The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $480 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05

Answers

Answer 1

Answer:

$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with mean $480 and standard deviation $20.

This means that [tex]\mu = 480, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?

This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 480}{20}[/tex]

[tex]X - 480 = 1.645*20[/tex]

[tex]X = 512.9[/tex]

$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05


Related Questions

Can someone help me please

Answers

9514 1404 393

Answer:

  {Segments, Geometric mean}

  {PS and QS, RS}

  {PS and PQ, PR}

  {PQ and QS, QR}

Step-by-step explanation:

The three geometric mean relationships are derived from the similarity of the triangles the similarity proportions can be written 3 ways, each giving rise to one of the geometric mean relations.

  short leg : long leg = SP/RS = RS/SQ   ⇒   RS² = SP·SQ

  short leg : hypotenuse = RP/PQ = PS/RP   ⇒   RP² = PS·PQ

  long leg : hypotenuse = RQ/QP = QS/RQ   ⇒   RQ² = QS·QP

I find it easier to remember when I think of it as the segment from R is equal to the geometric mean of the two segments the other end is connected to.

__

  segments PS and QS, gm RS

  segments PS and PQ, gm PR

  segments PQ and QS, gm QR

If you receive 25\% off an item costing $22.00, how much money do you save?

Answers

Answer:

5.50

Step-by-step explanation:

They save 5.50

Answer:

$5.50

Step-by-step explanation:

Hello! This is an easy one. If we are trying to find how much she is saving all we would need to do is multiply.

$22.00 * 25% = $5.50

If we are trying to find out the total with the discount all we would need to do is subtract.

22 - 5.5 = $16.50

Hope this helps!!

Help pls number 17 show work if needed!ty!

Answers

Answer:

Step-by-step explanation:

Use the coordinates of two points to determine the slope of the line through them.

Using (3,105) and (1,35):  slope = (105-35)/(3-1) = 35

Point-slope equation for line of slope 35 passing through (1,35):

y-35 = 35(x-1)

y = 35x, which is equivalent to Brian's equation.

Which of the sets of equations represent the two lines graphed?
A)y=x+2 and y=x-4
B)y=x+2 and y=-x-4
C)y=-x+2 and y=x-4
D)y=x-2 and y=-x-4

Answers

Answer:

y = x + 2

y =-x - 4

Step-by-step explanation:

Find the slope and y-intercept of each lines to write the equation in slope intercept form: y = mx + b where m is the slope and b is the y-intercept

If 2/3x - 1 = 4 , then x =

Answers

Answer:

2/5

Step-by-step explanation:

After solving the given equation, we get the value of x is

What is Equation?

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Solve the given equation, to find the value of x

[tex]\frac{2x}{3}-1 =4\\\frac{2x-3}{3}=4\\ 2x-3=12\\2x=15\\x=\frac{15}{2}\\ x=7.5[/tex]

Hence, the value of x is 7.5

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The length, width, and height of the wooden box are 12.3 inches, 6.4 inches, and 7.5 inches respectively. The cost of painting the box is $0.25 per square inches. Find the total cost of painting the box.

Answers

Answer:

Step-by-step explanation:

Formula

The first thing you must do is find the surface area. The formula is right below this sentence.

Surface area = 2*L*w + 2*L*h + 2 * w * h  Substitute givens into this formula

L = lengthw = widthh = height

The choice of what to make the Length, width and height is arbitrary

Givens

L = 12.3 inchesw =  7.5 inchesh = 6.4 inches

Solution

Surface area = 2*12.3*7.5 + 2*12.3*6.4 + 2*7.5*6.4

Surface area = 184.5 + 157.44 + 96

Surface area = 437.94 in^2

Cost of Paint

The question is not  really about Surface Area. The question is about the cost of paint given that 1 square inch costs 0.25 dollars.

Cost = Surface Area * 0.25

Cost = 109.485 dollars or

Cost = 109.49   rounded.

Which of the following applications of undefined terms made use of the concept of point as a location in space?
A RADAR. C laser beam
b tip of needle. D mole o a face

Answers

the answer to this is A

Jerome makes and sells his own energy drinks. He mixes powdered drink mix with water to create his own special blend.

Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual.

Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink.

Who is correct: Jerome’s brother or Jerome’s sister?

Answers

Answer:

Jerome's brother

Step-by-step explanation:

how many different ways can officers be appointed

Answers

32,760 hopefully this helps

A furniture salesman makes 3.5% commission. Her monthly sales are $18,545. Her annual salary is $18,995.80. What’s her monthly pay? Write just the value that represents your answer.

Answers

Using proportions, it is found that her monthly salary is of $1,528.9.

What is a proportion?

A proportion is a fraction of total amount.

In this problem, her monthly sales are $18,545, with a commission of 3.5%, hence, in commission, the amount she makes is:

0.035 x 18545 = 649.075

Her annual salary is $18,995.80, of which 18995.80 - 649 = $18,346.8 she receives in 12 payments, hence:

18,346.8/12 = $1,528.9.

Her monthly salary is of $1,528.9.

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True or false? The graph represents a function
5
-5
A True
B. False

Answers

Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

Yes, The graph represents a function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to show a graph.

Now, We know that;

The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then  it represent a function.

Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).

Thus, The graph represents a function.

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Is it against the law to be a Communist in the United States of America?

Answers

Answer:

no.

Step-by-step explanation:

Answer:

I don't believe there is any laws specifically saying that its illegal, but its probably not advised.

solve this in a class of 80 students studying for a national examination test for student study English 29 study history 14233 cafe to study English and History for to study geography and history and its study English and geography wife or did not study any of the three subject question 1 how many students study three subjects question two how many student study are any combination of the two subjects​

Answers

Answer:

The first thing I am going to say about the Olympic Games is the way the world is in its own right now and the conclusion sentence is a bit of a mystery for you to see if it can get a bit more interesting and more interesting to the point of view and see what the other person has to do to the other person or the person you are in

HELP HELP HELP ME PLEASE-

Answers

i’m pretty sure it’s b i apologize if it’s not

the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e

PLEASE HELP ITS DUE IN 39 minutes
For each graph below state weather it represents a function
Graph 1
Graph 2
Graph 3
Graph 4
Graph 5
Graph 6

Answers

Answer:

Graph 4

Step-by-step explanation:

pls and this question​

Answers

Answer:

-4

Step-by-step explanation:

that number cannot be simplified

PLEASE HELP ME AND MY FRIEND WITH THIS PROBLEM!!​

Answers

Answer:

36 possible outcomes

Step-by-step explanation:

10 POINTS PLS ANSWER

Answers

Answer:

Step-by-step explanation:

FGE is a straight line, and striaght lines measure 180 by definition. Therefore, x, angle BGA, and 55 all add together to equal 180. But notice that x and 55 are both marked with a single swish, meaning they are the same measure. So:

180 - 55 - 55 = x, so

x = 70

expression equivalent to (4x+3)+(-2x+4) is

Answers

Answer:

7x + 2x

Step-by-step explanation:

9x^2

Answer: 2x+7

Step-by-step explanation:

Since I am going to assume that you want me to simplify this expression, thats what I'm going to do.

1. Distribute the +1: 4x+3-2x+4

2. Combine like terms: 2x+7

Have a nice day! :D

Hendrick read b books in January, twice that amount in February, and I book in March






please help me fast​

Answers

Answer:

in total? if so it is 3b +1 books

Step-by-step explanation:

You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.

What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
Options: $30 per pound $0.14 per pound $7 per pound $14 per pound

Answers

Two 2.5 pound bags = 5 pounds for $34.99
34.99/5 pounds = 6.998 or $7/pound

I need help with question 8

Answers

Answer:

the answer is B!

Step-by-step explanation:

because :

Jerry has = 150$

he "*DEPOSITED*" = 50$

(When the word deposit comes, it basically means we need to ADD)

therefore, 150 +50x = 500

(7 weeks) so,

150 + 50 * 7 = 500

see! my answer is correct !

mark me brainliest now pweasee! ;)) ♡♡♡

What is the equation of an exponential function?
1)y=mx+b
2)a=b+c
3)y=a (b)^x
4)y=ax^2+bx+c

Answers

The is answer is choice 3

Select the correct answer. The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?

