What is the largest number of people who could own a dog and a cat, based on the given information? Explain your reasoning. (b) (4 points) Suppose there are a total of 40 people at the meeting. What number of people who own both dog(s) and cat(s) is guaran- teed? Explain your reasoning. c

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.)

Which expression is equal to (21)(7)(3x) using the associative property? (21 · 7 · 3)x (7)(21)(3x) 32(7 + 3x) (3x)(7)(21)

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a> 1