According to Statistics Canada (for 2017), 60% of all Canadian households have an air conditioner and 81% have trees on their property. Suppose 76% of all Canadian households with an air conditioner have trees on their property. A Canadian household is randomly selected. What is the probability that the household has an air conditioner and trees on the property?

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.