In the United States, the mean and standard deviation of adult men's heights are 70 inches (5 feet 10 inches) and 4 inches, respectively. Suppose the American adult men's heights have a normal distribution Whe probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:. (round off to fourth decimal place, use the given table) a. 0.6853
b. 0.0062
c. 0.3085
d.0.6915
e. None of these

And we can find this probability using the complement rule and the normal standard table:

And the best solution would be:

c. 0.3085

Step-by-step explanation:

For this case we can convert all the values to inches in order to standardize the solution:

Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

We can use the z score formula given by:

Using this formula we got:

And we can find this probability using the complement rule and the normal standard table:

And the best solution would be:

c. 0.3085

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

b) well because you get well