Suppose that you are a genetic counselor, and a couple seeks your advice about bht tasting (people who can taste bht in processed food are recessive homozygotes for the "taster" allele and nontasters are homozygous dominant or heterozygous for the "nontaster" allele). both prospective parents are nontasters, but a careful analysis of the husband's pedigree reveals that he is a carrier of the taster allele. the two alleles are in hardy-weinberg equilibrium, and the proportion of bht tasters in the population is 16 percent. what is the probability that the couple's first child will be a nontaster of bht?

yes

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answer: y=4000x+14000

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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