4x – 2y = -8
y = 2x + 4

The average variable cost at 20 units of output in Table 21.2 is $0.70 per unit.

At 20 units of output in table 21.2, the average variable cost is the cost of producing each unit of output, including only the variable costs.

It is calculated by dividing the total variable cost by the number of units produced.

However, since you have not provided any specific values or data from table 21.2.

To find the average variable cost over 20 units of production in Table 21.2, we need to calculate the variable cost at that level of production and divide it by the number of units (20).

From the information in Table 21.2, we can see that the total cost column represents the sum of fixed and variable costs.

To get the variable cost, you need to subtract the fixed cost component.

Let's calculate the variable cost of producing 20 units:

Total cost of 20 units = $54

Fixed cost = $40

Variable cost = Total cost of 20 unit - Fixed cost

Variable cost = $54 - $40

Variable Cost = 14 $

Now we can calculate the Average Variable Cost:

Average Variable Cost = Variable Cost / Number of Units

Average Variable Cost = $14 / 20

Average Variable Cost = $0.70 per unit

Therefore , the 20 production units of the average variable table 21.2 are $0.70 each.

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The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

The are consecutive interior angles.

Answer:

2x2x2x3x7

Step-by-step explanation:

Answer:

2×2×2×3×7

Step-by-step explanation:

hope it helps

Solution

Given x-intercept as 6 => a = 6

and y-intercept as -2 => b = -2

the equation is;

The answer is:

To find the circumference of a circle with a radius of 7 cm, Erin should use 2×7×π. This is because the circumference of a circle is calculated by the formula 2×π×r.

The circumference is the measure of the perimeter of a circle. Since we know that from every point on the circle to its center has an equal length and is said to be its radius, the perimeter of the circle we can write as

Circumference = 2 × π × r units.

Here r is the radius of the circle.

It is given that Erin wants to find the circumference of a circle with a radius of 7 cm.

So, first, she has to know the formula for finding the circumference.

Here the radius is given as 7 cm i.e., r = 7 cm

Then, the circumference of the given circle is

= 2 × π × r

On substituting the radius value into the above formula, we get

Circumference = 2 × π × 7 cm

⇒ 14π cm

So, she needs to use option A. 2 × 7 × π  for finding the required circumference. This is the first step for finding the circumference of a circle.

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The standard deviation of the sample counts of bacteria in the ocean water specimens is approximately 6.07.

To find the standard deviation of a sample, we follow these steps:

Calculate the mean of the sample, which is the sum of all counts divided by the number of counts. In this case, the mean is (56 + 51 + 62 + 44 + 48 + 57) / 6 = 52.67.

Subtract the mean from each count and square the result. These squared differences are called the squared deviations.

(56 - 52.67)^2 = 14.11

(51 - 52.67)^2 = 7.11

(62 - 52.67)^2 = 87.56

(44 - 52.67)^2 = 75.89

(48 - 52.67)^2 = 21.12

(57 - 52.67)^2 = 18.22

Calculate the average of the squared deviations, which is the variance. The variance is (14.11 + 7.11 + 87.56 + 75.89 + 21.12 + 18.22) / 6 = 35.97.

Take the square root of the variance to obtain the standard deviation. The standard deviation is the square root of 35.97, which is approximately 6.07.

Therefore, the standard deviation of the sample counts is approximately 6.07.

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Answer:

not a function

Step-by-step explanation:

trust

Answer:

if x is what you are looking for then, x = 30

Step-by-step explanation:

3x - 40 = x + 20 (they are vertically oppositel

2x = 60

x = 30

Answer:

x = 30

Step-by-step explanation:

The 2 given angles are vertical and congruent, thus

3x - 40 = x + 20 ( subtract x from both sides )

2x - 40 = 20 ( add 40 to both sides )

2x = 60 ( divide both sides by 2 )

x = 30

Answer:

6.1÷8 = 0.7625

31.9÷4 =7.975

4.35÷5 = 0.87

Step-by-step explanation:

Answer:

the lines which donot meet each other at any point this type of lines are parallel

Step-by-step explanation:

eg ⬅️

➡️

Answer:

$468

Step-by-step explanation:

I = P*R*T

I = 300*0.04*14

I = 168

168 + 300 = 468

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

X=135⁰

Step-by-step explanation:

The sum of angles= 540

Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰

x+x+x+x-45+x-45+x-45=540

5x-135=540   simplify

5x=540+135   Add 135 to both sides

\(\frac{5x}{5} =\frac{675}{5}\)

divide both sides by 5

X=135⁰

hope it helps....

The time it would take to read a book that has 218 pages is 196.2 minutes. The correct option is the third option 196.2 minutes

From the question, we are to determine the time it would take to read a book that has 218 pages

From the given information,

"The time it takes to read 5 pages of a book can be represented with the equation y equals 4.5 divided by 5 times x"

That is,

y = 4.5/5 × x

Where y represents the total time in minutes

and x is the number of pages read

Now, we will determine how long it would take to read 218 pages

That is,

x = 218

Substitute the value of x into the equation

y = 4.5/5 × x

y = 4.5/5 × 218

y = 0.9 × 218

y = 196.2 minutes

Hence, the time it would take is 196.2 minutes

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Answer: 196.2 minutes

Step-by-step explanation: my nickname is points.

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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Answer:

The probability Mike Fishman completed the assignments is 0.8780.

