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Murrr4er [49]
3 years ago
7

One gallon of gasoline in Buffalo, New York costs $2.29. Across the border in Toronto, Canada, one liter of gallon costs $0.91.

Note: we use different units of measure in the United States than they do in Canada. There are 3.8 liters in one gallon. Toronto How much would the equivalent of one gallon of gas cost in Toronto? Round your answer to the nearest cent. $ What is the difference in price for a gallon of gas for the two locations?
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

a) $ 3.46

b) Cost of one gallon of gas is Toronto, Canada is higher by $ 1.17

Step-by-step explanation:

Complete Question

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs  $0.91. There are 3.8 liters in one gallon.

a. How much does one gallon of gas cost in  Toronto? Round your answer to the nearest  cent.

b. Is the cost of gas greater in Buffalo or in  Toronto? How much greater?

Solution

Given

Cost of one gallon of gasoline in Buffalo, New York = 2.29 dollars

Cost of one liter of gasoline in Toronto, Canada = 0.91 dollars

One gallon = 3.8 liters

Thus, 1 liter = \frac{1}{3.8} gallons

a) Cost of \frac{1}{3.8} gallons of gasoline in Toronto, Canada = 0.91 dollars

Cost of 1gallons of gasoline in Toronto, Canada

=3.8 *  0.91\\= 3.458\\= 3.46

b) Difference in price for a gallon of gas for the two locations

3.46 - 2.29 \\= 1.17

Cost of one gallon of gas is Toronto, Canada is higher by $ 1.17

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Answer:

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Step-by-step explanation:

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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

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Answer:

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Step-by-step explanation:

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