Answer:
V = 1538.6 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h where r is the radius and h is the height
V = pi (7)^2 10
V = 3.14 (49)10
V = 1538.6 cm^3
Answer:
$0.18
Step-by-step explanation:
we need to set up two simultaneous equations
using variables, pencils = p and erasers = e
3 pencils and 2 erasers, the cost is $0.76
3p + 2e = $0.76
2 pencils and 4 erasers, the cost is $1.04.
2p + 4e = $1.04
we now have
3p + 2e = $0.76
2p + 4e = $1.04
to make the number of erasers the same, multiply the first equation by 2 to give 4e
2(3p + 2e = $0.76)
6p + 4e = $1.52
now we have the same number of erasers for both equations
6p + 4e = $1.52
2p + 4e = $1.04
subtract across: 6p - 2p = 4p, 4e - 4e = 0, $1.52 - $1.04 = $0.48
we are left with 4p = $0.48
divide both sides by 4
p = $0.12
1 pencil = $0.12
go back to the start of both equations and use one of them to find 1 eraser. I'll use 3p + 2e = $0.76
input $0.12 in p
3($0.12) + 2e = $0.76
$0.36 + 2e = $0.76
subtract $0.36 on both sides
2e = $0.76 - $0.36
2e = $0.40
divide 2 on both sides
e = $0.20
1 eraser = $0.20
How much more does 1 eraser cost than 1 pencil?
we now know 1 pencil = $0.12 and 1 eraser = $0.20
find the difference between them
$0.20 - $0.12 = $0.18
final answer= $0.18
What do you need help with?
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%
