1/2 or 50% is your probibility, whihever you prefrer, fraction or percentage.
College work is so hard lol
Answer:
There will be 6 stickers on each sheet of paper
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
![\frac{2}{3} (\frac{1}{2} )y=12](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%28%5Cfrac%7B1%7D%7B2%7D%20%29y%3D12)
y=36
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A =
and B = ![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
at a ratio
from A then:
1. ![x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_%7B1%7Dm_%7B2%7D%2Bx_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
2. ![y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_%7B1%7Dm_%7B2%7D%2By_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
∵ P partitions AB in the ratio 3 : 4
∴
= 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ ![x=\frac{(-9)(4)+(5)(3)}{3+4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9%29%284%29%2B%285%29%283%29%7D%7B3%2B4%7D)
∴ ![x=\frac{-36+15}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-36%2B15%7D%7B7%7D)
∴ ![x=\frac{-21}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-21%7D%7B7%7D)
∴ x = -3
The x-coordinate of P is -3
∵ ![y=\frac{(-9)(4)+(-2)(3)}{3+4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%28-9%29%284%29%2B%28-2%29%283%29%7D%7B3%2B4%7D)
∴ ![y=\frac{-36+(-6)}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-36%2B%28-6%29%7D%7B7%7D)
∴ ![y=\frac{-42}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-42%7D%7B7%7D)
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
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