Zeke's Steakhouse has two locations in Alabama. Suppose Zeke would like to test to see if there is a difference in population mean customer bill (per person) at his two locations (1,2). Random samples of bills are taken for each location and the following data are recorded: Sample 1: n1= 25, X 1 = $22.44, s1= $6.25 Sample 2: n2= 36, X 2 = $16.23, s2= $3.11 What is the test statistic assuming unequal population standard deviations?

1. In 2008, there were approximately 28.2 million live Christmas trees sold in the U.S

2. The linear regression equation that models the set of data above is C = 0.28t + 27.28.

3. From 2004 to 2011, the number of Christmas trees sold in the U.S. increased by approximately 0.28 million trees each year.

4. In 2008, there were approximately 28.4 million live Christmas trees sold in the U.S.

5. Why is this the case: A. The data are not perfectly linear. The regression equation gives only an approximation.

By using the data values in the table, the number of live Christmas trees that were sold in the year 2008 can be calculated as follows;

t = 0 + (2008 - 2004) years.

t = 4 years.

At t = 4 years on the table, approximately 28.2 million live Christmas trees sold in the U.S.

Part 2.

Based on the table, we can logically deduce that the y-intercept or initial value is (0, 27.1).

y = mx + b ≡ C = mt + b

b = (547.6 - 538.6)/(105 - 72.2)

b = 0.28

Therefore, the required linear regression equation is given by;

C = 0.28t + 27.28

Part 3.

Based on the slope of the above linear regression equation, the number of Christmas trees sold in the U.S. from 2004 to 2011 increased by approximately 0.28 million trees each year.

Part 4.

For the number of live Christmas trees sold in year 2008, we have:

C(4) = 0.28(4) + 27.28

C(4) = 28.4 million.

Part 5.

The answers to parts 1 and 4 are different because the data set do not have a perfectly linear relationship and the linear regression equation gives only an approximated value, not an exact value.

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Answer:

6z^3 + 4z^2 + 5

Step-by-step explanation:

Combine like terms from each side of the expression.

(4z^3 + 2z^3) + (3z^2 + z^2) + (8 - 3)

6z^3 + 4z^2 + 5

The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is given as:

y = mx + b

Where m is the rate of change and b is the y intercept (initial value of y)

Let y represent the amount of water Jaquan uses to wash x cars, Using the point (2, 24) and (5, 60):

y - 24 = [(60 - 24)/(5- 2)](x - 2)

y = 12x

For 6 cars:

y = 12(6) = 72

The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.

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Answer: Jaquan uses 72 L to wash 6 cars

Step-by-step explanation:

The function f(t) = (235.5 - 25.125t) where t is the time in minutes.

Let the initial amount of oil in the tanker be denoted by 'C' (in gallons) and the leak rate be denoted by 'r' (in gallons per minute).

After 12 minutes, the amount of oil remaining in the tanker is given by:

C - 12r = 537

After 16 minutes, the amount of oil remaining in the tanker is given by:

C - 16r = 336

Solving these two equations simultaneously, we get:

C = 4r + 336

Substituting this value of C in the first equation, we get:

4r + 336 - 12r = 537

Simplifying this equation, we get:

-8r = 201

Dividing both sides by -8, we get:

r = -25.125

Therefore, the leak rate is 25.125 gallons per minute. Substituting this value of r in the equation C = 4r + 336, we get:

C = 4(-25.125) + 336 = 235.5

Therefore, the initial amount of oil in the tanker is 235.5 gallons.

The function f(t) that describes this scenario is:

f(t) = (235.5 - 25.125t) where t is the time in minutes.

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Answer:

6 chicken sandwiches to 4 veggie sandwiches

Step-by-step explanation:

I took the quiz.

Answer:

c

Step-by-step explanation:

where's the trust?

Answer:

Please refer to the attachment

Step-by-step explanation:

yea the answer us 8dj but u jejrjfjfjdjdjjfjfjcj

Answer:

(2x+5)(x-1)

Step-by-step explanation:

2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)

The value of the test statistic cannot be accurately computed without additional information about the populations and hypothesis being tested.  

Without additional data about the populations and the hypothesis being tested, it is not possible to accurately compute the value of the test statistic. The test statistic is a numerical value that is calculated from sample data and is used to determine whether to reject or fail to reject a null hypothesis.

The value of the test statistic depends on the specific statistical test being used, such as a t-test or an ANOVA. In order to calculate the test statistic, one would need to know the sample sizes, means, and variances for each population, as well as the specific hypothesis being tested.

Once the test statistic is calculated, it can be compared to a critical value or a p-value to determine the statistical significance of the results. If the test statistic is greater than the critical value or if the p-value is less than the chosen level of significance, then the null hypothesis is rejected in favor of the alternative hypothesis.

In summary, the value of the test statistic cannot be accurately computed without additional information about the populations and hypothesis being tested. The test statistic is used to determine the statistical significance of results and depends on the specific statistical test being used.

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The simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

To find the simplified expression:

Given -

Thus,

Therefore, the simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

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The complete question is given below:
Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?

(A) x2 + 3x + 5

(B) x2 + 3x + 9

(C) 3x2 + 5

(D) 3x2 + 9

Answer:

The person on top is right.

ITS A

Step-by-step explanation:

Answer: 28x+8y+2 .

