A statistician wants to determine if there is a difference in the fuel efficiency of cars between model years. To do this, he selects random makes and models of cars and compares the fuel efficiency in miles per gallon of the current model year and the previous model year. Suppose that data were collected for a random sample of 9 cars, where each difference is calculated by subtracting the fuel efficiency in miles per gallon of the previous model year from the fuel efficiency in miles per gallon of the current model year. Assume that the fuel efficiencies are normally distributed. The statistician uses the alternative hypothesis Ha:μd≠0. Using a test statistic of t≈6.163, which has 8 degrees of freedom, determine the range that contains the p-value.

Answer:

$9

Step-by-step explanation:

$260-$170=90

90/10=9

We know that $17 * 10 = $170

c = amount of money to rent a locker.

$170 + 10c = $260

Subtract $170 from both sides.

10c = $90

Divide both sides by 10

c = $9

It cost $9 for one person to rent a locker.

Answer:

16

Step-by-step explanation:

3x - 4 = \(\frac{1}{2}\)(10x - 72)

⇔ 6x - 8 = 10x - 72

⇔ 4x = 64

⇔ x = 16

Answer:

the answer is on this document

Step-by-step explanation:

Answer: I believe the answer is (A) if it's not (A) then it's (C) I apologize if I'm wrong

Step-by-step explanation:

Step-by-step explanation:

Assume that you are the Food and Beverage Director of a large hotel. You are planning for your New Year’s Eve gala, and require a large amount of wine and champagne. You conduct a competitive bidding process with the purveyors in your area, and, based upon quality and price, you place a very large order (in excess of $20,000) with a single purveyor. One week later, you receive a case of very expensive champagne, delivered to your home with a nice note from the purveyor’s representative stating how much they appreciated the order and that they are really looking forward to doing business with you in the years ahead. What do you do with the champagne?

Expert Answer 

ANSWER From your perspective, it might not be illegal for you to accept a case of champagne. However, there could be liquor laws in your state that prohi…View the full answer

Answer:

Step-by-step explanation:

We know that the sides in a square are equal length. We also know that you have to multiply length by width to get area. So if we know that the length of one side is 16 feet then all we have to do if multiply 16 by 16. Hence why the answer is 256 square feet of carpet.

The value of the expression on evaluation is 96π / 5.

Here we have to find the value of the expression.

∫∫∫x² dV

E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.

E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].

∫∫∫ x² dV = ∫\(\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0\) r² cos² Фrd dФ

             = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,\)r³ cos²Ф dz dr dФ

            = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,\) 3\(r^{4}\)cos²Ф dr dФ

           = 3 \(\int\limits^2\pi _0 {} \,\) 1/2 \(2^{5}\)/ 5 ( 1 + cos² Ф )dr dФ

           = 48 / 5 [( Ф + 1/2 sin 2Ф)\(]^{2\pi } _{0}\)

            = 96π / 5

Therefore the value of the expression is 96π/5.

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Answer:

x=12

Step-by-step explanation:

4(12)+17 equals 65

(12)+23 equals 35

180-80=100

65+35=100

The measure of angle 1 is 107° suing the concepts of corresponding angles and linear pair of angles..

Given a line t which is a transversal line that cuts the two parallel lines m and n.

Here the angle which is linear pair to angle 1 and the angle 73° are corresponding angles.

By the corresponding angle theorem, the corresponding angles formed by two parallel lines cut by a transversal are equal.

So,

Measure of angle which is linear pair to 1 = 73°

Now linear pair of angles are supplementary.

∠1 + 73° = 180°

∠1 = 180° - 73°

∠1 = 107°

Hence the measure of angle 1 is 107°.

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The trigonometric value relations are solved and

a) cos 45° = √2/2

b) tan 30° = √3/3

c) sin 60° = √3/2

Given data ,

Let the trigonometric relations be represented as A

Now , the value of A is

a)

cos x = √2/2

On simplifying , we get

cos x = 1/√2

Taking inverse on both sides , we get

x = cos⁻¹ ( 1/√2 )

x = 45°

b)

tan x = √3/3

On simplifying , we get

tan x = 1/√3

Taking inverse on both sides , we get

x = tan⁻¹ ( 1/√3 )

x = 30°

c)

sin x = √3/2

Taking inverse , we get

x = 60°

Hence , the trigonometric relations are solved

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Step-by-Step Explanation:

n = 45

Therefore, 2 + 4(n - 1)

Putting n = 45, we have

2 + 4(45 - 1)

= 2 + 4 × 44

= 2 + 176

= 178

Answer:

B) 178

Hope it helps.

If you have any query, feel free to ask.

Answer:

Since an isosceles triangle has two congruent angles (the base angles), let x be the measure of each base angle. Then we know that the sum of the three angles in a triangle is 180 degrees, so:

vertex angle + base angle + base angle = 180

66 + x + x = 180

2x + 66 = 180

2x = 114

x = 57

Therefore, each base angle measures 57 degrees.

La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)

La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.

Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:

s = 2π · r         (1)

Donde r es el radio de la rueda, en metros.

Si tenemos que r = 0.20 m, entonces la distancia recorrida es:

s = 2π · (0.20 m)

s ≈ 1.257 m

Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:

S = 60 vueltas × (1.257 m / 1 vuelta)

S = 75.420 metros

La rueda recorre una distancia de 75.420 metros tras 60 vueltas.

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Answer:

The statement is true.

It's true because, in the case of symmetric distribution, we have mean, median mode at the same point.

Step-by-step explanation:

Hope this helps you helps!!!! :D

The product Z must have a worth of €50

From the question, we have the following parameters that can be used in our computation:

These parameters can be represented as

x = 10 + y

z = 2.5y

2x + y = 80

Substitute x = 10 + y in 2x + y = 80

So, we have

20 + 2y + y = 80

Evaluate the like terms

3y = 60

Divide by 3

y = 20

Substitute y = 20 in z = 2.5y

z = 2.5 * 20

Evaluate

z = 50

Hence, the worth of product Z is €50

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Answer:

34

Step-by-step explanation:

Answer:

2362 dollars for all the students

Step-by-step explanation:

my big brain

Answer:

ya you are right okokgudcv

Answer:

D

Step-by-step explanation:

distribute (product)

The number of chocolate which goes into the small boxes is 100 chocolate

= 3x + 6x

= 9x

x + 3x + 9x = 1296

13x = 1296

x = 1296/13

x = 99.6923076923076

Approximately,

x = 100 boxes

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Answer: B. 2(x - 3)(x - 4)

Step-by-step explanation:

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

I didn't know what you ment but still ill try my best:

Answer: x,11

Explanation:

Simplifying

-47 = 2x + 2x + -3

Reorder the terms:

-47 = -3 + 2x + 2x

Combine like terms: 2x + 2x = 4x

-47 = -3 + 4x

Solving

-47 = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-47 + -4x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

-47 + -4x = -3 + 0

-47 + -4x = -3

Add '47' to each side of the equation.

-47 + 47 + -4x = -3 + 47

Combine like terms: -47 + 47 = 0

0 + -4x = -3 + 47

-4x = -3 + 47

Combine like terms: -3 + 47 = 44

-4x = 44

Divide each side by '-4'.

x = -11

Simplifying

x = -11

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Answer:

ifruhhwhahsjjdhwjdkk

Answer:

y=-2/5x +3

Step-by-step explanation:

You get the y to be alone on it's side of the equal sign.

So you subtract 2/5 x from that side and what you do to one side you have to do to the other.

You get: y=-2/5x +3

Two expressions with equal sign is Equation. y= 3-2/5x is the solution for y if equation is 2/5x + y = 3.

Two expressions with equal sign is called as Equations.

Given Equation is 2/5x + y = 3, we need to solve for y.

You get the y to be alone on it's side of the equal sign.

So you subtract 2/5 x from that side and what you do to one side you have to do to the other.

2/5x + y = 3

y = 3-2/5x

Therefore  y=3-2/5x is the solution for 2/5x + y = 3 equation.

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Answer:

finding the value of x first

2x + 3x + 10 = 180 (linear pair)

5x = 180 - 10

x = 170 / 5

x = 34

3x = 102