Area Compound Shapes Answer Key for Worksheet
2 answers:
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<u>Given</u>:
Given that the circle is graphed with center (-1,1)
We need to determine the equation of the circle.
<u>Radius</u>:
To determine the radius of the circle, let us simply count the number of units between the center point to any point on the circle.
Hence, from the figure, it is obvious that there are 5 units between the center and any point on the circle.
Thus, radius of the circle is 5 units.
<u>Equation of the circle:</u>
The standard form for the equation of the circle is given by
where the center is (h,k) and radius is r.
Substituting the center (-1,1) and r = 5 in the above formula, we get;
Thus, the equation of the circle is
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
At the null hypotheses, it i tested if the mean difference remains the same, that is:
At the alternative hypotheses, it is tested if it has decreased, hence:
.
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
The parameters are given as follows:
.
Hence the test statistic is given by:
More can be learned about the t-distribution at brainly.com/question/16162795
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