Achef draws cookies randomly from a box containing 6 cookies of the same shape and size. there is 1 chocolate chip cookie, 3 almond, and 2 butter cookies. he draws 1 cookie and then draws another cookie without replacing the first one. find the probability of picking one almond cookie followed by another almond cookie and show the equation used.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.