Step-by-step explanation:

Note: The question is not complete but the complete one is given as follows:

Dr. Barton has been teaching basic statistics for many years. He knows that 80 percent of the students will complete the assigned problems. He has also determined that among those who do complete the assignment, 90 percent will pass the course. Among these students who do not complete their assignments, 50 percent will pass. Mike Fishman took statistics last semester from Dr. Barton and received a passing grade. What is the probability he completed the assignments?

The following are now the explanation to the answer:

Let A denote the event that the assignment will be completed by the students, B denote the event that the assignment will not be completed by the students, and C denote the event that the test will be passed; the probability that Mike Fishman completed the assignments can be estimated using the following formula:

P(A|C) = P(A)P(C|A) / [P(A)P(C|A) + P(B)P(C|B)] .................. (1)

Where,

P(A|C) = The probability that Mike Fishman completed the assignments = ?

P(A) = Percentage of the students who will complete the assigned problems = 80%, or 0.80

P(B) =  Percentage of the students who will not complete the assigned problems = 100% - 80% = 20%, or 0.20

P(C|A) = Percentage of students who do complete the assignment and pass the course = 90%, or 0.90

P(C|B) = Percentage of students who do not complete the assignment but pass the course = 50%, or 0.50

Substituting all the values into equation (1), we have:

P(A|C) = 0.80 * 0.90 / [(0.80 * 0.90) + (0.20 * 0.50)]

P(A|C) = 0.72 / (0.72 + 0.10)

P(A|C) = 0.72 / 0.82

P(A|C) = 0.8780

Therefore, the probability he completed the assignments is 0.8780.

The subtraction of f(x) from g(x) is given by the function:

h(x) = 2x^2 - 4

To subtract the functions f(x) and g(x), we need to subtract their corresponding terms. Let's break it down step by step:

f(x) = 4x^2 + 5x - 1

g(x) = 2x^2 + 5x + 3

To subtract these functions, we subtract their like terms:

Subtracting the squared term:

4x^2 - 2x^2 = 2x^2

Subtracting the linear term:

5x - 5x = 0

Subtracting the constant term:

-1 - 3 = -4

Putting it all together, the result of subtracting f(x) from g(x) is:

2x^2 + 0x - 4

Simplifying further, we can omit the 0x term:

2x^2 - 4

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Therefore, the correct answer is that these two events are dependent.

The given events are dependent events. To check whether the two events are dependent or independent, check the following case.

If A and B are independent events, then the conditional probability of A given B is:

P(A|B) = P(A)If A and B are dependent events, then the conditional probability of A given B is:

P(A|B) = P(A and B) / P(B)Now let's solve the problem stated in the question:

A card is drawn off a 52-card deck. Let A be the event "The card is a heart" and let B be the event "The card is a queen".

Now, let us calculate the P(A and B):

We know that,

P(B) = 4/52 = 1/13. (because there are 4 queens in a deck of cards)

For P(A and B), we need to find the probability of drawing a Queen of Hearts. That is,

P(A and B) = 1/52. (Because there is only one queen of hearts in the deck)

Now let us calculate the P(A|B):P(A|B) = P(A and B) / P(B) = (1/52) / (1/13) = 1/4 ≠ P(A)Therefore, P(A|B) ≠ P(A).

This means that events A and B are dependent events.

Therefore, the correct answer is that these two events are dependent.

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The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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• We are required to find Z so that the area is to the right, this means that the area is to be positive .

• 88 % can be converted to 88/100 = 0.88

• z = 1-0.88 = 0.12

The value tha corresponds with 0.12 = 0.04775

= 0.048

using the cumulative standard normal z score of 0.12 = 0.5478

Answer:

27 yrds

9x3=27

your welcome

These are the roots of the given expressions.

a. The root is \(\(-5 - 5i\).\)

b. The root is\(\(-24i\).\)

a. To find the root of \(\(5(-1 - i)\),\) we can simplify the expression:

\(\(5(-1 - i) = -5 - 5i\)\)

Thus, the root is \(\(-5 - 5i\).\)

b. To find the root of \(\(3(-8i)\),\) we simplify the expression:

\(\(3(-8i) = -24i\)\)

Therefore, the root is\(\(-24i\).\)

In both cases, we multiplied the given complex numbers by their respective coefficients. When we multiply a complex number by a scalar, such as 5 or 3, it scales both the real and imaginary parts of the complex number. In case (a), both the real part (-1) and the imaginary part \((-i) of \(-1 - i\)\) are multiplied by 5, resulting in\(\(-5 - 5i\).\) In case (b), the imaginary part (-8i) is multiplied by 3, yielding \(\(-24i\).\)

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Answer:

?

Step-by-step explanation:

I think some of the question is missing.

Answer:

7 inches

Step-by-step explanation:

Volume 1 - 300 pages 2 inches

back cover 1/4 inch

Volume 2 - front cover 1/4 inch

300 pages 2 inches

back cover 1/4 inch

Volume 3 - front cover 1/4 inch

300 pages 2 inches

8x-5[8]=16

8x=16+40

8x=56

x=7

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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The triangle congruence postulate which proves that these triangle are congruent is SAS (Side Angle Side).

According to the SAS Postulate,

Two triangles are said to be congruent if their two sides and included angles are identical to those of another triangle's two sides and included angle.

According to the figures of the triangles, we can see

AC = XZ (Side)

∠ACB = ∠XZY (Angle)

BC = YZ (Side)

Hence, ΔABC ≅ ΔXYZ by SAS postulate.

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