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abruzzese [7]
3 years ago
11

3. A published poll has indicated that 1 out of 15 people who use regular gasoline will pay $.40/gallon more for regular gasolin

e without ethanol. a. A local service station sells both regular grade gasoline with ethanol and regular grade gasoline without ethanol. What is the probability that the 20th person visiting the service station to purchase regular gasoline will be the 4th person to purchase regular gasoline without ethanol

Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

2658936 * (\frac{14}{15})_{11} ^{12}

Step-by-step explanation:

probability that the 20th person visiting the service station to purchase regular gasoline will be the 4th person to purchase regular gasoline without ethanol

probability of people who use regular gasoline without ethanol = 1/15 and will pay more ( $0.40) /gallon

The total number of customer in the service station (number of trials) X = 20

success ( r ) = 4

P = 1/15

The probability that the 20th person/customer visiting the station would be the 4th person to purchase regular gasoline without ethanol

FIND ATTACHED THE DETAILED SOLUTION

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Answer:

Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Step-by-step explanation:

Let x denote the number of rafts seating 3 people and y the number of rafts seating 5 people. The total number of rafts is 13, so x+y=13. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so 3x+5y=53.

It's always a good idea to put these equations under each other:

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We can subtract the first equation three times from the second one to obtain (3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7

Now, substitute this found value for y into x+y = 13 and we see that x=6. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

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Answer:

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