The prerequisite for a required course is that students must have taken either course a or course b. by the time they are juniors, 51% of the students have taken course a, 25 % have had course b, and 12% have done both. a) what percent of the juniors are ineligible for the course? b) what's the probability that a junior who has taken course a has also taken course b? c) are taking these two courses disjoint events? explain. d) are taking these two courses independent events? explain.

Efficient homemakers ltd. makes canvas wallets and leather wallets as part of a money-making project. for the canvas wallets, they need two yards of canvas and two yards of leather. for the leather wallets, they need four yards of leather and three yards of canvas. their production unit has purchased 44 yards of leather and 40 yards of canvas. let x be the number of leather wallets and y be the number of canvas wallets. draw the graph showing the feasible region to represent the number of the leather and canvas wallets that can be produced.