Answer:
The answer to the question is
The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834
Step-by-step explanation:
The probability that a customer would purchase premium grade = 45 %
That is P(A) = 0.45 and
The probability that the customer would purchase another grade = P(B) = 0.55
Therefore the probability of at least one of the next three customers purchase premium gas is
P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand
that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³ and the complement is 1 - 0.55³ = 0.834
A. Fasho lil homey pop hold it down
To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be:
1. 3 paperback books + 5 hardcover book = $80.10
2. 7 paperback books + 4 hardcover book= $100.65
It would be easier to convert the 1st equation into
5 hardcover book = $80.10- 3 paperback books
hardcover book= $16.02- 0.6 paperback books
Then insert it to 2nd equation:
7 paperback books + 4 ($16.02- 0.6 paperback books)= $100.65
7 paperback books + $64.08- 2.4 paperback books= $100.65
4.6 paperback books = $100.65- $64.08= $36.57
paperback book= $7.95
Insert paperback book price to the first equation to find the hardcover book price
3 paperback books + 5 hardcover book = $80.10
3 ($7.95)+ 5 hardcover book = $80.10
5 hardcover book = $80.10 - $23.85= $56.25
hardcover book = $11.25
Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20
Answer:

Step-by-step explanation:
Given

Required
Find an equivalent expression

Apply the following law of indices;

The expression becomes

Solve the exponents


Express 125 as 5³

Solve the exponents


Hence;

It would be x+3y=15. Best of luck