Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:
where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: . Now, 9 1/2 inches is 9 and a half inches, so
.
Replacing values:
We can conclude that the volume of our cylinder is in terms of pi, or
simplified.
Answer:
a) 0.1423
b) 0.2977
c) 0.56
Step-by-step explanation:
For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.
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:
13 percent of the drivers stopped for speeding have invalid licenses.
This means that
14 drivers are stopped
This means that
(a) None will have an invalid license.
This is
(b) Exactly one will have an invalid license.
This is
(c) At least 2 will have invalid licenses.
Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is
We want
So
In which