Nikki designs and conducts a computer simulation with 20 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of rolls needed in order to roll all of the different numbers on a number cube. According to the results of the simulation, what is the experimental probability that 11 or more rolls are needed to roll all of the different numbers? Express your answer as a percent.

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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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