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Dafna1 [17]
3 years ago
11

When a​ car's tire pressure is 30 pounds per square inch​ (psi), it averages 20.5 mpg of gasoline. If the tire pressure is incre

ased to 35​ psi, the car averages 21.1 mpg of gasoline.
Answer parts ​a) through ​c).
​a) If someone drives an average of 23,000 mi per​ year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35​ psi?

b.) If gasoline costs ​$2.00 per​ gallon, how much will he save in a​ year?

c.)​ Assume that there are about 140million cars in a country and that these changes are typical of each​ car, how many gallons of gasoline would be saved if all drivers increased their​ cars' tire​ pressure?
Mathematics
2 answers:
bearhunter [10]3 years ago
8 0

For A, divide total miles by the miles per gallon for each tire pressure to find the number of gallons of gas used:

At 30 psi: 23000 / 20.5 = 1121.95 gallons , round to 1121 gallons.

At 35 psi: 23000 / 21.1 = 1090 gallons.

Number of gallons saved: 1121 - 1090 = 31 gallons.

B) multiply the cost per gallon by the number of gallons saved:

31 gallons x $2.00 = $62.00 saved.

C) Multiply the gallons saved by 1 car by total number of cars:

31 gallons x 140 million cars = 4,340 million gallons ( 4 billion 340 million gallons)

anastassius [24]3 years ago
4 0

Answer:

The answer to your question would be A. Have a nice day.

Step-by-step explanation:

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Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

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P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

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There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

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Step-by-step explanation:

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