Answer:
B-91%
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: arriving home after 7 p.m.
Event B: getting home by bus.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
This means that 
Because the bus is cheaper, he uses the bus 70 percent of the time.
This means that 
Probability of getting home after 7 p.m.
70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.
100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.
So

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

Rouding up, 91%.
So the correct answer is:
B-91%
Answer:
45 miles
Step-by-step explanation:
Marco's average speed is ...
(75 mi)/(5/3 h) = 75·3/5 mi/h = 45 mi/h
Marco's rate of travel is 45 miles in one hour.
Hi,
As of right now it is not likely for him to get a B. This is because his average is 63.6% so unless he gets better scores, he's stuck with an F.
There are 7 dimes out of 24 total coins in the collection put 7/24 in a calculator and you should get .2916 repeating
-13 you can just put -9 + -4 in a calculator and get -13