Simplify the expression. (a^3/2)^3
1 answer:
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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.
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
