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
serious [3.7K]
3 years ago
11

The duration of shoppers' time in Browse Wrld's new retail outlets is normally distributed with a mean of 27.8 minutes and a sta

ndard deviation of 11.4 minutes. How long must a visit be to put a shopper in the longest 10 percent
Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

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

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that \mu = 27.8, \sigma = 11.4

How long must a visit be to put a shopper in the longest 10 percent?

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

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

1.28 = \frac{X - 27.8}{11.4}

X - 27.8 = 1.28*11.4

X = 42.39

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

You might be interested in
Please help me. any help will be great:)
Cloud [144]
It is 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555
6 0
2 years ago
Suzy is starting a babysitting buisness. She spent $ 36 to make signs to advertise. She charges and intial fee of $ 6 and then $
timofeeve [1]

Answer:

3h - 30 > 0

h > 10

Step-by-step explanation:

To make a profit, subtract $36 in cost from the income coming in.

She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.

Subtract 36 from it to find the profit.

3h + 6 - 36

3h - 30

To make a profit, she needs to make more than $0 or > 0.

3h - 30 > 0

Solve using inverse operations.

3h - 30 > 0

3h > 30

h > 10

3 0
3 years ago
Rewrite the equation by completing the square.<br>x^2-2x+1=0​
kaheart [24]

Answer:

(x - 1)² = 0

Step-by-step explanation:

Given

x² - 2x + 1 = 0 ( subtract 1 from both sides )

x² - 2x = - 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = - 1 + 1

(x - 1)² = 0

5 0
3 years ago
Evaluate (f + g)(x) if f(x) = 2x and g(x) = 3X - 2<br> when x = 3
77julia77 [94]

Answer:

13

Step-by-step explanation:

→ Substitute 3 into 2x

2 × 3

→ Evaluate

f ( x ) = 6

→ Substitute x = 3 into 3x - 2

3 × 3 - 2

→ Evaluate

7

→ Find the sum of the 2 results

13

7 0
1 year ago
Ollie won 2 games for every 5 games that Noelle won. If Noelle won 15 more
Dmitrij [34]

Answer:

6

Step-by-step explanation:

2:5, 4:10, 6:15

5 0
3 years ago
Other questions:
  • HELP ME PLEASE!!!!
    5·1 answer
  • ???? Answer please anyone
    8·1 answer
  • Help me like now, ty &lt;3
    8·1 answer
  • Can you plz help me with this 2.25f+5=13.5f+14​
    5·1 answer
  • The zero-product principle states that if AB = 0, then
    13·1 answer
  • Complete the ratio<br> 4 : 32 = 1 : ?
    9·2 answers
  • 8( -4 - 9h) I REALLY REALLY REALLY NEED HELP PLEASE HELP
    5·2 answers
  • Sebastian rides his bike 2000 meters in 5 minutes. How many meters does he bike in 1 minute?
    11·2 answers
  • Fill in the blanks of the sentence.
    13·1 answer
  • Salma just bought 9 bags of 13 cookies each. She already had 8 cookies in a jar. How many cookies does Salma have now?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!