Answer:
Option A. 0.20
Step-by-step explanation:
Observations from the given frequency table are :
Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2
= 15
Number of twin beds sold = 3
Then, probability that the next bed sold will be a twin bed,
= 0.20
Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.
Option A. is the correct answer.
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so