<span>24/60 = 12/30= 6/15+ 2/5</span>
Answer:
64
Step-by-step explanation:13+51=64
Answer:
![R(x,y) = (\frac{7}{4},\frac{1}{4})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B7%7D%7B4%7D%2C%5Cfrac%7B1%7D%7B4%7D%29)
Step-by-step explanation:
Given
![A = (1,-1)](https://tex.z-dn.net/?f=A%20%3D%20%281%2C-1%29)
![B = (4,4)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C4%29)
![AR:AB = 1:4](https://tex.z-dn.net/?f=AR%3AAB%20%3D%201%3A4)
Required
Determine R
This question will be solved using line ratio formula
![R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%20%2B%20n%7D%29)
Where
![A = (1,-1)](https://tex.z-dn.net/?f=A%20%3D%20%281%2C-1%29)
![B = (4,4)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C4%29)
![m:n = AR : RB](https://tex.z-dn.net/?f=m%3An%20%3D%20AR%20%3A%20RB)
Since R is on A and B;
![AB = AR + RB](https://tex.z-dn.net/?f=AB%20%3D%20AR%20%2B%20RB)
![4 = 1 + RB](https://tex.z-dn.net/?f=4%20%3D%201%20%2B%20RB)
![RB = 3](https://tex.z-dn.net/?f=RB%20%3D%203)
Hence;
![m:n = 1 : 3](https://tex.z-dn.net/?f=m%3An%20%3D%201%20%3A%203)
![A = (1,-1)](https://tex.z-dn.net/?f=A%20%3D%20%281%2C-1%29)
![B = (4,4)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C4%29)
becomes
![R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B1%20%2A%204%20%2B%203%20%2A%201%7D%7B1%2B3%7D%2C%5Cfrac%7B1%20%2A%204%20%2B%203%20%2A%20-1%7D%7B1%20%2B%203%7D%29)
![R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B4%20%2B%203%7D%7B4%7D%2C%5Cfrac%7B4%20-%203%7D%7B4%7D%29)
![R(x,y) = (\frac{7}{4},\frac{1}{4})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B7%7D%7B4%7D%2C%5Cfrac%7B1%7D%7B4%7D%29)
Answer:
It's the last option: 5^-5/6.
Step-by-step explanation:
Converting to fractional exponents:
= 5^1/3 * 5^1/2 / 5^(5*1/3)
= 5^5/6 / 5^5/3
= 5^(5/6 - 5/3)
= 5(5/6 - 10/6)
= 5^-5/6
Answer:
The correct answer is:
Nonresponse bias (C.)
Step-by-step explanation:
Nonresponse bias in sampling is one that arises due to the unwillingness or inability of subjects in a population to participate in a survey.