Step-by-step explanation:
Try this process when you see a right triangle
A or B reply to which so I have your visual.
Answer:
D^1 should be (28,0)
Step-by-step explanation:
a dilation is performed by multiplying the x and y coordinates by the scale factor. D(7,0)... (7×4,0×4).... D^1(28,0)
From basic probability we know that if A and B are any two events in the sample space, S, then:
![P(A\cup B)=P(A)+P(B)-P(A\cap B)](https://tex.z-dn.net/?f=%20P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29%20)
......(Equation 1)
In the question we have been given all the data that is required. Thus, we have: P(A)=2/3, P(B)= 4/5 and P(A U B) = 3/5.
Substituting these values in (Equation 1) we get:
![P(A\cap B)=\frac{2}{3}+\frac{4}{5}-\frac{3}{5}=\frac{10+12-9}{15} =\frac{13}{15}](https://tex.z-dn.net/?f=%20P%28A%5Ccap%20B%29%3D%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B4%7D%7B5%7D-%5Cfrac%7B3%7D%7B5%7D%3D%5Cfrac%7B10%2B12-9%7D%7B15%7D%20%3D%5Cfrac%7B13%7D%7B15%7D%20%20)
This matches Option B. Therefore, Option B is the correct answer.