A manufacturer of flea collars for animals injects the collars with 15 milligrams of a medicine that only acts on fleas. The manufacturer will only sell collars with 14 milligrams and no more than 16 milligrams of medicine. The following list shows the result of sampling 36 collars from an actual
production run of 720 collars.
17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13,
13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15
A) Based on this sample, what percent of the collars would be acceptable? Explain how you got your answer.
B) Based on this sample, how many collars would you expect the manufacturer to reject?

1/3 + 1/5 = 8/15.

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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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22

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22