A young boy has a penny, a nickel, a dime, a quarter, and a half-dollar coin. He puts all the coins in his hand and tells his friend that he can randomly choose two of the coins without looking. What is the probability that the boy’s friend will choose the quarter as one of the two coins? Show your answer in fraction and percent, round to the nearest whole percent.

Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

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.