A warehouse contains ten printing machines, four of which are defective. A company selects five of the machines at random, thinking all are in working condition. The company repairs the defective ones at a cost of $50 each. Find the mean and variance of the total repair cost.

Answers

Answer 1

The mean total repair cost is $100, and the variance of the total repair cost is $1500.

How to find the mean and variance ?

The total repair cost is a random variable that depends on the number of defective machines selected. This is a hypergeometric distribution problem.

In a hypergeometric distribution, the probability mass function is given by:

P(X = k) = [C(K, k) x C(N-K, n-k)] / C(N, n)

Therefore, the mean and variance of X are:

E[X] = n x (K/N) = 5 x (4/10)

= 2

Var [X] = n x (K/N)(1-K/N)[(N-n)/(N-1)]

= 5x (4/10)(1 - 4/10)[(10 - 5)/(10 - 1)]

= 0.6

Since Y = 50X, we can find the mean and variance of Y by multiplying those of X by 50 and 50^2, respectively, because if Y = aX for some constant a, then:

E[Y] = aE[X] and Var[Y] = a ² x Var[X]

Therefore, the mean and variance of the total repair cost are:

E[Y] = 50E[X]

= 50 x 2

=  $100

Var[Y] = 50 ² Var[X]

= 25000 / 6

= $1500

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Related Questions

Which number is irrational?


8√

0.8¯

0.46

100√3

Answers

Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

find the two numbers such that the sum of the two numbers is 24 and the product of the two nuumbers is 143

Answers

Answer:

11 and 13

Step-by-step explanation:

11 + 13 = 24

11 x 13 = 143

Answer:

119

Step-by-step explanation:

first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119

Q1) A car travels 145 miles in
3 hours and 38 minutes. How
fast did it travel?

Answers

38 minutes / 60 minutes = 0.63

The car traveled for 3.63 hours

Speed = distance/ time

Speed = 145 / 3.63 = 39.94 miles per hour

Round the answer as needed.

find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)​

find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)

Answers

Answer: D

Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)

Answer:

D. (9, 3)

Step-by-step explanation:

You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:

y - 3 = 3(x - 9)

3 - 3 = 3(9 - 9)

0 = 3(0)

0 = 0

Since the answers match, answer "D," is correct.

Which of the following can be useful when finding the value of a variable

check all that apply

A. Drawing a diagram

B. Drawing a graph

C. Reading a table

D. Writing an equation

Answers

Answer:

drawin a diagram?

Step-by-step explanation:

Answer:

all of them

Step-by-step explanation:

what is a trinomial?

Answers

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.

How tall is a stack of 10 chairs?

5 chairs are 51 inches

3 chairs are 45 inches

8 chairs are 60 inches

Answers

Answer:

10 chairs are 102 inches

Step-by-step explanation:

Beacause 5 chairs are 51 so the double of chairs will be 102 inches

The directions on a swimming pattern says to cut an extra 15 percent of fabric to account for error chloe needs 0.75 yard of fabric to make a skirt and she cuts 0.8625 yards did chloe cut the correct amount of fabric white or why not

Answers

The directions on a swimming pattern says to cut an extra 15 percent of fabric to account for error, Chloe needs 0.75 yard of fabric to make a skirt and she cuts 0.8625 yards,

Given that the directions on a sewing pattern say to cut an extra 15% of fabric to account for an error, and Chloe needs a 0.75 yard of fabric to make a skirt, so she cuts 0.1125 yard, to determine if Chloe cut the correct amount of fabric the following calculation must be made:

0.75 x 1.15 = X

0.8625 = X

0.8625 - 0.1125 = 0.75

Therefore, the amount of fabric that Chloe cut is correct.

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help got 25 min !!!!
A washer and a dryer cost \( \$ 965 \) combined. The washer costs \( \$ 65 \) more than the dryer. What is the cost of the dryer?

Answers

The cost of the dryer is $450.

Let's assume the cost of the dryer is represented by the variable x. Since the washer costs $65 more than the dryer, we can express the cost of the washer as

x+$65.

