Answer:
B) 0.287
Step-by-step explanation:
For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. 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.
53% recognition rate in the town of Coffeeton.
This means that 
Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.
This is P(X = 4) when n = 7. So


So the anwer is:
B) 0.287
Answer:
7/20
Step-by-step explanation:

Answer:
The bag contains $5.14
Step-by-step explanation:
18% of 50 = (.18)(50) = 9 pennies
40% of 50 = (.40)(50) = 20 dimes
2 more nickels than pennies = 9 + 2 = 11 nickels
40 coins so far, so 50 - 40 = 10 quarters
Total value:
9 x ($0.01) = $0.09 for pennies
20 x ($0.10) = $2.00 for dimes
11 x ($0.05) = $0.55 for nickels
10 x ($0.25) = $2.50 for quarters
Grand total value = $5.14