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%
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.
In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.
V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.
Answer:
1/5 is left.
Step-by-step explanation:
Portion remaining after the bar was eaten by his brother = 1 - 1/5 = 4/5.
Portion remaining after John ate 3/4 of this = 4/5 - 3/4* 4/5 = 4/5 - 3/5
= 1/5.
Answer:
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Step-by-step explanation:
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2 to the third power is 2³
so 2 to the third power times -5 is 2³ * (-5)
which on simplification will be 8* (-5) =-40
