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
alexdok [17]
3 years ago
5

According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce

ntimeters and a standard deviation of 1.2 centimeters. In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

22.66% of women in the United States will wear a size 6 or​ smaller

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 problem, we have that:

\mu = 23.3, \sigma = 1.2

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

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

Z = \frac{22.4 - 23.3}{1.2}

Z = -0.75

Z = -0.75 has a pvalue of 0.2266

22.66% of women in the United States will wear a size 6 or​ smaller

You might be interested in
The following table shows the probability of rolling the numbers 1 through 7
Marysya12 [62]

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

\frac{1+2+3+4+5+6+7}{7}=4

The second moment is..

\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20

\sqrt{20-4^2}=2

4 0
3 years ago
A car travels a distance of 50 km in 30 minutes. what is the average speed​
maks197457 [2]

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

7 0
3 years ago
Am I right please tell me I really NEED IT
AlladinOne [14]

Answer:

it would 13

Step-by-step explanation:

19-6=13 there you go

5 0
3 years ago
Tammy bought a nightstand that was marked down 60% from an original price of $50. If she paid 10% sales tax, what was the total
AURORKA [14]

Answer: the total cost of the nightstand is $22

Step-by-step explanation:

The original price of the night stand is $50. If the original price of the night stand was marked down by 60%, it means that the amount of money by which it was reduced would be

60/100 × 50 = 0.6 × 50 = 30

The new selling price would be

50 - 30 = $20

If she paid 10% sales tax,the amount of tax paid would be

10/100 × 20 = 0.1 × 20 = 2

Therefore, the total cost of the nightstand would be

20 + 2 = $22

7 0
3 years ago
What is the value of 9p5?
ICE Princess25 [194]
9.5 is correct (:(:(:
6 0
3 years ago
Other questions:
  • The volume of a sphere is 36Ï€ in³. what is the radius of the sphere?
    15·1 answer
  • Fred is going to take a flight from Miami, Florida, to San Francisco, California.
    7·1 answer
  • Write 5x^2 with out exponents ​
    12·2 answers
  • FAST I NEED THE ANSWER
    5·1 answer
  • What type of graph is best to use to show data that are parts of a whole?
    12·1 answer
  • If two lines are parallel, their slopes will be the same. The slope is represented by the m in y=mx+b
    6·1 answer
  • If 3 sisters receive $180 and split it so that the middle sister gets twice as much as the youngest sister and the oldest sister
    8·1 answer
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    12·1 answer
  • How do you do this <br> I don’t get it
    11·1 answer
  • Word form for 100,002
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!