Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:

Step-by-step explanation:
From the question we are told that:
Sample size 
Probability 
No. that do not cover their mouth when sneezing 
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore

Where

Therefore


6 is a whole number and 5/8 is a fraction
Fractions are parts of a whole number
So a fraction is smaller than any whole number
Thats why 6 is greater than 5/8
6 is a number that is in the ones place
Once the ones place is full up the number 9 and is about to go to 10 it goes to the tens place
So anything that is in the tens place is greater than a number in the ones place
6 is in the ones place
70 is in the tens place
Thats why 6 is less than 70
ΔABC and ΔCBD are similar. Therefore we have the proportion:

Substitute:
<em>cross multiply</em>
