Answer: The required probability of event B is P(B) = 0.37.
Step-by-step explanation: For two events A and B, we are given the following probabilities :
P(A) = 0.34, P(A ∩ B) = 0.27 and P(A ∪ B) = 0.44.
We are to find the probability of event B, P(B) = ?
From the laws of probability, we have

Thus, the required probability of event B is P(B) = 0.37.
Answer:
The opposite of 14 is -14.
Step-by-step explanation:
Opposites are numbers with the same distance from 0 but one is to the right of 0 and the other is to the left of 0.
The opposite of 0 is itself,0.
So the opposite of 5 is -5 since both 5 and -5 have the same distance from 0 and one is to the left and one is to the right of 0.
The opposite of 14 is -14 since both have the same distance from 0 and one is to the right and one is to the left of 0.
You can also think of this question as what can I add to 14 that will give me 0.
The answer is -14 since -14+14=0.
Another word for opposites is additive inverses. When you add additive inverses you get 0.
Another example: What is the opposite of -16?
The answer is 16 since 16+(-16)=0.
Answer:

Step-by-step explanation:
Recall that:

This implies that:


In general:

We can therefore write the function rule:

Answer:
24,950.
Step-by-step explanation:
You can use the arithmetic series formula (a sequence is the list of numbers; a series is the summation of the list).
To find the sum...
(100 / 2) (2 * 2 + (100 - 1)5) = 50 * (4 + 99 * 5) = 50 * (4 + 495) = 50 * 499 = 24950.
Hope this helps!