Select the correct answer from each drop-down menu. José and Manuel are soccer players who both play center forward for their respective teams. The table shows the total number of goals they each scored in each of the past 10 seasons.

Season José Manuel
1 7 17
2 12 23
3 17 21
4 4 31
5 18 30
6 25 5
7 38 26
8 32 37
9 37 19
10 11 9
The measure of center that best represents the data is
__?__ and its values for José and Manuel are
and
__?__, respectively. Comparing this measure of center for José’s and Manuel's data sets shows that
__?__ generally scores more goals in a game.

What is the length of the unknown leg in the right triangle ?

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =

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.