Answer:

Step-by-step explanation:
To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

Answer:
42.86% and 61.91%
Step-by-step explanation:
90/210=9/21=42.86%
130/210=13/21=61.91%
Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e.

Since , 
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e.

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:

During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:

Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:

Bethany did not do better than Richie because her average score was less than his.