Acoin is to be tossed as many times as necessary to turn up one head. thus the elements c of the sample space c are h, th, tth, ttth, and so forth. let the probability set function p assign to these elements the respective probabilities 1 2 , 1 4 , 1 8 , 1 16 , and so forth. show that p(c) = 1. let c1 = {c : c is h, th, tth, ttth, or h}. compute p(c1). next, suppose that c2 = {c : c is h or h}. compute p(c2), p(c1 ∩ c2), and p(c1 ∪ c2).

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.

M? aoc=96 ? space, m, angle, a, o, c, equals, 96, degree \qquad m \angle boc = 8x - 67^\circm? boc=8x? 67 ? space, m, angle, b, o, c, equals, 8, x, minus, 67, degree \qquad m \angle aob = 9x - 75^\circm? aob=9x? 75 ? space, m, angle, a, o, b, equals, 9, x, minus, 75, degree find m\angle bocm? bocm, angle, b, o, c:

Two numbers have a sum of 93. if one number is p, express the other number in terms of p.