A coach uses a new technique in training middle distance runners. The times for 9 randomly selected, independent athletes to run 800 meters before and after this training are shown below. Assume the distribution of differences are normally distributed Before 115.2 120.9 108.0 112.4 107.5 119.1 121.3 110.8 122.3

After 116.0 119.1 105.1 111.9 109.1 115.1 118.5 110.7 120.9

Build and Interpret 90% confidence interval for the true mean difference in 800-meter times.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Angles r and s are complementary. the measure of angle r is 31 degrees. which equation can be used to find angle s?

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?