Aprincipal believes 50% of her music students reported their practice hours accurately. based on that assumption, she ran 200 simulations of random samples. she found the mean of each run. then she found the mean, 48%, and standard deviation of all the means, 18%, to create a normal distribution.

according to that distribution, which option below gives the best description of how likely is it that a single survey would return a mean of 30%?

extremely likely
likely
unlikely
extremely unlikely

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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