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
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of times is n = 20
The probability of getting three or more heads in a row is 
The probability of getting three or more heads in a row or three or more tails in a row is 
Generally given that it is a fair coin , then 
Here P(T) is probability of getting three or more tails in a row
Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as
=> 
=>
you can make it into an improper fraction if you want but there is no need for this problem
steps
1) 10 3/4- 5 1/4
10-5=5
3/4-1/4=2/4 or 1/2
answer:5 1/2 or 5 2/4
(it is better simplified)
Let AB is representing height of man which is 1.82 m tall.
The answer would be .0333 hope this helped
