Aradio station claims that the amount of advertising each hour has a mean of 15 minutes and a standard deviation of 2.9 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 16 minutes. calculate the z-score for this amount of advertising time. round to the nearest hundredth.

0.1296

Step-by-step explanation:

Use the normpdf function available on basic calculators:

normpdf(16,15,2.9) = 0.1296

This is the z-score representing 16 minutes.  Note that 16 is just one point above 15, so this small positive z-score makes sense.

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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