Answer:
The answer is ![\frac{13}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B36%7D)
Step-by-step explanation:
The formula is:
![\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20-%20%20%5Cfrac%7Bc%7D%7Bd%7D%20%20%3D%20%20%5Cfrac%7Bad%20-%20bc%7D%7Bbd%7D)
In this case :
![\frac{12}{16} - \frac{7}{18} = \frac{12 x 18 - 16x17}{16x18} = \frac{216 -112 }{288} = \frac{104}{288}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B16%7D%20%20-%20%5Cfrac%7B7%7D%7B18%7D%20%3D%20%20%5Cfrac%7B12%20x%2018%20-%2016x17%7D%7B16x18%7D%20%3D%20%5Cfrac%7B216%20-112%20%7D%7B288%7D%20%3D%20%5Cfrac%7B104%7D%7B288%7D)
To get the simples form notice both 104 and 288 are divisible by 8 and 104/8 = 13 and 288/8 = 36.
Thus ![\frac{104}{288} = \frac{13}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B104%7D%7B288%7D%20%3D%20%5Cfrac%7B13%7D%7B36%7D)
Step-by-step explanation:
solution is above in the pics
Taking the slope about different points, we have
![m_{1} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{100-63}{18-12} = \frac{37}{6} =6 \frac{1}{6} \\ m_{2} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{30-88}{8-16} = \frac{-58}{-8} =7 \frac{1}{4}](https://tex.z-dn.net/?f=%20m_%7B1%7D%20%3D%20%5Cfrac%7B%20y_%7B2%7D-%20%20y_%7B1%7D%20%7D%7Bx_%7B2%7D-%20%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B100-63%7D%7B18-12%7D%20%3D%20%5Cfrac%7B37%7D%7B6%7D%20%3D6%20%5Cfrac%7B1%7D%7B6%7D%20%20%5C%5C%20m_%7B2%7D%20%3D%20%5Cfrac%7B%20y_%7B2%7D-%20%20y_%7B1%7D%20%7D%7Bx_%7B2%7D-%20%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B30-88%7D%7B8-16%7D%20%3D%20%5Cfrac%7B-58%7D%7B-8%7D%20%3D7%20%5Cfrac%7B1%7D%7B4%7D%20)
The slopes are positive but are not equal, which means that that the association is positive non linear association.
Answer:
w= 10
Step-by-step explanation:
hope u understand
x=2.37
Step-by-step explanation:
(3/4)x=(16/9)
36×3/4x=36×16/9
27x=64
x=2.37