The combined cost of the washer and dryer is given as $965. Therefore, we can write the equation:

x+(x+$65)=$965

Simplifying the equation:

2x+$65=$965

Next, let's isolate the variable  x by subtracting $65 from both sides:

2x=$965−$65

2x=$900

x, divide both sides by 2:

x=$900/2

x=$450

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since 64 is a perfect cube the length of each edge of the block can be found. each edge is 4 centimeters long

Answers

If 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

Edge length of a cube

Given:

Volume of cube=64cm³

Hence:

Volume of the cube = a³

Volume of the cube, a³= 64 cm³

Using this formula

Cube edge length =∛(side)³

Let plug in the formula

Cube edge length =∛(64cm³)

Cube edge length=4cm

Therefore if 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

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The mean is 80, the standard deviation is 5. What number is 2.5 standard deviations above the mean? It is a normal distribtion.

Answers

Answer:

So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%

Step-by-step explanation:

Rick used 4-2-3 yards to sew 3-1-2 shirts what is the unit rate of cloth he used in terms of yards per shirt Mathematics 7th grade

Answers

If Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The unit rate of cloth he used in terms of yards per shirt is found by dividing the  3 1/2 shirts by 4 2/3 yards,

\(= 4 \dfrac{2}{3} / 3 \dfrac{1}{2} \\\\ = \dfrac{14}{3} / \dfrac{7}{2} \\\\ = \dfrac{14}{3} \times \dfrac{2}{7} \\\\ = \dfrac{4}{3}\)

Thus, if Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

The question is incomplete

The complete question is"Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?"

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“Find the number that makes 80:2 equivalent to
:8”

Answers

Answer:

320

Step-by-step explanation:

Step 1:

80 : 2 = x : 8

Step 2:

80/2 = x/8

Step 3:

2x = 640

Answer:

x = 320

Hope This Helps :)

Letters a, b, c, and d are angle measures.

Lines f and g are intersected by line n. At the intersection of lines n and g, clockwise from the top, the angles are: a, 75 degrees, blank, b. At the intersection of lines n and f, clockwise from the top, the angles are blank, blank, d, c.

Which should equal 105° to prove that f ∥ g?

a
b
c
d

Answers

Answer: d

Step-by-step explanation:

The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.

What is the length of AB?

What is the length of AB?

Answers

Answer:

We are given to find the length of side AB. We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Hope this helps!!

Answer:

12

Step-by-step explanation:

4x=2×+6

them you use the inverse operation and them the result is and you multiply by 2 the answer is 12

what impact does multicollinearity have on the p-values on the slopes in a regression model?

Answers

It is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques.

Multicollinearity is a statistical phenomenon where two or more independent variables in a regression model are highly correlated with each other. This can cause problems in the regression model as it becomes difficult to distinguish the individual effects of the independent variables on the dependent variable.
When multicollinearity is present in a regression model, the p-values of the slopes of the independent variables are affected. The p-value measures the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. The null hypothesis in a regression model is that the slope of the independent variable is zero, meaning that there is no relationship between the independent variable and the dependent variable.
Multicollinearity can cause the standard errors of the slopes to increase, leading to inflated p-values. In other words, the significance of the relationship between the independent variable and the dependent variable may be underestimated. This is because the highly correlated independent variables are both trying to explain the same variation in the dependent variable, leading to an unreliable estimate of the effect of each independent variable on the dependent variable.
Therefore, it is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques. This can help to ensure that the regression model produces reliable estimates of the effects of the independent variables on the dependent variable.

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What is 2+2 how do you know?

Answers

Answer:

is 4

Step-by-step explanation add

A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. What was the length of each piece of rope in inches


PLSS HELP!!!

Answers

Answer:  2.05 inches

Reason:

Divide the two values to get (14.35)/(7) = 2.05

CAN SOMEONE PLEASE TELL ME THE FORMULAS FOR A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
these type of problems i cant find anything and ive been up for 4 hrs its like 6 am

Answers

Answer:

9.72 seconds ( approx )

Step-by-step explanation:

Since, the equation that shows the height of the rocket from the ground,

y=-16x^2+143x+121y=−16x

2

+143x+121

Where,

x = time after launch, in seconds,

When the rocket hits the ground,

y = 0,

i.e.

