In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice.

The 75-inch man has the higher z-score, so he is relatively taller.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

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.

Who is taller?

Whoever has the higher z-score.

75-inch man

In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.1 inches.

This means that .

We want Z when X = 75.

70-inch woman

The average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches.

This means that

We want Z when X = 70.

The 75-inch man has the higher z-score, so he is relatively taller.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq