Using the normal distribution, it is found that 0.0764 = 7.64% of teenagers who will have waist sizes greater than 31 inches.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It 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, which is the percentile of X.
In this problem:
- The mean is of
.
- The standard deviation is of
.
The proportion of teenagers who will have waist sizes greater than 31 inches is <u>1 subtracted by the p-value of Z when X = 31</u>, hence:



has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
0.0764 = 7.64% of teenagers who will have waist sizes greater than 31 inches.
More can be learned about the normal distribution at brainly.com/question/24663213
Enzymes are proteins but not all proteins are enzymes.
Answer:
Carbon Dioxide (CO2) is a chemical compound consisting of one carbon atom and two oxygen atoms. ... Carbon Monoxide (CO) is a chemical compound which contains one carbon atom and one oxygen atom and is also a colourless and odourless gas. Unlike CO2, it is entirely human-made and is not naturally present in the atmosphere.
Explanation:
Answer:
In order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of paint thinner
Explanation:
The given parameters are;
The number of parts of thinner used to create 5 parts of paint mixture = 1 part
The amount of paint the painter has = 12 ounces
The amount of thinner is given by the relation;
Ratio of thinner to paint mixture = 1:5
Which gives, 1 part of thinner is required for 5 parts of paint mixture
1/5 parts of thinner is required for 1 part of paint mixture
Therefore, 12/5 or 2.4 parts of thinner will be required for 12 parts of paint mixture
Which gives;
2.4 ounces of thinner will be required for 12 ounces of paint mixture
Therefore, in order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of thinner.