Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:


Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.
The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

More can be learned about the uniform distribution at brainly.com/question/13889040
Answer:
<u>It's expected that Jason make 16 out of 20 free throws</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Jason's free-throw scoring average = 80%
2. In a recent game Jason attempted 20 free throws. How many free throws would you expect him to make?
Free throws expected to make by Jason = 20 * 80%
<u>Free throws expected to make by Jason = 16</u>
Answer:
116.62m
Step-by-step explanation:
