Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows: Number of Breakdowns Prob. 0 .50 1 .25 2 .10 3 .10 4 .05 The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance

Answers

Answer 1

Answer:

$100 worse off

Step-by-step explanation:

Number of Breakdowns : 0, 1, 2, 3, 4

Prob.: 0.50, 0.25, 0.10, 0.10, 0.05

Cost of a breakdown = $2,000

cost of a preventive maintenance program is $2,000 per month

Expected probability of breakdown:

E(x) = Σ(X * p(x)) = (0*0.5) + (1*0.25) + (2*0.10) + (3*0.10) + (4*0.05) = 0.95

E(x) * cost of breakdown = (0.95 * 2000) = $1900

Hence, difference between breakdown and preventive maintenance

1900 - 2000 = - $100

$100 worse off


Related Questions

Tommy buys a new stereo that sells for $1052.75 plus taxes. At the time of the
purchase the taxes and a $40 deferral charge are paid. The selling price is paid in
12 monthly payments.
A) What is the total amount to be paid at the time of the purchase?
B) What is the amount of each monthly payment?

Answers

Answer: See explanation

Step-by-step explanation:

A. What is the total amount to be paid at the time of the purchase?

This will be the selling price of the stereo with the tax and the deferral. This will be:

= $1052.75 + $40

= $1092.75

B) What is the amount of each monthly payment?

Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:

= $1092.75 / 12

= $91.06

Perimeter is always measured in square units.
True
False

Answers

false

Step-by-step explanation:

the perimeter is all the sides added up whereas the area is length × width

area is measured in square units not perimeter

The perimeter does not measures in square units because area should be measured.

What is the perimeter?

A perimeter refers to the closed path that encompasses or outlines and represents the two-dimensional shape or a one-dimensional length. The perimeter of a circle is known its circumference.

Therefore, we can say that the The perimeter does not measures in square units because area should be measured.

hence, it is false.

learn more about perimeter here: https://brainly.com/question/17211131

im doing some math homework and i have a question its there is a propotional relationship between the number of months a person had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is 47.94. The point (6,47.94) is shown on the graph below i need to take a picture of the graph to show you and the question is what is the constant of proportional in this relationship? can you help me​ its due today help

Answers

Answer:

The area of a square plot is 1600 meter square . The side of the plot is

Answer:

1600 metre square

........

find the value of x?!??????

Answers

Answer:

x = 31

Step-by-step explanation:

Given:

MN = 20

PQ = x

RS = 42

Required:

Value of x

SOLUTION:

In a trapezoid, the midsegment length equals the sum of both bases divided by 2

This implies that:

PQ = ½(MN + RS)

Plug in the values

x = ½(20 + 42)

x = ½(62)

x = 31

Pls help with right answer pls

Answers

Answer:

fifths

Step-by-step explanation:

I believe it is fifths since there are 5 people in the family, each person can get 3/5 of the pumpkin bread making it equal with nothing left over.

1 cm = ________ g
need help asap plsss​

Answers

Answer:

1 cubic meter is equal to 1000000 grams

Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).

Answers

Unit vector along the direction v = <3,1,-4> is :

[tex]\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}[/tex]

So, unit vector opposing the [tex]\hat{v}[/tex] is :

[tex]\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}[/tex]

so, vector of magnitude 3 units in opposite direction from v is :

[tex]\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)[/tex]

Hence, this is the required solution.

Bag A contains 3 red balls and 3 blue balls.
Bag B contains 1 red ball and 3 blue balls.
A ball is taken at random from bag A and placed in bag
B. A ball is then chosen from bag B. What is the probability
that the ball taken from B is red?

Answers

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

[tex]p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}[/tex]

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

Pls help me with this

Answers

Answer:

Step-by-step explanation:

Remark

They are alternate interior angles and therefore equal.

Solution

8x - 10 = 3x + 90              Subtract 3x from both sides

8x - 3x - 10 = 90               Combine the left

5x - 10 = 90                      Add 10 to both sides

5x = 90 + 10

5x = 100                           Divide by 5

x = 20      

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

That isn't the answer. You need 3x + 90

<B = 3*20 + 90

<B = 60 + 90

<B = 150

can u pls help me with this question ​

Answers

the answer is $15.58

Answer:

15.58

Step-by-step explanation:

it is

Multiply: 14.3 x 0.5

Answers

Answer:7.15

Step-by-step explanation: You multiply it

This one is the answer for your question.

Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?

She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.

Answers

Answer:

-21, -1, 0.1, 3, 4

Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1

Answer:

She treated all the numbers as positive.

Step-by-step explanation:

ik because i am from the future

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?

Answers

Answer:

    THE ANSWER IS 0.003

Which ordered pair, when graphed, would not show a function?

(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
(number of employees, number of hours worked)

Answers

Answer:

a) miles per gallon, gallons in tank

Step-by-step explanation:

All the options show functional relationship but the first one

a) miles per gallon, gallons in tank

There is no direct relationship between these parameters as miles per gallon depends on the speed and the way of driving. This won't be a function when graphed.

b) length of shadows/time of day

Shadow depends on the time of the day and its length wont repeat at different angles. This is a function.

c) temperature in F, temperature in C

This is a function as each input will have a unique output.

d) number of employees, number of hours worked

Hours of work depends on number of employees. This is a functional relationship.

