Answer:
P(B|Y)=0.4
Step-by-step explanation:
We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y
And we are asked to find P(B|Y)
The formula for P(B|Y)= ![\frac{P(B\cap Y)}{P(Y)}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28B%5Ccap%20Y%29%7D%7BP%28Y%29%7D)
From Venn diagram, ![P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}](https://tex.z-dn.net/?f=P%28B%5Ccap%20Y%29%3D%5Cfrac%7Bn%28B%5Ccap%20Y%29%7D%7B26%7D%20%3D%5Cfrac%7B8%7D%7B26%7D%20%3D%5Cfrac%7B4%7D%7B13%7D)
And P(Y)=![\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%28Y%29%7D%7B26%7D%3D%5Cfrac%7B8%2B12%7D%7B26%7D%3D%20%5Cfrac%7B20%7D%7B26%7D%3D%20%5Cfrac%7B10%7D%7B13%7D)
Hence P(B|Y)=![\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Cfrac%7B4%7D%7B13%7D%29%7D%7B%5Cfrac%7B10%7D%7B13%7D%7D%20%3D%5Cfrac%7B4%7D%7B10%7D%3D0.4)
Answer:
Step-by-step explanation:
The first one is A and then the next one I believe should be 210 for both
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14
For question 4: you have to do (y2 - y1) divided by (x2 - x1) to get the rise over run...
5-2
——. = 3/4
11 - 7
For question 5: input the values of x,y and the gradient into the equation of a line.....
y = mx+ c
-8 = 3(-2) + c
-8 = -6 + c
-2 = c
therefore:
y = 3x - 2
Hope this helps! Any questions let me know :)