Justin's dad claims that taking piano lessons will help Justin get into an Ivy League school one day. Justin decides to try to prove his dad wrong by interviewing a randomly selected sample of college-educated adults. Justin asks them whether they attended an Ivy League school and also whether they took piano lessons as a child. The relative frequency table below shows his results. Justin interviewed 999 randomly selected adults who attended an Ivy League school but did not take piano lessons.

both equations and proportions are better.

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.

it is x=-4

step-by-step explanation: