A manufacturer of potato chips would like to know whether it’s backfilling machine worked correctly at the 420 a gram setting. Is there sufficient evidence at the 0.05 level that the bags are on sale? Assume the population is normally distributed. State the null and alternative hypothesis for the above scenario.

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.

Determine the area of a triangle with (see picture below)

Ms. green tells you that a right triangle has a hypotenuse if 13 and a leg of 5. she ask you to find the other leg of the triangle. what is you're answer?