Based on the emperical rule
the distribution will be as follows
btwn 80 n 85 on the test - 34%
btwn 80 n 95 on the test - 82%
below 85 on the test - 50%
<span>above an 80 on the test - 84%</span>
Step-by-step explanation:
Let
where



so that

Recall that the derivative of the product of functions is

so taking the derivatives of the individual functions, we get



So the derivative of y(x) is given by

or



Answer: 2 3/4 as an improper fraction would be B. 11/4
Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!