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
zheka24 [161]
2 years ago
12

Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o

f 2 years. Find the replacement time that separates the top 18% from the bottom 82%.
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
6 0

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by \mu = 9.4, \sigma = 2.

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

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

0.915 = \frac{X - 9.4}{2}

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

You might be interested in
Need help with math pls no links
labwork [276]

Answer:

A

Step-by-step explanation:

2 is the only acute angle meaning less than 90 degrees.

8 0
2 years ago
Read 2 more answers
NEED HELP! The endpoints of WX are W(2,-7) and X(5,-4).
jeyben [28]

Answer:

3√2 or 4.24

Step-by-step explanation:

d(w,x) = √(5-2)² + (-4-(-7))² = √18 = 3√2               (4.24)

3 0
3 years ago
Which of the following is the greatest unit rate? *
Brrunno [24]

Answer:

It is the last one. (16 for 2 tickets)

Step-by-step explanation:

To make it a unit fraction you have to divide the denominator by itself to get 1. 2 divided by 2 equals 1. To keep the fraction equivalent divide the numerator by 2 as well. That equals 8. This makes the unit rate

1/8 Which is the biggest

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to ( 4 1/3)^3 ?
shutvik [7]
(13/3)^3 or (13/3)•(13/3)•(13/3)
5 0
3 years ago
11r + 7s written form plz i need help
charle [14.2K]

Answer:

eleven r plus seven s

Step-by-step explanation:

thats the written form

8 0
3 years ago
Other questions:
  • Can the side lengths 10,4,19 make a triangle?
    8·2 answers
  • Change this radical to an algebraic expression with fractional exponents 3√a
    15·1 answer
  • A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. you have a cho
    12·1 answer
  • Simplify 2 + 3/5x - 1 - 1/5x
    14·1 answer
  • 2/3 of all the people who attended a certain party arrived by 8:00 PM. How many people arrived by 8:00 PM?
    14·1 answer
  • Tom viaja 60 millas por hora yendo a una ciudad vecina y 50 millas por hora regresando usando la misma carretera. condujo un tot
    15·1 answer
  • Traci has four blue pens and three red pens. She has twice as many black pens as blue pens. What fraction represents the number
    8·2 answers
  • Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe
    6·1 answer
  • What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2?
    5·1 answer
  • Can some please tell me the answer pleaseee ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!