The constraints of a problem are listed below. What are the vertices of the feasible region? 4x+3y s 12

2x+by s 15

x>0

y>0

(0,0), (0, 2.5), (1.5, 2), (3, 0)

(0, 0), (0, 4), (1.5, 2), (7.5, 0)

(0,2.5), (1.5, 2), (4,3)

(0,4), (1.5, 2), (7.5, 0)

Leo is going to use a random number generator 4 0 0 400 times. each time he uses it, he will get a 1 , 2 , 3 , 4 , 1,2,3,4, or 5 5. what is the best prediction for the number of times that leo will get an odd number?

What value of x will make the triangles similar by the sss similarity theorem?

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.)