Jerome's sister told him to multiply both the amount of water and the amount of drink
2 answers:
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Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
In this question:
We have to derivate V and r implicitly in function of time, so:
The radius of a sphere is increasing at a rate of 3 mm/s.
This means that
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so . We have to find
. So
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
As the mean is E[X] =150 and 
= 30, using the normal distribution to get the answer is just using Z. So, what we need is P(X<180).
![Z= \frac{x-E[X]}{\sigma } = \frac{180-150}{30} = \frac{30}{30} = 1](https://tex.z-dn.net/?f=Z%3D%20%20%5Cfrac%7Bx-E%5BX%5D%7D%7B%5Csigma%20%7D%20%3D%20%5Cfrac%7B180-150%7D%7B30%7D%20%3D%20%20%5Cfrac%7B30%7D%7B30%7D%20%3D%201)
P(x<180) = P(z< 1) =
(1) = 0.8413.
Then, just multiplying the amount of books you have, which is 500, with the probability would give how many books are less than 180 pages, being:
P(x<180) = P(z< 1) =
Then, just multiplying the amount of books you have, which is 500, with the probability would give how many books are less than 180 pages, being: