Find the volume of the composite figure. First, find the volume of the cylinder. Use 3.14 for TC. 9 cm 6 cm 9 cm 4 cm Total Volume of Composite Figure = [ ]cm '9 cm Cylinder Volume = [?] cm
Cube Volume = []cm

6 cm 9 cm 4 cm Total Volume of Composite Figure = [ ]cm '9 cm​

a)

b)

c) The woman 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.

a) What is the z-score for a woman who is 6 feet tall? Please use 2 decimal places.

The heights of women aged 20 to 29 are approximately Normal with mean 61 inches and standard deviation 2.5 inches, which means that .

The mean and the standard deviation are in inches, so X is also must be in inches. Each feet has 12 inches. So X = 6*12 = 72 inches.

(b) What is the z-score for a man who is 6 feet tall? Please use 2 decimal places.

Men the same age have mean height 71 inches with standard deviation 2.6 inches, which means that

The mean and the standard deviation are in inches, so X is also must be in inches. Each feet has 12 inches. So X = 6*12 = 72 inches.

(c) Who is relatively taller?

The woman has the higher z-score, so she is relatively taller.