The ribbon-cutting ceremony for acme�s new corporate headquarters is
to be held tomorrow afternoon. suppose the ribbon is tied between two
posts set 8 feet apart. let x be the distance from the left post where the
ceo decides to make the cut. assuming this is done at random, x
follows a uniform distribution on the interval from 0 to 8.
find the probability the ceo makes his cut somewhere between 2 feet and 5 feet from the left post.

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.

Find the distance between the pair of points a(-1,8) and b(-8,4)

Vertical angles must check all that apply