Given: p: student achieves 90 percent on the geometry final. q: student will receive a passing grade in geometry class. which statement is logically equivalent to q → p? if a student achieves 90 percent on the geometry final, then the student will pass geometry class. if a student passes geometry class, then the student achieved 90 percent on the geometry final. if a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class. if a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.

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 number completes the inequality? 2/3 < _ < 7/9

Arectangle has a width of 5 cm and a length of 10 cm. if the width is increased by 3, how does the perimeter change?