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 $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

Answers

Answer 1

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

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 $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.


Related Questions

An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?

Answers

Answer:

13 exercises

Step-by-step explanation:

The number of exercises in the exam = 20

The points received for questions solved correctly = 8 points

The points taken off for exercises solved wrong = 5 points

The number of points Ben has = 13 points

Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;

0 < c + w ≤ 20...(1)

8·c - 5·w = 13...(2)

Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5

The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16

Therefore, when c = 6, and w = 7, we get;

8 × 6 - 5 × 7 = 13

The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20

When c = 11, we get;

8 × 11 - 5 × 15 = 13

11 + 15 = 26 > 20

The number of exercises Ben solved = 13 exercises

Ramesh went from place A to place B and then from place B to place CA is 10.8 km from B and place B is 15.5 km from place C, Rahul went from place A to place D and then place D to place C, distance between place A and D is 11.7 km and distance between place D and place C is 18.2 km, Who travelled more distance and by how much, also calculate the total distance between place A and place D and express the total distance in M,CM and KM.​

Answers

Answer:

Part A

Rahul by 3.6 km

Part B

The distance between A and D, through place C, d are;

The distance between A and D in meters, m = 44,500 m

The distance between A and D in centimeters, cm = 4,450,000 cm

The distance between A and D, in kilometers, km = 44.5 km

Step-by-step explanation:

Part A

The details of the journeys are;

The distance of A from B = 10.8 km

The distance of B from C = 15.5 km

The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C

Therefore;

d₁ = 10.8 km + 15.5 km = 26.3 km

The total distance Ramesh traveled, d₁ = 26.3 km

The distances of the journey of Rahul is as follows;

The distance between place A and D = 11.7 km

The distance between place D and C = 18.2 km

The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C

d₂ = 11.7 km + 18.2 km = 29.9 km

The total distance Rahul traveled, d₂ = 29.9 km

Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh

The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km

Therefore;

Rahul travelled more distance than Ramesh by 3.6 km

Part B

The total distance from place A to place D through place C, d₃, is given as follows;

d₃ = The distance from A to B + The distance from B to C + The distance from C to D

∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km

The total distance from place A to place D, d₃ = 44.5 lm

The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m

The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm

please help me i have geo finals​

Answers

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords.

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides

28x + 28 = 24x + 60 ( subtract 24x from both sides )

4x + 28 = 60 ( subtract 28 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

HELPPP ME PLEASEEEE asappp

Answers

Answer:

B.) √3/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For questions like this I recommend memorizing the Unit Circle, but for the sake of calculations here's how I do it using a calculator

cos(30) = 0.866025.....

So now I'll just go through the answers and see which is equivalent

A= 1.73...

B= 0.866025....

C=0.57735....

D=0.5

E=0.7071.....

F=1

You can see that B is equivalent.

George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.

Answers

Answer:

He paid $640 out of his total $3,200 for the month.

As a fraction it is (640/3200) which equals (1/5)

We want it as a percentage so we multiply the fraction by 100.

1/5×100=20%

20% is the final answer.

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Answers

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

what is the value of the expression below?​

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C

if line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Answers

Answer:

what do the lines look like

Step-by-step explanation:

What is the purpose of using a scatterplot? Check all
that apply.
O to organize bivariate data
to plot points to connect a line
to plot points for two sets of data
O to compare dependent and independent variables
O to visualize relationships between data
O to find slope between two variables

Answers

Answer:

to organize bivariate data

to plot points to two sets of data

to compare dependent and independent variables

to visualize relationships between

Step-by-step explanation:

Order the following numbers from least to greatest.
Put the lowest number on the left.

Answers

Answer:

-4, -1, 0, 4

Step-by-step explanation:

[tex]\boxed{ -4 }[/tex] < [tex]\boxed{ -1 }[/tex] < [tex]\boxed{ 0 }[/tex] < [tex]\boxed{ 4 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

The negative numbers [tex]\sf\purple{-4}[/tex] and [tex]\sf\purple{-1}[/tex] are placed on the left side of 0 as they are smaller than 0.

Unlike positive numbers, the negative numbers decreases as we keep moving to the left. Therefore, -1 is greater than -4.

➺ Negative numbers < 0 < Positive numbers.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False

Answers

Answer:

False cuase 5 is in thousands

The point (0,0) is a solution to which of these inequalities?

A.y+5<3x-4

B.y-4<3x-5

C.y-5<3x-4

D.y+5<3x+4

Answers

-5 < -4

So the answer is C

-x^2 = - 36 (solve using inverse operations)

Answers

Answer:

x = ±6

Step-by-step explanation:

-x^2 = - 36

Divide each side by -1

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

I need help in this ( ̄▽ ̄)

Answers

Answer:

Step-by-step explanation:

a=-2.9

b=-2 5/8=-21/8=-2.625

c=-7/3=-2.333333

4,-7 -1,5 what’s the midpoint

Answers

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

Midpoint:  x,m , y,m =  ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex])    = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment -  ([tex]x_{m} , y_{m}[/tex]) = (4,5)

Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34

Answers

Answer: d. $16.34

Step-by-step explanation:

The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.