-16x^2 + 143x+12=0−16x

2

+143x+12=0

By the quadratic formula,

x = \frac{-143\pm \sqrt{(143)^2 - 4\times -16\times 12}}{-32}x=

−32

−143±

(143)

2

−4×−16×12

x = \frac{-143\pm \sqrt{20449 + 7744}}{-32}x=

−32

−143±

20449+7744

\implies x = -0.778\text{ or }x=9.716⟹x=−0.778 or x=9.716

∵ Time can not be negative,

So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.

Step-by-step explanation:

그것이 당신에게 도움이되기를 바랍니다 :)

Please solve

??+1/16=3/2

Answers

Answer:

x = 23/16

Step-by-step explanation:

x + 1/16 = 3/2

Get a common denominator

x + 1/16 = 3/2 *8/8

x + 1/16 = 24/16

Subtract 1/16 from each side

x+1/16 -1/16 = 24/16 -1/16

x = 23/16

Step-by-step explanation:

x + 1/16 = 3/2

\(x = \frac{3}{2} - \frac{1}{16} \\ \)

\(x = \frac{48 - 2}{32} \\ \)

\(x = \frac{46}{32} = \frac{23}{16} \)

9. 5 9/10 = w + 2 5/6

10. 1 1/3 = a divided by 1 3/4

help me please

Answers

On solving the fractional equations, the values are -

9. w = 3 2/30

10. a = 16/21

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first fractional equation is -

5 9/10 = w + 2 5/6

Convert the mixed fractions to normal fractions -

59/10 = w + 17/6

Collect the like terms -

w = 59/10 - 17/6

w = (177 - 85) / 30

Use the arithmetic operation of subtraction and division -

w = 92/30

w = 3 2/30

The second fractional equation is -

1 1/3 = a / 1 3/4

Convert the mixed fractions to normal fractions -

4/3 = a / 7/4

Collect the like terms -

a = 4/3 × 4/7

Use the arithmetic operation of multiplication and division -

a = 16/21

Therefore, the value for w is 3 2/30 and for a is 16/21.

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Solve by elimination.
2x + 8y = 60
5x + 4y = –10

Answers

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

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

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity

Answers

In multiple regression analysis, the correlation among the independent variables is termed multicollinearity

Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.

It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.

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to find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, multiply the total for the fewer than 6 row, 72, by the total for the 39 or younger column, 240, and then divide this product by the total sample size, 500. calculate the expected frequencies. note that the row and column totals will be the same as for the observed frequencies.

Answers

The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:

Expected Frequency = (Row Total * Column Total) / Grand Total

Let's call the expected frequency "EF."

For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.

Plugging in the values into the formula:

EF = (72 * 240) / 500

Calculating the result:

EF = 86.4

So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.

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What is the value of x?

What is the value of x?

Answers

Answer:

5 units (you are right!)

Step-by-step explanation:

The triangles ABD and BCD are similar.

Therefore,

\(\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5\)

I hope this helped!

what is the word used to describe a vector that always points toward the center of a circular path?

Answers

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Find the mean of the data.
Megabytes of Data Used
85
206
0
109
62
28
460
149
98
The mean is
megabytes of data used.
what is the mean of the data

Answers

Answer:

Mean (Average): 133

Step-by-step explanation:

NEED HELP WITH MATH GEOMETRY

NEED HELP WITH MATH GEOMETRY

Answers

The missing reasons are

1. Corresponding Angle

2. Alternate Exterior Angle

We know, if a line intersects two parallel lines, the corresponding interior angles on the same side of the transversal will be congruent (equal).

1. Since CL || EK

Then, by the property of parallel line

<BFJ = <ADF (Corresponding Angle)

2. Since CL || EK

Then, by the property of parallel line

<EBH= <LDM (Alternate Exterior Angle)

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What is the greatest common
factor of the following three
numbers?
12, 18,32​

Answers

the answer is 6
hope this helps

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Redue the rate 100 miles per 5 hours to its unite rate and write the miles Portion

Answers



100/5 = 20

20 = 20/1

Answer: 20 miles per hour is the unit rate.
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