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%
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that <em>the measure of the arc is twice the measure of the angle</em>.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°