Luce therefore has a federal tax of $86 as she falls in the bracket described.

If state tax is 19% of this, state tax is:

= 19% * 86

= $16.34

The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

What is federal income tax?

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there  .

A 9-column table with 7 rows is given in the prooblem.

Luce is single and making $763 biweekly. She claims no federal withholding allowances.

This amount is come between the values of $760 and $780.  If we look into the table provided into the problem, the federal tax for this slab is $86.  

Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,

[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]

Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

Learn more about the federal income tax here;

https://brainly.com/question/25504589

Which radical expression, when simplified, equals -8?

Answers

Answer:

Where are the radical expressions?

Step-by-step explanation:

I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees

Answers

Answer:

x = 78° , y = 115°

Step-by-step explanation:

The angle adjacent to x on the left side is corresponding to 102° , then

x = 180° - 102° = 78°

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

y and 115° are corresponding angles and congruent, then

y = 115°

Which of the following does (square root f^2) simplify to, for any nonnegative real number f?

Answers

Answer:A

Step-by-step explanation:

Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answers

AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.

14. A polygon ABCD is inscribed in a circle. Find angle ABC

15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG

Answers

Answer:

m<ABC = 100degrees

m<IJG = 104degrees

Step-by-step explanation:

14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;

m<ADC + m<ABC = 180

3y+8+4y+4 = 180

7y + 12 = 180

7y = 180 - 12

7y = 168

y = 168/7

y = 24

Get <ABC

m<ABC  = 4y+4

m<ABC = 4(24) + 4

m<ABC = 96 + 4

m<ABC = 100degrees

15. Similarly for this;

GHI + IJG = 180

76 + m<IJG = 180

m<IJG = 180 - 76

m<IJG = 104degrees

Simplify the expressions. 3p+-q-7r--8p-q+2r

Answers

Answer:

=11p-5r

Step-by-step explanation:

3p+(-q)-7r-(-8p)-q+2r=

3p-q-7r+8p-q+2r=

3p+8p-q-q-7r+2r=

11p-5r=

please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!

Answers

Answer: I am sorta answering this on my alt, just move along

Step-by-step explanation:

The whole lenght is the short length 9 and the long length 18 added.

helppp plsss 1 hr left

Answers

Answer:

the first one should be correct

Help me plssss? Thanks

Answers

Answer:

B

Step-by-step explanation:

what is 11010^2 - 1101^2​

Answers

Answer:

-120,007,899

Step-by-step explanation:

Given :

[tex]11010^{2} -1101^{2}[/tex]

It can be solved as :

[tex]11010^{2} -1101^{2}[/tex]

121,220,100-1212201

-120,007,899

Therefore, answer will be -120,007,899

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{11,010^2 - 1,101^2}[/tex]

[tex]\mathsf{11,010^2}[/tex]

[tex]\mathsf{= 11,010 \times 11,010}[/tex]

[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]

[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]

[tex]\mathsf{1,101^2}[/tex]

[tex]\mathsf{= 1,101 \times 1,101}[/tex]

[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]

[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]

[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.​

Answers

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour

Speed=distance/time

-change time from minutes to hours:
140= 2hours 20= 2.333

Speed=98/2.333
= 42 km/h

I think?

The equation 3x² - 4x + 6 = 0 has the roots α and β . Find the new equation with the roots (α/β²) and (β/α²) .

Answers

Answer:

[tex]{ \tt{sum = \alpha + \beta = \frac{4}{3} }} \\ { \tt{product = \alpha \beta = \frac{6}{3} = 2}} \\ \\ new \: roots : \\ { \bf{sum = \frac{ \alpha }{ { \beta }^{2} } + \frac{ \beta }{ { \alpha }^{2} } }} \\ \\ { \bf{ = \frac{ { \beta }^{2} \alpha + { \alpha }^{2} \beta }{ { (\alpha \beta )}^{2} } }} \\ \\ = { \bf{ \frac{ \alpha \beta ( \alpha + \beta )}{ {( \alpha \beta )}^{2} } }} \\ \\ = { \tt{ \frac{2( \frac{4}{3}) }{2 {}^{2} } }} \\ \\ sum = \frac{2}{3} \\ \\ { \bf{product = \frac{1}{ \alpha \beta }}} \\ = \frac{1}{2} \\ \\ { \boxed{ \tt{equation : {2x}^{2} + \frac{4}{3} x + 1 }}}[/tex]

In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?​

Answers

7

Hope this helps! :)

______________

Answer:

very easy there are 42 students because every student needs a bookmark for each of their groupmates

Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30


whoever answer this first gets 30 points​

Answers

Answer:

-3x+30

Step-by-step explanation:

[tex]4\left(x+7\right)-7x+2[/tex]

Expand [tex]4(x+7)= 4x+28[/tex]

[tex]4x+28-7x+2[/tex]

Simplify [tex]4x+28-7x+2[/tex]

[tex]-3x+30[/tex]

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