[25 POINTS] determine whether each relation is a function. If so, provide the domain and range.
1 answer:
Answer:
The first table is a function.
Domain for the first graph: {1, 5, 10, 11, 14}
Range for the first graph: {6, 50, 150, 176, 266}
The second table is a function
Domain for the second graph: {0, 10, 20, 30, 40}
Range for the second graph: {0, 300, 600, 900, 1200}
Step-by-step explanation:
To tell whether if a relation is a function is to determine if the x values repeat itself. If the x value repeats itself, it is not a function. If it doesn't repeat itself, it is therefore a function. You can also tell if a relation is a function by doing the vertical line test. Draw a vertical line on a graph and if it hits more than one point, the relation is not a function. The domain are the x values while the range are the y values. When you're plotting the domain/range, make sure to put the numbers in order from least to greatest, use curly brackets instead of parentheses, and don't repeat the same numbers. So yeah a brainliest would be great but you don't have too.
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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 = <em><u>true mean family income for Mexican migrants.</u></em>
So, Null Hypothesis, :
= $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}
Alternate Hypothesis, :
$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. = ~
where, = 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> = ~
= 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.