Using 8 coins, how can you make change for 65 cents that will not make change for a quarter?
2 answers:
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Answer: 14
Step-by-step explanation:
- Degrees of freedom is the number of values in the evaluation of a test statistic that are free to vary.
For t-statistic , the degree of freedom for a sample with sample size 'n' is given by :-
Given : Sample size : n-1
Then, the number of degrees of freedom the t-value will have :-
Hence, the t-value will have 14 degrees of freedom.
It looks like the integral is
where <em>C</em> is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then
Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so
where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: .