That’s a irrational number
Answer:
You can tell by using the degrees of the angles and the lengths of the sides, congruent triangles will have the same angle measures and same side lengths where as similar triangles will have the same angle measures but different side lengths.
Step-by-step explanation:
Answer:
![\mathbf{ 0.6 \times 0.5 = 0.3 }](https://tex.z-dn.net/?f=%5Cmathbf%7B%200.6%20%5Ctimes%200.5%20%3D%200.3%20%7D)
Step-by-step explanation:
Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.
It is given that ![P(M) = 0.6](https://tex.z-dn.net/?f=%20P%28M%29%20%3D%200.6%20)
Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event
(D given M does not occur) is a null event, i.e
It is also given that,
![P(D|M) = 0.5](https://tex.z-dn.net/?f=%20P%28D%7CM%29%20%3D%200.5%20)
Recall that : ![P(D|M) = \frac{P(D \cap M)}{P(M)}](https://tex.z-dn.net/?f=%20P%28D%7CM%29%20%3D%20%5Cfrac%7BP%28D%20%5Ccap%20M%29%7D%7BP%28M%29%7D%20)
Here, we are required to find ![P(D \cap M)](https://tex.z-dn.net/?f=%20P%28D%20%5Ccap%20M%29%20)
![P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3](https://tex.z-dn.net/?f=P%28D%20%5Ccap%20M%29%20%3DP%28D%7CM%29%20%5Ctimes%20P%28M%29%3D%200.5%20%5Ctimes%200.6%20%3D%200.3)
Two events that can’t happen at the same time