Answer: The probability is P = 0.20
Step-by-step explanation:
The data that we have is:
Total books = 400
If the number of non fiction books is Nf and the number of fiction books is F, we have that:
F = Nf + 40
So here we have a system of equations:
Nf + F = 400
F = Nf + 40
we can replace the second equation in the first one, and solve it for Nf.
Nf + (Nf + 40) = 400
2*Nf + 40 = 400
2*Nf = 400 - 40 = 360
Nf = 180
So we have 180 non-fiction books.
We want to calculate the probability of picking at random two non-fiction books.
When Audrey picks one, the probabilty is equal to the number of non-fiction books divided the total number of books:
p1 = 180/400
for Ryan we have the same, but the number of books is 399 now (Because Audrey already took one), and the number of non-fiction books is 179.
p2 = 179/399
The probabiliy for both events to happen is:
P = p1*p2 = (180/400)*(179*399) = 0.20
B.) 2x − 60
C.) 5x + 60
D.)2x − 60
Answer:
The answer is C. 5x + 60
Step-by-step explanation: