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
Alekssandra [29.7K]
3 years ago
10

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U

sing the empirical rule, what percentage of American women have shoe sizes that are greater than 11.47? Please do not round your answer.
Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

You might be interested in
The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied t
mote1985 [20]
<span>3)shifted right 7 units</span>
3 0
3 years ago
Read 2 more answers
What is the volume of a hemisphere with a radius of 29 m, rounded to the nearest tenth of a cubic meter?
salantis [7]

Answer:

19.4 cubic meter

Step-by-step explanation

Round your answer to the nearest tenth of a cubic centimeter.

4 0
3 years ago
Similar shapes are always congruent true or false?
ValentinkaMS [17]

Answer:

FALSE

Step-by-step explanation:

4 0
3 years ago
ANSWER ASAP
Dmitrij [34]

Answer:

The correct answer is D

Step-by-step explanation:

hope it helps :)

6 0
2 years ago
Find the domain of the graphed function. (Please help me)
mel-nik [20]

Answer:

Step-by-step explanation:

I belive it is a .

8 0
3 years ago
Other questions:
  • 1.05055 trillion divided by 6.005 billion<br><br>Free Points
    14·2 answers
  • Increased movement of the particles in a solid comes from increased ________.
    15·1 answer
  • Greatest to least 3.008 3.825 3.09 3.18
    9·1 answer
  • ANSWER THIS THANK YOU ✔✔
    6·1 answer
  • How do you simplify (-4i)(7i)?
    14·2 answers
  • Y = -2x + 3 and y = 3x + 7 How do the slopes and y-intercepts of the two equations compare ?
    14·1 answer
  • ) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2,
    5·1 answer
  • Kiran says we should add the constraint 1 is greater than or less than 0
    6·1 answer
  • PLEASE PLEASE HELP IM BEGGING
    7·1 answer
  • 3) 4) Krista’s mom has told her she need to make the pen 1 2 the size that she had planned (5 feet long by 4 1 2 feet wide). Wha
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!