Radioactive fallout from testing atomic bombs drifted across a region. there were 210 people in the region at the time and 36 of them eventually died of cancer. cancer experts estimate that one would expect only about 33 cancer deaths in a group this size. assume the sample is a typical group of people. a) is the death rate observed in the group unusually high? b) does this prove that exposure to radiation increases the risk of cancer?

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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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