Two subsets of set S = {1, 2, 3, 4, 5} are to be selected. How many ways can these
two subsets be selected so that their union
is set S and their intersection contains ex-
actly two elements?

Arandom sample of 240 park users were asked if they go to the park more often on weekdays or on the weekend. the results are shown in the table. weekdays weekend male 50 10 female 150 30 based on the data in the table, select correct or incorrect for each statement. correct incorrect the males go to the park more often on the weekend. the females go to the park more often on weekdays. for the participants in the survey, gender affects which days of the week a person goes to the park.

The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.