Which product of prime polynomials is equivalent to 8x4 + 36x3 – 72x2?
4x(2x – 3)(x2 + 6)
4x2(2x – 3)(x + 6)
2x(2x – 3)(2x2 + 6)
2x(2x + 3)(x2 – 6)

Suppose that x and y are both differentiable functions of t and are related by the given equation. use implicit differentiation with respect to t to determine startfraction dy over dt endfraction in terms of x, y, and startfraction dx over dt endfraction .

What is the correlation coefficient for the data? don't forget to turn the diagnoisticon (in the catalog menu of the calculator). r = answer (round to the nearest thousandth)

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.