Middle School Mathematics · 5 points
Coolone 20
Asked 04/30/2020
Lesson 6.11
Bill is playing a game of chance with the following payout
30% of the time you will lose 20 dollars, 20% of
the time you lose 40 dollars, 10% of the time you win 50
dollars, 40% of the time you win 5 dollars Find the
expected value of the event and explain if Bill should play
this game based on the mathematical expectation,
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b

step-by-step explanation:

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.

i think the answer would be c