I’m 644.001 dollars if not I’m sorry
Answer:
1/11
Step-by-step explanation:
If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.
Answer:
![P = [-3/5,2.33]](https://tex.z-dn.net/?f=P%20%3D%20%5B-3%2F5%2C2.33%5D)
Step-by-step explanation:
Given
See attachment for line segment RQ
of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
![P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}]](https://tex.z-dn.net/?f=P%20%3D%20%5B%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%5D)
If P is at:
![P = \frac{5}{6}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B5%7D%7B6%7D)
Then:
![m : n = \frac{5}{6} : 1 -\frac{5}{6}](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%3A%20%201%20-%5Cfrac%7B5%7D%7B6%7D)
Solve
![m : n = \frac{5}{6} : \frac{6-5}{6}](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%3A%20%20%5Cfrac%7B6-5%7D%7B6%7D)
![m : n = \frac{5}{6} : \frac{1}{6}](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%3A%20%20%5Cfrac%7B1%7D%7B6%7D)
Multiply by 6
![m : n = \frac{5}{6} *6: \frac{1}{6} * 6](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%2A6%3A%20%20%5Cfrac%7B1%7D%7B6%7D%20%2A%206)
![m : n = 5 : 1](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%205%20%3A%201)
By comparison
![m=5\ \& n = 1](https://tex.z-dn.net/?f=m%3D5%5C%20%5C%26%20n%20%3D%201)
From the attached line segment
![R(x_1,y_1) = (4,-1)](https://tex.z-dn.net/?f=R%28x_1%2Cy_1%29%20%3D%20%284%2C-1%29)
![Q(x_2,y_2) = (-5,3)](https://tex.z-dn.net/?f=Q%28x_2%2Cy_2%29%20%3D%20%28-5%2C3%29)
So, we have:
![P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}]](https://tex.z-dn.net/?f=P%20%3D%20%5B%5Cfrac%7B5%2A-5%20%2B%201%2A4%7D%7B5%2B1%7D%2C%5Cfrac%7B5%2A3%20%2B%201%2A-1%7D%7B5%2B1%7D%5D)
![P = [\frac{-25 + 4}{6},\frac{15 -1}{6}]](https://tex.z-dn.net/?f=P%20%3D%20%5B%5Cfrac%7B-25%20%2B%204%7D%7B6%7D%2C%5Cfrac%7B15%20-1%7D%7B6%7D%5D)
![P = [\frac{-21}{6},\frac{14}{6}]](https://tex.z-dn.net/?f=P%20%3D%20%5B%5Cfrac%7B-21%7D%7B6%7D%2C%5Cfrac%7B14%7D%7B6%7D%5D)
![P = [-3/5,2.33]](https://tex.z-dn.net/?f=P%20%3D%20%5B-3%2F5%2C2.33%5D)
Answer:
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