Two dice are rolled. let x and y denote, respectively, the largest and smallest values obtained. compute the conditional mass function of y given x = i , for i = 1 , 2 , … , 6 . i=1,2,… ,6. are x and y independent? why

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

Ateacher noticed 5/8 of the students were wearing either blue shorts or white shorts. write two different ways this could be done.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.