1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmasim [6.3K]
3 years ago
9

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of

time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

You might be interested in
What is the distance between (-6, 8) and (-3,9)?
vivado [14]

Answer:

is \sqrt{10}

Step-by-step explanation:

var x = +3 (one side of right angled triangle)

var y = +1 (the other side of the right angled triangle)

Use the Pythagoras' Theorem.

3² + 1² = 10

6 0
3 years ago
PLEASE HELP ASAP, WILL GIVE BRAINLIEST!
mojhsa [17]

Answer:6

Step-by-step explanation:

since it is A half circle it is the hhalf Value of the area of the full circle

3 0
2 years ago
Read 2 more answers
F(x)=2x + 1 and g(x) = -3x+4. Find f(x) + g(x)
Aneli [31]
To do this, simply add the 2 functions-as it says:

(2x+1) + (-3x+4)
2x+1-3x-4
-x-3

Your answer is -x-3
5 0
3 years ago
Please answer question now
nata0808 [166]

Answer:

469.42 ft²

Step-by-step explanation:

  • Law of sines;

         w/sin27 = 38/sin40

                   w = sin27*38/sin40

                    w = 26.84 ft

  • Angle x;

            ∡X = 180 - 27- 40 = 113º

  • Area;

              A = 0.5*(26.84)*(38)*sin(113)

            A = 469.42 ft²

8 0
3 years ago
Joslyn wants to buy 4 packs of pens for 12$ each and a pack of pencils for 6$ how much money does she need
Tcecarenko [31]
Just multiply 4*12 and add 6.
answer =54
6 0
3 years ago
Other questions:
  • A ship travels due north for 100 miles from point C to point A. From point A the ship travels to point B at 60° east of north. F
    15·1 answer
  • In a sample of 800 adults, 214 think that most celebrities are good role models. Two us adults are selected from this sample wit
    12·1 answer
  • What is the answer to 8y - 1 = 31
    13·1 answer
  • The ratio of adults to children at a concert is expected to be 2 to 5. If 200 people attend, how many are expected to be childre
    14·1 answer
  • I am a rectangular, and my area is 80 squares inches. My width is 2 inches shorter than my length . What is muy perimeter ?
    11·1 answer
  • Shawn knows that the 6-digit number he uses to open his computer is the prime factorization of 5005. If each digit of the code i
    14·2 answers
  • What mathematical operation is used in a check register when a withdrawal is made?
    9·1 answer
  • What is 3 times 3/11 ??????​
    5·2 answers
  • The area of this shape is
    5·2 answers
  • Write each decimal or fraction as a percent round to the nearest 10th of a part of a percent where necessary 0.72
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!