Answer:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:
8 out of the 20 teams in the sample had a season winning percentage better than 0.500. This means that
.
95% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Answer:
If production is to be maximized, Jerry should build fences and Tom should make dishes.
Step-by-step explanation:
Tom can build more fences per day than Jerry, and Jerry can make more dishes per day than Tom. Each has his special skill, and production will be maximized when that special skill is utilized.
The height of the dome of the building is given by
. The quantity in the square root should be greater than or equal to 0. We need
.
So the domain is 
Answer:
Charles wanted to buy a new guitar, so Charles saved his money for three months