Starting from the point (0,0), a grasshopper makes a series of moves on the coordinate plane. the grasshopper's first move takes her to (3,4). she then proceeds via this rule:
move rule: after a move which adds (x, y) to the grasshopper's coordinates, her next move adds either (x, y-1) or (x-1,y) to her coordinates.
thus, her second move adds either (3,3) or (2,4) to her position, landing her at (6,7) or (5,8) accordingly.
if the grasshopper's x and y coordinates never decrease, and if she ends at the point (a, a) where a is as large as possible, then what is the value of a?

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.)

Hi, can anyone show me how to do this problem? 100 points for this. in advance

Oliver read for 450 minutes this month his goal was to read for 10% more minutes next month if all of her medicine go how many minutes will you read all during the next two months