Statistical Abstracts (117th edition) provides information about state per capita income taxes. The distribution is mound shaped with mean  = $1,701 and standard deviation  = $672.

(a) Use the empirical rule to find an interval centered about the mean in which about 68% of the data will fall.

(b) Estimate a range of values centered about the mean in which about 95% of the state per capita income taxes will fall.

1/5x+9 2/5y+7

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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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a rotation about point l

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