Answer:
47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.
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.
According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.
This means that 
What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
10 individuals, so n = 10.

In which





47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

The dose to be given is about 1.85 of the 1/4 grain tablets.
The formula for perimeter is 2l+2w. Since we know l=(w-4)-9, we can substitute this into the formula.
l=w-13
2(w-13)+2w=143
2w-26+2w=143
4w=169
w=42.25 units
Hope this helps!
Answer:
Martin has more cake than Sheena
Step-by-step explanation:
Chocolate Cake = 24 pieces
Vanilla Cake = 20 pieces
Martin: 3/24, 1/20
Sheena: 1/24, 2/20
Martin:
Step 1:
3/24 + 1/20
Step 2:
60/480 + 24/480 = 84/480
Sheena:
Step 1:
1/24 + 2/20
Step 2:
20/480 + 48/480 = 68/480
Martin has more cake than Sheena
Hope This Helps :)