Step-by-step explanation:
Y-0 = 1/4(x-8)
4Y= x-8
4Y-x+8=0
6(4x+1)= 24x+6, so your answer has to be B
Answer:
-4 5/12
Step-by-step explanation:
-2 3/4 - 1 2/3
3/4*3/3= 9/12 2/3*4/4= 8/12
-2 9/12 - 1 8/12
-3 17/12
-4 5/12
Answer:
15
Step-by-step explanation:
Answer:
![Probability = \frac{1}{20}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B1%7D%7B20%7D)
Step-by-step explanation:
Given
![People = 6](https://tex.z-dn.net/?f=People%20%3D%206)
![Selection = 3](https://tex.z-dn.net/?f=Selection%20%3D%203)
Required
Determine the probability of selecting the oldest 3
First, we need to determine the total possible selection.
Since it's a selection, we make use of combination as follows:
![^nC_r = \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
In this case:
![n = 6](https://tex.z-dn.net/?f=n%20%3D%206)
![r = 3](https://tex.z-dn.net/?f=r%20%3D%203)
So:
![^nC_r = \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
![^6C_3 = \frac{6!}{(6-3)!3!}](https://tex.z-dn.net/?f=%5E6C_3%20%3D%20%5Cfrac%7B6%21%7D%7B%286-3%29%213%21%7D)
![^6C_3 = \frac{6!}{3!3!}](https://tex.z-dn.net/?f=%5E6C_3%20%3D%20%5Cfrac%7B6%21%7D%7B3%213%21%7D)
![^6C_3 = \frac{6*5*4*3!}{3!3*2*1}](https://tex.z-dn.net/?f=%5E6C_3%20%3D%20%5Cfrac%7B6%2A5%2A4%2A3%21%7D%7B3%213%2A2%2A1%7D)
![^6C_3 = \frac{6*5*4}{3*2*1}](https://tex.z-dn.net/?f=%5E6C_3%20%3D%20%5Cfrac%7B6%2A5%2A4%7D%7B3%2A2%2A1%7D)
![^6C_3 = \frac{5*4}{1}](https://tex.z-dn.net/?f=%5E6C_3%20%3D%20%5Cfrac%7B5%2A4%7D%7B1%7D)
![^6C_3 = 20](https://tex.z-dn.net/?f=%5E6C_3%20%3D%2020)
In the combination, there can be only 1 set of oldest people.
So:
![Probability = \frac{1}{20}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B1%7D%7B20%7D)