The statewide results of a standardized math test had a normal distribution and a mean of 70. Mr. Smith's students took the same test and the graph above depicts their results. What does the mean score of Mr. Smith's class suggest about how well his students are performing relative to the state scores? What does the distribution of scores in Mr. Smith's class suggest about how well his students are performing relative to the state scores?

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

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