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
kap26 [50]
2 years ago
9

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than

10 minutes, the customer will be upset. Find the probability that a randomly selected customer takes more than 10 minutes if the average is 7.45 minutes with a standard deviation of 1.52 minutes.
Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this question, we have that:

\mu = 7.45, \sigma = 1.52

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

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

Z = \frac{10 - 7.45}{1.52}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

1 - 0.9535 = 0.0465

4.65% probability that a randomly selected customer takes more than 10 minutes

You might be interested in
.The endpoints of AB are A(1,4) and B(6,-1).
Brums [2.3K]

Answer:

5√2

Step-by-step explanation:

<u>Finding</u><u> </u><u>distance</u><u> </u><u>:</u><u>-</u><u> </u>

  • d = √{ ( 1 -6)² + (4+1)²}
  • d = √{ -5² + 5² }
  • d = √{ 25 + 25}
  • d = √50
  • d = 5√2
4 0
2 years ago
What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?
WINSTONCH [101]

Given:

The polynomials are:

3x^2y^2-2xy^5

-3x^2y^2+3x^2y^2+3x^4y

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

3x^2y^2-2xy^5

-3x^2y^2+3x^2y^2+3x^4y

The sum of given polynomials is:

Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y

Sum=-2xy^5+3x^4y+3x^2y^2

Therefore, the sum of the given polynomials is -2xy^5+3x^4y+3x^2y^2. It is a polynomial with degree 6 and leading coefficient -2.

5 0
2 years ago
Write as a mixed number 98/5
Reptile [31]

Answer:

The answer is 19.6 or 1 9/6 hope this helps!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please please please help I'm wayyyy behind and I need a REAL answer, please
erastovalidia [21]
It is easy, Salesman B
8 0
3 years ago
Read 2 more answers
For which mapped relation is the domain {1,2,3}?
pav-90 [236]
D

The domain is the x values, so the right side of the circle are the x’s.
7 0
3 years ago
Other questions:
  • The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1
    9·1 answer
  • Serena is making a large meatloaf that contains ground beef and ground pork. The beef is 3.50 per pound and the pork is 2.00 per
    6·1 answer
  • Help. Only #21 thanks
    13·1 answer
  • Leila writes 6 pages per day starting on Sunday. She wants to know how many pages she will write by the end of the day on Saturd
    11·1 answer
  • Need help with algebra 2!
    5·1 answer
  • A researcher identifies a sample of teenagers and chooses two males, age 16
    8·1 answer
  • Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?​
    10·1 answer
  • Ms Kowal invests £6000 in a simple interest account. After 5 years her investment has earned £450 interest. What rate of interes
    8·1 answer
  • What is (-2)( 3 4/7)<br><br> A)-7 1/6<br><br> B)-6 6/7<br><br> C)-2 3/7<br><br> D)-1 2/7
    13·1 answer
  • Please help me with this math problem!! :)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!