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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
The image that has the 10N forward force alone is the fastest while the image that has the 10N forward force and two 5N backward forces is the slowest.
<h3>What is acceleration?</h3>The term acceleration refers to the change of velocity with time. The acceleration of a body depends on the mass of the body and the force acting on it.
Looking at the image attached, the image that has the 10N forward force alone is the fastest while the image that has the 10N forward force and two 5N backward forces is the slowest.
Learn more about acceleration: brainly.com/question/12134554
