The international man of mystery knew the finest haberdashers the world over and constantly sought to expand his dazzling array of fine suits, ties, and cufflinks. closet space was at a premium however, so purchases were carefully weighed. each suit provides 23 units of dazzlement, each tie 14, and a set of cufflinks is worth an easy 8. a suit takes up 0.5 cubic feet of closet space and $900 of budget. a tie costs $135 and cufflinks cost $100 per set. cufflinks are tiny — even in the original box, they take up only .01 cubic feet while ties occupy a lusty .25 cubic feet. he has budgeted $12,000 for clothes on this trip and has 20 cubic feet of closet space left to fill. formulate an objective function and constraints to model this situation.

If eh = hg and hg=16, find the diameter of k

Two triangles can be formed with the given information. use the law of sines to solve the triangles. b = 49°, a = 16, b = 14

2.12 school absences. data collected at elementary schools in dekalb county, ga suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness.61 (a) what is the probability that a student chosen at random doesn’t miss any days of school due to sickness this year? (b) what is the probability that a student chosen at random misses no more than one day? (c) what is the probability that a student chosen at random misses at least one day? (d) if a parent has two kids at a dekalb county elementary school, what is the probability that neither kid will miss any school? note any assumption you must make to answer this question. (e) if a parent has two kids at a dekalb county elementary school, what is the probability that both kids will miss some school, i.e. at least one day? note any assumption you make.