Answer:
Step-by-step explanation:
Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.
I suppose that the serie starts at 0, so using the geometric serie with r = | | > 1 the serie diverges.
The two inequalities can be rewritten as
The solution is composed by every point below the graph of the line , and above the horizontal line
To draw the line we can build a little table (only 2 points are required):
So, if you draw the points (0,2) and (1, -2) and connect them, you'll have your line.
To draw the line , simply pick any point with y coordinate -2, for example (0, -2), and draw a horizontal line.
Choose the above/below areas as specified above to solve the system.
Answer:
Probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Step-by-step explanation:
The complete question is:
Online By Mail Total
Male 12 8 20
Female 24 6 30
Total 36 14 50
A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.
Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)
P(Pays bill by mail/Customer is female) =
Now, Probability that customer is female =
Also, Probability that customer pays bill by mail and is female =
So, Required probability =
=
= = 0.20
Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.