A company manufactures small refrigerators. The total cost to manufacture 43 refrigerators is $5075. The total costs to manufacture 118 refrigerators is $10700. Assume that total cost, C, is linearly related to the number of refrigerators, x, the company manufactures and includes a fixed cost and a cost per refrigerator.

Answer:

B

Step-by-step explanation:

36 ÷ 3 = 12 is basically the division version of the original equation. None of the other equations equal the same answer so B is the correct option.

36 ÷ 3 = 12 is equivalent to 3 • 12 = 36

What Jerry can do if he is testing for normality of the residuals in the regression analysis is to; construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line.

Regression Analysis creates an equation that is the best fit of the given data of both the dependent and the independent variables. Now, it should be noted that the residuals are the error in the regression equation predicted values as well as the actual sample values.

The quantile plot is basically a standard way to tell us whether the data is distributed. Now, If the data points stay quite close to an upward sloping line in the quantile plot, then it can be assumed that the residuals are normally distributed. Then, values of the coefficients are tested to check that they are not statistically equal to zero via a t-test. The t-test is required to know whether the results of the regression are seen to be significant. Finally, results of a t-test usually possess a requirement that the residuals, is normally distributed.

Read more about Regression Analysis at; https://brainly.com/question/26755306

#SPJ1

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Answer:

C

Step-by-step explanation:

Approximately 68.27% of newborn babies in the U.S. will have a birth weight between 6 lbs and 8 lbs.

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Given that the mean birth weight is 6.8 lbs and the standard deviation is 1.7 lbs, we can calculate the z-scores for the lower and upper limits of the desired range.

To find the z-score for 6 lbs, we subtract the mean from 6 and divide by the standard deviation: (6 - 6.8) / 1.7 = -0.47. Similarly, for 8 lbs, the z-score is (8 - 6.8) / 1.7 = 0.71.

Using the standard normal distribution table or a calculator, we can find the proportion of newborns with birth weights below 6 lbs (to the left of -0.47) and above 8 lbs (to the right of 0.71). Subtracting these proportions from 1 gives us the proportion between 6 lbs and 8 lbs.

Since the standard normal distribution is symmetric, the proportion of newborn babies with birth weights between 6 lbs and 8 lbs is approximately 0.6827, or 68.27%.

Learn more about normal distribution here:

https://brainly.com/question/30404390

#SPJ11

Answer:

12.4

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

Answer:

The value for X is 25

Step-by-step explanation:

I hope this helps you out!

The answer would be the surface area:

Definition:

Let:

Therefore:

Given:

A box-and-whisker plot of data set.

To find:

The percentage of the data values that are greater than 80.

Solution:

From the given box-and-whisker plot, it is clear that:

Minimum value = 8

First quartile = 60

Median = 68

Third quartile = 80

Maximum value = 92

We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.

Therefore, about 25% of the data values that are greater than 80.

The value of equation which is given is 12.

According to the Statement

we have given the expression and the some values and we have to find the values of the expression after put the given values in it.

So,The given values are:

h = 8. j = -1, and k = -12

And the given equation expression are J³k/h⁰

Now Substitute the value in the expression then

J³k/h⁰

After putting the values the expression become

(-1)³-12/8⁰

(-1)(-12)/1

After solving the value become

12/1

12.

now the value of expression become is the 12 after put all the values in it.

So, The value of equation which is given is 12.

Learn more about Equations here

https://brainly.com/question/13763238

#SPJ1

Answer: 4x-y+2=0 i think

Step-by-step explanation

Answer:

21/5 or 4 1/5

Step-by-step explanation:

Answer: 4 1/5

Step-by-step explanation:

Answer:  -185  (choice D)

=========================================================

Explanation:

Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.

Adding those two said integers will lead to -371

first+second = -371

x+(x+1) = -371

2x+1 = -371

2x = -371-1

2x = -372

x = -372/2

x = -186

x+1 = -186+1 = -185

Note how -186+(-185) = -371 to confirm the answer.

The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.

The answer is option D.The solution is in the attached file.

If the ratio is 1:18, and we need to know how the other side for the ration 9:?, then we have to multiply 9x18.

9x18=162

so Laurel and Delmar are 162 km away

hope it helps! :3

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

Here, we have to find the volume of the solid enclosed by the two paraboloids \(y = x^2 + z^2\) and \(y = 32 - x^2 - z^2\),

we need to set up a triple integral in cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cos(θ)

z = r sin(θ)

y = y

The limits of integration for r, θ, and y will depend on the region of integration.

First, let's find the intersection points of the two paraboloids:

\(x^2 + z^2 = 32 - x^2 - z^2\\2x^2 + 2z^2 = 32\\x^2 + z^2 = 16\)

This represents a circular region with radius r = 4 in the x-z plane.

Now, let's find the limits of integration for r, θ, and y:

For r:

Since the circular region has a radius of 4, the limits of r will be from 0 to 4.

0 ≤ r ≤ 4

For θ:

The intersection points form a complete circle in the x-z plane, so the limits of θ will be from 0 to 2π.

0 ≤ θ ≤ 2π

For y:

The lower paraboloid is given by \(y = x^2 + z^2\), and the upper paraboloid is given by \(y = 32 - x^2 - z^2\).