Answers

Answer:

see picture

Step-by-step explanation:

A recipe for cookies called for 2/3 of a cup of sugar per batch.Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answers

Answer: 8 batches

explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.

Answer:

8 batches

Step-by-step explanation:

I divided 2/3 by 5 1/3

Find the area of this shape pleaseeeeee

Answers

Answer:

22 meters squared

Split the figure into a 2*9 rectangle and 2*4 triangle

Help!!! Asap!! Will give out brainliest!! Need to explain how you did it please and thanks!! Just look at the picture attached!! Thank you so much!!
9) Which piecewise function is shown on the graph?
8
[485 - 5, ICO
f(3) = 3 0 SI56
-- - 7, I>6
6
2
(-4e5 – 5, I<0
(*) = 3
03:36
|-+7 >6
.
>
2
-6
-3
(465 - 5, ICO
0 SI56
1-5+7,> 6
(ges + 5, sco
f(1) = 3
0 SI56
= + 7
I>6

Answers

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

Determine the area of the composite figure to the nearest whole number.
26 cm2
B)
38 cm?
46 cm2
85 cm2

Answers

Step-by-step explanation:

Area of rectangle= l×b

= 4cm×6cm

= 24cm²

Area of circle. = πr²

radius of circle = diameter÷2=6÷2=3cm

Area of circle. = 3.14×3²=3.14×9

Area of circle. = 28.26cm²

[tex]area \: of \: composite \: figure = area \: of \: circle \: + area \: of \: rectangle[/tex]

Area of........... = 28.26cm²+24cm²

= 52.26cm²

PLEASE MARK BRAINLIEST.

The area of the composite shape is: B. 38 cm²

What is the Area of a Composite Shape?

Area of a composite shape = sum of the area of each shape that makes up the composite shape.

Thus:

Area of composite shape = area of semicircle + area of rectangle

= 1/2πr² + length × width

Radius (r) = 1/2(6) = 3 cm

Length = 6 cm

Width = 4 cm

Substitute

Area of composite shape = 1/2(3.14)(3²) + 6 × 4

Area of composite shape = 38 cm²

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Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag

Answers

Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.

choose yes or no to tell whether each of the following describes a convenience sampling method​

Answers

No, this is systematic sampling. Systematic sampling is where you use a specifically well defined rule to generate your sample. In this case, that rule is "pick every 4th customer". In other words, if the customer number is a multiple of 4, then they are selected.No, this is simple random sampling (SRS). Each school is assigned a number, and those numbers are fed into a computer to generate a list of schools to form the sample. A random number table can also be used. When comparing to systematic sampling, SRS in my opinion is the stronger sampling method in that we get a better representative sample. Consider a case where on some unlucky circumstance that every 4th customer happens to be male (refer to problem 1). That would mean males are over-represented while females are completely under-represented. This example, while a bit extreme, shows a flaw in systematic sampling. So in short, it's best to use SRS if you could only pick one.  Yes, this is convenience sampling. As the name strongly implies, convenience sampling is the easiest or most convenient way to select a sample. Sheila simply looked to her left and right to get the sample points she needed. While it's tempting to use this method due to its ease, it's probably very clear that this method can be heavily biased. She should employ SRS to get a better representative sample.Yes, this is convenience sampling. For the quality control manager, the easiest most convenient ladders he found were the first five closest to him. Those five ladders may or may not be representative of the population. The population being the set of all ladders in the shop. If those ladders don't break, then the manager may get the wrong conclusion that all if not most of the ladders won't break. However, his sample is not representative and there may be bad faulty ladders in the shop somewhere. He should do a SRS to address this problem. Perhaps even a cluster sample where he breaks the shop's floor area into various chunks and does random sampling based on that. A cluster sample is useful because some areas of the shop may be better or worse off compared to others. Eg: if there's a leak in the roof in one spot, or if there's more moisture, then that cluster is different from the rest that don't have such issues.

In short, we have these answers in this exact order: No, No, Yes, Yes.

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