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.
Answer: 1.5 inches
Step-by-step explanation:
If two quantities are directly proportional, it means that an increase in the value of one quantity would cause a corresponding increase in the other quantity. Also, a decrease in the value of one quantity would cause a corresponding decrease in the other quantity.
Given that the amount a spring will stretch,S varies directly with weight, F, if we introduce a constant of proportionality, k, the expression becomes
S = kF
When S = 2.22 and L = 37, then
2.22 = 37k
k = 2.22/37 = 0.06
Therefore, the equation that relates the length S that the spring stretches to the weight F is
S = 0.06F
Therefore, if F = 25 pounds, then
S = 0.06 × 25
S = 1.5 inches
For this case we must multiply the following expression:
Applying distributive property we have:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:
Adding similar terms:
Answer:
Answer:
Dale played 2 hours and 30 minutes in total.
Step-by-step explanation:
If one game lasts 5/8 hours, and Dale plays 4 games, that means that you have multiply the amount of hours per the amount of games he plays.
Therefore, you should do 4 x 5/8 which equals 20/8.
However, it is recommended to simplify your answer so really you should get 2 hours and 30 minutes.
Answer:
x = r/(8+t)
Step-by-step explanation:
8x + tx = r
Using distributive property,
x(8+t) = r
Divide by 8+t on both sides,
x = r/(8+t)
