Answer:
31
Step-by-step explanation:
![{a}^{2} - {b}^{3} \\ \\ = {(2)}^{2} - {( - 3)}^{3} \\ \\ = 4 - ( - 27) \\ \\ = 4 + 27 \\ \\ = 31](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B%282%29%7D%5E%7B2%7D%20%20-%20%20%7B%28%20-%203%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%204%20-%20%28%20-%2027%29%20%5C%5C%20%20%5C%5C%20%20%3D%204%20%2B%2027%20%5C%5C%20%20%5C%5C%20%20%3D%2031)
Answer:
the answer is a . hope this helps
Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:
![P(A|B) = \frac{P(A \cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D)
In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:
![P(A \cap B) = \frac{3}{8}, P(B) = \frac{5}{7}](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20%5Cfrac%7B3%7D%7B8%7D%2C%20P%28B%29%20%3D%20%5Cfrac%7B5%7D%7B7%7D)
So
![P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{3}{8}}{\frac{5}{7}} = 0.525](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B3%7D%7B8%7D%7D%7B%5Cfrac%7B5%7D%7B7%7D%7D%20%3D%200.525)
52.5% probability that A occurs given B occurs
Answer:
these are quadratic graphs
Step-by-step explanation:
Answer:
My answer would be B.
Step-by-step explanation:
Triangle angles have to add up to a total of 180 degrees. B. has a very close measures in angles. I am sorry if this is not the answer. But let me know.