The limits of y will be from the lower paraboloid to the upper paraboloid.

\(x^2 + z^2 \leq y \leq 32 - x^2 - z^2\)

Now, we can set up the triple integral to find the volume V:

V = ∫∫∫ (y) dy dθ dr

V = ∫∫∫ \((r^2 cos^2(\theta) + r^2 sin^2(\theta)) dy d\theta dr\)

V = ∫∫∫ \((r^2) dy d\theta dr\)

V = ∫∫ \((r^2) y|_{(x^2+z^2)}^{(32-x^2-z^2)} d\theta dr\)

V = ∫∫ \((r^2) (32 - 2x^2 - 2z^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^2(x^2 + z^2)) d\theta dr\)

V = ∫ \((32r^2 - 2r^2r^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^4) d\theta dr\)

Now, integrate with respect to θ from 0 to 2π:

V = ∫(0 to 2π) ∫(0 to 4) \((32r^2 - 2r^4)\) dr dθ

Now, integrate with respect to r from 0 to 4:

V = ∫(0 to 2π) \([(32/3)r^3 - (1/3)r^5] |_0 ^4\) dθ

V = ∫(0 to 2π) \([(32/3)(4^3) - (1/3)(4^5)]\) dθ

V = ∫(0 to 2π) [(32/3)(64) - (1/3)(1024)] dθ

V = ∫(0 to 2π) [682.67] dθ

V = 682.67 * (2π) - 682.67 * (0)

V = 1365.34π cubic units

Therefore, the volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

To know more about Paraboloids visit:

brainly.com/question/14307074

#SPJ12

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

know more about vertical asymptote.

https://brainly.com/question/29260395

#SPJ11

The amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years is $505.45.

A sinking fund is a fund that an organization or a government sets up to help repay its debts or cover its planned expenditures. It is also referred to as a reserve fund. The purpose of a sinking fund is to make payments towards a debt, such as a bond issue when it becomes due. A sinking fund helps reduce the risks associated with default. Sinking funds are used to pay off debts, replace assets, or fund upcoming capital projects.

What is Compounded Monthly?

Compounded Monthly is when interest is paid on the original principal as well as on the accrued interest. In simple terms, Compound interest is the interest that is earned not only on the original deposit but also on any interest that has already been earned. The monthly compounding formula is calculated using this method.

What is the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years?

To find the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years, we use the formula:

PMT = FV([i/12]) / [(1 + [i/12])^(n*12) - 1]

where,

PMT = Paymenti = Interest rateFV

= Future value of the investment = number of years.

In this case, the amount of the payment that needs to be made into a sinking fund can be calculated as follows: Let's first convert the interest rate to

monthly interest rates = 8% / 12 = 0.6667%

FV = $57,000n = 8 years

PMT = 57000 / [(1 + 0.6667%)^(8*12) - 1]/ [0.6667%(1 + 0.6667%)^(8*12)]

PMT = $505.45

Hence, the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $57,000 over 8 years is $505.45.

To know more about the compounded monthly visit :

brainly.com/question/28964504

#SPJ11

Answer:[6/36]

Step-by-step explanation:

Answer:

(x+4) (x-8)

Step-by-step explanation:

The function is represented by the zeros

(x-a) (x-b) ....... = 0  where a,b,..... are the zeros

There are 2 zeros so there are 2 factors

( x- -4) ( x-8) = 0

(x+4) (x-8) =0

Answer:

Variable: b

Equation: $12b + $16 = $112

Solution: 8 books

Step-by-step explanation:

$12b + $16 = $112

$12b + $16 - $16 = $112 - $16

$12b = $96

$12b ÷ $12 = $96 ÷ $12

b = 8

Hope that helps.

Answer: 4x + 11 = 4(8)  

Step-by-step explanation:

The vector field is conservative and calculates its potential function does not exist as a function f F = ∇f.

To determine whether or not F is a conservative vector field, we need to check if the mixed partial derivatives of its components are equal. The vector field F can be written as F(x,y) = (2x - 3y)i + (-3x + 4y - 8)j.

To compute the mixed partial derivatives, we take the partial derivative of the y-component with respect to x, and the partial derivative of the x-component with respect to y. Doing so, we get:

∂Fy/∂x = -3

∂Fx/∂y = -3

Since these partial derivatives are not equal, we can conclude that F is not a conservative vector field.

Therefore, there does not exist a function f such that F = ∇f.

Learn more about the conservative vector field at

https://brainly.com/question/24332269

#SPJ4

Answer:

Step-by-step explanation:

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DE}\) = \(\frac{4}{DE}\) ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = \(\frac{4}{cos55}\) ≈ 6.97 ( to the nearest hundredth )

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

To learn more about superposition theorem visit : https://brainly.com/question/25329462

#SPJ11

We have that for the Question, it can be said that this is a way to approach the presentation

Generally we are asked to conduct a research on your car  using  reference

materials and Internet sites

While

Internet sites refers to sites on the net that gives detailed and affirmed information on  used cars

e.g www.cars.com

Now on the slides

For more information on this visit

https://brainly.com/question/14209188