Answer:
The height of the function for any number of pounds between 0 and 100 is 0.01.
Step-by-step explanation:
As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.
To calculate the height h of the probability density function, we can write:
If we solved this integration and rearrange
The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.
Answers are: A, C, D
Note how
(3/20)*20 = 0.15*20 = 3
0.15*20 = 3
(15/100)*20 = 0.15*20 = 3
all expressions lead to the same result of 3
another thing to notice
3/20 = 15/100 = 0.15 = 15%
which are multiple ways to say the same thing just in a different form
D is a notation for differential. There is a d2 in your formula because in the numerator there are two differentials. The formula is thus the second derivative of a function with respect to two variables.
8n + 22 = 70
-22 -22
8n = 48
n = 48/8
n = 6
n*3 = 3n = 6*3 = 18
3n = 18