The dimensions of Juan’s living room are 14 feet by 20 feet. Juan wants the rug to be at least 3 feet away from each wall. He found a rug at the furniture store, but the only measurement identified on the rug is the length of its diagonal, 21 feet. Will this rug work in Juan’s living room? Use diagrams, numbers and/or words to explain your answer.

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.)