Let (a) be a rational number and (b) an irrational number. which of these statements would be true? check all that apply

a. the sum of (a) and (b) is never rationsl

b. the product of (a) and (b) is rational

c. (b)^2 is sometimes rational

d. (a)^2 is always rational

e. square root of (a) is never rational

f. square root of (b) is never rational

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The quadratic function h(t) = -16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after its dropped from a 15 story building. from what height in feet was the ball dropped?

The data represents the semester exam scores of 8 students in a math course. {51,91,46,30,36,50,73,80} what is the five-number summary?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.