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 $440 and standard deviation $10. 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:

$456.45 should be budgeted.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean $440 and standard deviation $10.

This means that [tex]\mu = 440, \sigma = 10[/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 x for which

P(X > x) = 0.05

So 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 - 440}{10}[/tex]

[tex]X - 440 = 10*1.645[/tex]

[tex]X = 456.45[/tex]

$456.45 should be budgeted.


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Answer:

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Step-by-step explanation:

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The first question is B and the second one is C

Answer:

p = 16.8

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Step-by-step explanation:

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Answers

Answer:

m∠t = 143°

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A combination lock has 3 digits, each of which can be any number between 0 and 9. How many possible lock combinations are there?​

Answers

Answer:

1000

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........

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10 x 10 x 10 = 1000  (each number can be repeated on every digit)

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Answers

Answer:

missing angle = 30 degrees

Step-by-step explanation:

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120 + 30 = 150

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Answer:

120° +30° +z=180°150° +z =180°z= 180°-150°z=30°

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Answers

Answer:

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Step-by-step explanation:

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the perimeter is 28 feet long. you would add 7 four times because all sides on the square are equal

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Identify the constant of proportionality from the graph.


A. 3

B. 9

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Answers

I think it would A hope this helped
A.3

The constant of proportionality is the slope (or rate of change) of the graph.
To find the equation of the graph;
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The slope (m) = change in y ÷ change in x
m =
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if I wakes for 1/2 an hour, walks for 1/3 of an hour, and jogs for 1/4 of
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please someone help me this is for a test ​

Answers

Answer:

65 minutes

Step-by-step explanation:

The Cobb-Douglas production model is a function that relates production outputs with a combination of different inputs. Agricultural data from 44 countries around the world, concerning agricultural production Q, labor L, capital K, fertilizer F, and hectares of arable land H, can be used to create an agricultural production model for countries using a Cobb-Douglas function given by

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Answers

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

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Please refer to the attachment

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Answers

Answer:

7

Step-by-step explanation:

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Answer:

32 people

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Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)​

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Answer: 9/(1+2)

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Answer:

umm 4 ft

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

Kite x=1, y=7

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It is a kite.

The two lines on the bottom corners of the kite mean they have the same value.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answer:

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Answers

Answer:

x = 3

Step-by-step explanation:

the diagonals bisect each other so:

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subtract 2 from both sides of the equation:

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Answer:

It's a, 2^x + 3

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Answers

Answer:

the the figure shown x=7

Answer:

Step-by-step explanation:

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Answers

Answer:

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