Answer:






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:

Distribution







After the total distance on the first, second and third days, Patrick had walked 3.45miles
Answer:
10,603 cu in
Step-by-step explanation:
For a pipe use its length instead of height: pipe volume = π * radius² * length , where radius = inner diameter/2 . The volume of a pipe is equal to the volume of a liquid inside.
Therefore,
radius = 1 inch ÷ 17 = 5 inch
length = 15 × 5 inches = 75 inches
volume = π (pi) × radius squared × length
volume = 15× (.5 x .5) × 75
volume = 15 × 5 × 2
volume = 10,603 in³
The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:
volume = π ×
d2
4
× h
Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.
This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.
volume = π × r2 × h