Answer:
![\large\boxed{\sqrt[3]{\left(\dfrac{15}{4}\right)^2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D%7D)
Step-by-step explanation:
![a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------------\\\\\left(5\times\dfrac{3}{4}\right)^\frac{2}{3}=\left(\dfrac{5\times3}{4}\right)^\frac{2}{3}=\left(\dfrac{15}{4}\right)^\frac{2}{3}=\sqrt[3]{\left(\dfrac{15}{4}\right)^2}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bn%7D%7Bm%7D%3D%5Csqrt%5Bm%5D%7Ba%5En%7D%5C%5C---------------------%5C%5C%5C%5C%5Cleft%285%5Ctimes%5Cdfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B5%5Ctimes3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D)
Answer:
Step-by-step explanation:
![\left(5^\frac{3}{4}\right)^\frac{2}{3}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^\frac{1}{2}=\sqrt[2]5=\sqrt5](https://tex.z-dn.net/?f=%5Cleft%285%5E%5Cfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C5%5E%7B%5Cfrac%7B3%7D%7B4%7D%5Ccdot%5Cfrac%7B2%7D%7B3%7D%7D%3D5%5E%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B1%7D%7D%3D5%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%5B2%5D5%3D%5Csqrt5)
Answer:
∠2 = 18°
Step-by-step explanation:
∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2
∠WXZ = 3∠2 + ∠2, that is
72 = 4∠2 ( divide both sides by 4 )
18 = ∠2, that is
∠2 = 18°
Answer:
The correct option is;
A. A set of nine data pairs with a correlation coefficient r = -0.4
Step-by-step explanation:
In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results
When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.
Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.
Answer:
(0,5)
Step-by-step explanation:
Move down 2 and move right 5.
Answer: of what?
Step-by-step explanation:
