1) A survey of 180 college men was taken to determine participation in various campus activities. Forty-three students were in fraternities, 52 participated in campus sports, and 35 participated in various campus tutorial programs. Thirteen students participated in fraternities and sports, 14 in sports and tutorial programs, and 12 in fraternities and tutorial programs. Five students participated in all three activities.
Of those surveyed,
1. How many participated in only campus sports?
2. How many participated in fraternities and sports, but not tutorial programs?
3. How many participated in fraternities or sports, but not tutorial programs?
4. How many participated in exactly one of these activities?
5. How many participated in at least two of these activities?
6. How many did not participate in any of the three activities?
2) Company A pays $23,000 yearly with raises of $1200 per year. Company B pays $26,000 yearly with raises of $800 per year. Which company will pay more in year 10? How much more? (Do NOT include dollar signs)
3) Two accounts each began with a deposit of $10,000. Both accounts have rates of 6.5%, but one account compounds interest once a year while the other account compounds interest continuously. Make a table that shows the amount in each account and the interest earned after one year, five, years, ten years, and 20 years. (Round ALL values to nearest Dollar AND Do NOT include Dollar Signs)
4) What is the cost of concrete for a walkway that is 15 feet long, 8 feet wide, and 9 inches deep if the concrete costs $30 per cubic yard? (Do NOT round until the FINAL Answer AND Do NOT include a Dollar Sign)?
5) Use the data below to solve these exercises:
|
Country
|
% Who Are Literate (x)
|
% Who Are Undernourished (y)
|
|
Cuba
|
100
|
2
|
|
Egypt
|
71
|
4
|
|
Ethiopia
|
36
|
46
|
|
Grenada
|
96
|
7
|
|
Italy
|
98
|
2
|
|
Jamaica
|
80
|
9
|
|
Jordan
|
91
|
6
|
|
Pakistan
|
50
|
24
|
|
Russia
|
99
|
3
|
|
Togo
|
53
|
24
|
|
Uganda
|
67
|
19
|
a. Determine the correlation coefficient, rounded to two decimal places, between percentage of people in a country who are literate and the percentage who are undernourished.
b. Find the equation of the regression line for the percentage who are literate and the percentage who are undernourished. Round "m" and "b" to two decimal places.
c. What percentage of people, to the nearest percent, can we anticipate are undernourished in a country where 60% of the people are literate?