, given a fixed budget of 1000 euros.b. How is the solution changed if the budget is doubled? Is the maximum output also doubled? Question 6 Cats Dogs 10 5 7 8 a. How many people own a cat and a dog? I b. How many people own a cat? c. How many people own a cat but not a dog? d. How many people are represented?