Answer:
Step-by-step explanation:
Given
height of cylinder 
base of radius is 
Now volume of cylinder is given by




Answer:
P(X = 17) = 0.3002
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want P(X = 17). So


P(X = 17) = 0.3002
Answer:
$27428.57
Step-by-step explanation:
To solve this problem, we can use the formula for compound interest:
P = Po * (1 + r)^(t)
Where P is the final value, Po is the inicial value, r is the rate of interest, t is the time.
With r = 0.06, t = 4 (The rate is for every 15 days, and the time is 2 months, so we have that 2 months = 4 periods of 15 days) and P = Po + 7200, we have:
Po + 7200 = Po * (1 + 0.06)^4
Po + 7200 = Po * 1.2625
Po * 0.2625 = 7200
Po = 7200 / 0.2625 = $27428.57
According to unit circle the value of (0) is o