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ale4655 [162]
3 years ago
5

You are running a fuel economy study. One of the cars you find is blue. It can travel 41 1/2 miles on 1 1/4 gasoline. Another ca

r is red. It can travel 21 3/5 miles on 4/5 gallon of gasoline. What is the unit rate of each car? Which car could travel a greater distance on 1 gallon of gasoline?
Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

Step-by-step explanation:

We want to study the fuel consumption of each car, i.e the amount of mile per gallon the cars will consume

Step one:

given data:

First car

distance covered= 41 1/2 = 41.5miles

amount of gallons= 1 1/4= 1.25gal

the miles per gallons= 41.5/1.25=33.2 miles per gallon

Second car

distance covered= 21 3/5= 21.6miles

amount of gallons=4/5=  0.8gal

the miles per gallons= 21.6/0.8=27 miles per gallon

1. Therefore the unit rate of

the first car = 33.2 miles per gallon

the second car=27 miles per gallon

2. the first car can travel a greater distance on 1 gallon of gasoline

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Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

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