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andriy [413]
3 years ago
13

Michael drove 303 miles using 15 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

323.2 miles

Step-by-step explanation:

Since the rate is constant, Michael will go 16/15 times as far on 16/15 times as much gas:

... (16/15)·303 miles = 323.2 miles

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The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per
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Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

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