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kobusy [5.1K]
3 years ago
14

Scott has a car that can travel 25 miles on one gallon of gas. He is buying a new car that can travel 32 miles on one gallon of

gas. How much gas will he save over the course of 100 miles after buying his new car?
A.
7 gallons

B.
0.875 gallons

C.
0.009 gallons

D.
1.28 gallons
Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
4 0
The answer is B. .875 gallons

25/1=100/x
25x=100
x=100/25=4 gallons

32/1=100/x
32x=100
x=100/32
x=3.125 gallons 

4-3.125=0.875 gallons
Serggg [28]3 years ago
4 0
We divide 100 miles by each car...100/25 = 4 gallons on that car
                                                     100/32 = 3.125 gallons on this one
subtract the two answers 4 - 3.125 and we get a savings of .875 gallons on 100 miles.
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Answer:

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Step-by-step explanation:

After a small online search, I've found a table to complete this problem, that we can see below.

For two events Z and B, we have:

P(Z|B) = probability of Z given that B

such that:

P(Z|B) = P(Z∩B)/P(B)

So, two events are independent if the outcome of one does not affect the outcome of the other.

So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.

So Z and B are independent if the probability of Z given B is equal to the probability of Z.

P(Z|B) = P(Z)

In the table we can see:

P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)

P(Z|B) = 126/280 = 0.45

Similarly, we can find P(Z):

And P(Z) = 297/660 = 0.45

So we can see that:

P(Z|B) =  P(Z)

Thus, B and Z are independent.

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Help please! I just need to know how to do this step by step...
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