Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?

a) −5x − 7 < −22 and −5x − 7 ≥ −3
b) −5x − 7 > −22 and −5x − 7 ≥ −3
c) −5x > −22 and −7 ≥ −3
d) −5x − 7 < −22 and −5x − 7 ≤ −3

On a piece of paper graph f(x)=5•(0.4)^x

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.)

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil