Which values are solutions? check all that apply

The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approxi

VikaD [51]

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 $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 $\mu = 480, \sigma = 20$

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?

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

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 480}{20}$

$X - 480 = 1.645*20$

$X = 512.9$

$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

5 0

3 years ago

this month salespersons a made 11% of $67,530. salesperson b made 8% of $85,740. who made more commission this month? how much d

Paul [167]

Salesperson A made $7428.30
Salesperson B made $6859.20
Salesperson A made more commission this month and made $7428.30

7 0

4 years ago

Read 2 more answers

46. PROBLEM SOLVING Tatami mats are used as a floor

Brut [27]

Answer:

Part A) The area of one rectangular mat is 18 ft^2

Part B) The length of the rectangular mat is 6 ft and the width is 3 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Part A) Write and solve an equation to find the area of one rectangular mat.

Let

x ------> the area of a square mat

y ------> the area of one rectangular mat

we know that

$x+4y=81$ -----> equation A

$x=\frac{1}{2} y$ -----> equation B

substitute equation B in equation A and solve for y

$\frac{1}{2}y+4y=81$

$\frac{9}{2}y=81$

$y=81*2/9=18\ ft^2$

therefore

The area of one rectangular mat is 18 ft^2

Part B) The length of a rectangular mat is twice the width. Find the dimensions of one rectangular mat.

Let

L -----> the length of rectangular mat

W -----> the width of rectangular mat

The area of rectangular mat is

$A=LW$

$A=18\ ft^2$

so

$18=LW$ ----> equation A

$L=2W$ -----> equation B

substitute equation B in equation A and solve for W

$18=(2W)W$

$18=2w^2$

Simplify

$9=w^2$

square root both sides

$W=3\ ft$

Find the value of L

$L=2(3)=6\ ft$

therefore

The length of the rectangular mat is 6 ft and the width is 3 ft

8 0

3 years ago

1,000,000 divided by 6500 i will mark brainlest

Sveta_85 [38]

Answer:

153.846153846

Step-by-step explanation:

{\__/}

( • . •) want this cookie?

/ >

{\__/}

( • - •)

< \ just kidding its for me

5 0

3 years ago

Margie and four friends are eating lunch at a restaurant. The total bill is $52.50 before tax and tip. Margie has a coupon good

hodyreva [135]

52.50....before tax and discount (don't see anything about a tip)
has a $ 10 off coupon..
52.50 - 10 = 42.50...this is the discount amount
has a 6% sales tax
0.06(42.50) = 2.55...this is the sales tax
for a total of : 42.50 + 2.55 = 45.05 <==

7 0

3 years ago