= -2 (-14x-4y-1)

= 28x + 8y + 2

Step-by-step explanation:

Answer: 28x + 8y + 2

Step-by-step explanation:

-2(3x+12y-5-17x-16y+4)

= -2(3x-17x+12y-16y-5+4)

= -2(-14x-4y-1)

= -2(-14x) -2(-4y) -2(-1)

= 28x+8y+2

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

Answer:

PQT and TQS

Step-by-step explanation:

they must supplement each other to get the 90

Answer:

y intercept is 4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

T2÷T1=r and T3÷T2=r and T4÷T3=r

The function f(x) = 9x -2 and the value of f(x+h) will be 9x + 9h - 2

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given: f(x) = 9x-2. In order to determine and simplify f(x+h), we are going substitute x = x + h into the function

f(x)=9x -2:

f(x) = 9x-2  when  x = x + h

f(x+h) = 9(x+h) - 2  = 9x + 9h - 2

Therefore, the value of  f(x+h) is 9x + 9h -2

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Answer:

7x+12y ≤ 600

7x+12y = 600

Step-by-step explanation:

Lets first call cars x and minivans y. Since they want to raise 600, you can do the sign ≤ and 600

≤ 600

Since it is $7 per car, we can do 7x.

Since it is $12 per minivan, we can do 12y.

Together, they have to add up to 600 or more.

7x+12y ≤ 600

If you provide some options, I might be able to give a better answer. Without options, I can't tell if they want an exact answer or not. So technically, the answer could also be:

7x+12y = 600

This is an example of cluster sampling in action. Cluster sampling divides the population into groups or clusters, from which a sample is drawn.

The population in this case is the ninth-grade students in the local public school system, and the clusters are the five chosen high schools.

The psychologist takes a sample from each cluster by administering the IQ test to all ninth-grade students in the selected schools.

Cluster sampling is frequently used when obtaining a list of all elements in the population is difficult or expensive, and a list of clusters is more readily available.

It's also popular in situations where the clusters are naturally occurring groups, like schools or neighborhoods. However, the main drawback of cluster sampling is that it can result in a biased sample if the selected clusters are not representative of the entire population.

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We can find the value of the integral ∫ 0 8 4 x sin(x^2) dx by using the substitution u = x^2 and evaluating the resulting integral ∫ 0 64 sin(u) du/2. The final answer is 4 - 4cos(64).

To solve this problem, we need to use a substitution. Let u = x^2, then du = 2x dx. We can rewrite the integral as:

∫ 0 8 4 x sin(x^2) dx = ∫ 0 64 sin(u) du/2

Using the limits of integration, we can evaluate the integral as follows:

∫ 0 64 sin(u) du/2 = [-cos(u)/2] from 0 to 64
= (-cos(64)/2) - (-cos(0)/2)
= (cos(0)/2) - (cos(64)/2)
= (1/2) - (cos(64)/2)

Therefore, the answer to the integral is:

∫ 0 8 4 x sin(x^2) dx = 8 · 1/2 - 8 · cos(64)/2
= 4 - 4cos(64)

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Answer:

Step-by-step explanation:

x + y = 14 --> x = 14 - y

$0.10x + $0.25y = $2.00, or 10x + 25y = 200

- we can plug this value for x from the first equation into the second:

10(14 - y) + 25y = 200

140 - 10y + 25y = 200

140 + 15y = 200

15y = 60

y = 4 --> 4 quarters ($0.25 x 4 = $1.00)

if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)

matches the second equation where these add up to $2.00

Answer:

1 way is 10 dimes and 4 quartes

I can only come up with one way

Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

A is the first letter in the alphabet it makes a ahhhhhh sound and is a very usful letter and is clasafiyed as a vauve

Answer:

1)The equation of the Parallel line is 2x -y -4=0

2) The equation of the perpendicular line of the given line x+2y+8=0

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x+3 and passes through (0,-4)

Let y =f(x) = 2x+3

    y = 2x+3

⇒ 2x -y +3=0

The equation of the parallel line of the given line 2x - y +k =0

This line is passes through the point (0,-4)

⇒ 2 (0) -(-4)+k=0

            4 +k=0

        ⇒    k =-4

The equation of the Parallel line is 2x -y -4=0

2)

Step(ii):-

Given function f(x) = 2x+3

Let y = 2 x + 3

 2x - y +3=0

The equation of the perpendicular line   bx -ay +k=0

The equation of the perpendicular line of the given line -x-2y +k =0

This line is passes through the point (0,-4)

⇒  (0) -2(-4)+k=0

            8 +k=0

        ⇒    k =-8

The equation of the perpendicular line of the given line -x-2y -8 =0

The equation of the perpendicular line of the given line x+2y+8=0

A = x·(350 - 2x)

Therefore we get quadratic function:

A(x) = -2x² + 350x

where x = h is one of the dimensions and k = A(h) is the largest area

\(h=\dfrac{-b}{2a}=\dfrac{-350}{2\cdot(-2)}=87.5\ m\)

250-2x = 350 - 2·87.5 = 350 - 175 = 175 m

\(A(h)=-2(87.5)^2+350\cdot87.5=15312.5+30450=45762.5\ m^2\)

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

D. 3 hours

Step-by-step explanation:

Answer:

x + y - 5 = 0

Step-by-step explanation:

(x-4)² + (y+3)² = 16

To remove the square on the left side, we square root both sides

√(x-4)² + √(y+3)² = √16

The square will cancel the square root on the left side, while the square root of 16 is 4

(X-4) + (y+3) = 4

open the brackets

x-4+y+3=4

x + y = 4 + 4 - 3

x + y = 5

x + y - 5 = 0

Answer:

I think it's still going to be 2x+3. please let me know if I am wrong