Parelell lines have the same slope
y=mx+b
m=slope
given
y=-3x+6
slope is -3
so
y=-3x+b is our equation
find b
use (-4,7)
x=-4 and y=7
7=-3(-4)+b
7=12+b
-5=b
y=-3x-5 is da equation
Answer:
![Probability = \frac{11}{40}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B11%7D%7B40%7D)
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
![7th\ graders =11+8+8+13](https://tex.z-dn.net/?f=7th%5C%20graders%20%3D11%2B8%2B8%2B13)
![7th\ graders =40](https://tex.z-dn.net/?f=7th%5C%20graders%20%3D40)
7th graders that can play guitars are:
![Guitars = 11](https://tex.z-dn.net/?f=Guitars%20%3D%2011)
So, the probability is:
![Probability = \frac{Guitars}{7th\ graders}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7BGuitars%7D%7B7th%5C%20graders%7D)
![Probability = \frac{11}{40}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B11%7D%7B40%7D)
Answer:
Step-by-step explanation:
The answer is CD=3√3.
Just found the length of CD
You can find the area multiplying AC•BC/2
Answer:
0.6
Step-by-step explanation:
A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.
Order matters in case of permutations but does not matter in combinations.
Given:
Number of red marbles = 3
Number of white marbles = 2
Number of green marbles = 1
To find: probability of picking 4 marbles and getting one of each color
Solution:
Total number of outcomes =
= ![\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B4%21%5C%2C2%21%7D%3D%5Cfrac%7B6%5Ctimes%205%5Ctimes%204%21%7D%7B4%21%5Ctimes%202%7D%3D15)
Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble =
= ![\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9](https://tex.z-dn.net/?f=%5Cfrac%7B3%21%7D%7B2%21%5C%2C1%21%7D%5Ctimes%20%5Cfrac%7B2%21%7D%7B1%21%5C%2C1%21%7D%5Ctimes%201%2B%5Cfrac%7B3%21%7D%7B2%21%5C%2C1%21%7D%5Ctimes%201%5Ctimes%201%3D6%2B3%3D9)
So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =![\frac{9}{15}=\frac{3}{5}=0.6](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B15%7D%3D%5Cfrac%7B3%7D%7B5%7D%3D0.6)