Answer:

(number of employees, number of hours worked)

Step-by-step explanation:

3. A student measures the time it takes for a sheet of paper to fall to the ground from a marked height. The student then crumples the same piece of paper and drops the paper from the same. What variable did the student change? ​

Answers

Answer:

independent variable is the shape of the paper

dependent variable is the time it takes to fall

Solve 2/3 divided by 4/5

a.6/15
b.6/8
c.8/15
d.5/6

Answers

Answer:

d.5/6

Step-by-step explanation:

2/3÷4/5

2/3×5/4

5/6

Answer:

2/3÷ 4/5 is 5/6

.

Step-by-step explanation:

what is the process of solving sequential pattern C,D,F,G,J,K,O,P,__

Answers

C, D, (skip E)

F, G, (skip H and I)

J, K, (skip L, M, and N)

O, P, ...

If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.

(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)

Answers

Step-by-step explanation:

[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]

~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :

⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]

~Like terms are those which have the same base. Combine the like terms :

⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]

⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]

Step-by-step explanation:

Key skills needed for understanding: Combining Like Terms

1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]

- Since you are adding here, you can remove the parentheses.

- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]

2) Now we have to combine like terms in order to simplify this equation.

Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing  - these terms are numbers such as 9 or 5).

You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.

3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].

[tex]8a^2 - ab + 2b + 9[/tex] is the answer.

Hope you understood and have a nice day!! :D

Which expression is equivalent to the given expression?

6y−12

Answers

Answer:

it is 6(y-2)

Step-by-step explanation:

simplyfy 0.064/0.84 and leave the answer in standard form​

Answers

Answer:

0.07619047619.

Answer:7.619 x 10 -2

Step-by-step explanation

Standard form :)

Identify the following number. Choose all that apply.

−9

Answers

Answer:

negative nine ?

Step-by-step explanation:

I don't understand

Answer:

-9 is the answer

The other choices I can think of is below

Step-by-step explanation:

X= -9

-|9|

simplify the expression 5(a+3)

Answers

Answer:

5a + 15

Step-by-step explanation:

To simplify, simply distribute 5 to all terms within the parenthesis. Multiply in this case:

5(a + 3):

5 * a = 5a

5 * 3 = 15

5a + 15 is your answer.

~

Answer:

5a x 15

Step-by-step explanation:

distribute the five

-4 = r/20 -5
Solve for r. Show your steps​

Answers

-4 = r/20 - 5

Add 5 to both sides

1 = r/20

Multiple by 20 on both sides

20 = r

Answer:

r = 20

Explanation:

-4 = r/20 - 5

Simplify both sides of the equation

-4 = r/20 - 5

-4 = 1/20r + -5

-4 = 1/20r - 5

Flip the equation

1/20r - 5 = -4

Add 5 to both sides

1/20r - 5 + 5 = -4 + 5

1/20r = 1

Multiply both sides of the equation by 20

(20)1/20r = 1(20)

r = 20

A store is instructed by corporate headquarters to
put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?

Can someone help? It would be appreciated! ♡︎

Answers

Answer:

Find out  the selling price.

To prove

As given

A store manager instructs his employees to mark up all the items by 25%. An item that the store bought for $16.

25% is written in the decimal form.

= 0.25

25% of the $16= 0.25 × 16

                         = $4

Selling price of the item = Original price of item + 25% of the $16

                                       = $16 + $4

                                      = $ 20

Therefore the selling price of the item is $20.

Step-by-step explanation:

I was gonna steal the points but you seem nice. Have a good day!

Solve for t. 6t + 4 = -2​

Answers

6t + 4 = -2
6t = -2 - 4
6t = -6
t = -1
:)

This is an easy math question, I will give a lot of points.

Answers

Answer:

2.5 km/per hour

Step-by-step explanation:

do you want an explanation?

Hope it helps buddy.......

if
[tex]g(x) = - {4x}^{2} - 3x + 2[/tex]
determine g(-2).​

Answers

Answer:

Its is right -8

Step-by-step explanation:

because put the value of x andalso know the multiply

which. values are solutions to the inequality below
x^2<144

a. 12
b.11
c.7
d.-20
e.-8
f.-12​

Answers

Answer:

I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.

Answer:

b, c, and e since they're all less than 144 when squared. negative numbers will turn positive when squared and they're bigger than 144 so they're incorrect.

1 (06.06 LC
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the collected data, the least squares
regression line is y3.27 2.14, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least squares
regression line (points)
of your the estimated number of tots per minute increases by 27

Answers

The question is incomplete. Here is the complete question.

A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is [tex]y=3.27+2.14x[/tex], where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.

b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.

d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.

e. The slope has no meaning because the units of measure for x and y are not the same.

Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

Step-by-step explanation: The least-squares regression is a method of fitness, i.e., it fits a data set of number into an equation.

In this case, the relationship between number of texts per minute and customer age is given by a line equation:

[tex]y=3.27+2.14x[/tex]

in which, y represents the number of texts per minute and x is the age.

In a line equation, slope is the measure of steepness, i.e., how inclined the line is.

In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.

the difference of a number squared and six

Answers

Answer:

x^2-6

Step-by-step explanation:

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