Use a system of inequalitiesto modelthe scenario above so the correct answer is letter A
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., 
, therefore .
Hence, the correct option is A.
Answer:
7. Distributive Property
8. 8x +2.5
Step-by-step explanation:
7. The equation matches the pattern ...
a(b + c) = ab + ac . . . . . . . statement of Distributive Property
with a=√2, b=5, c=4
__
8. The one-time charge of 2.50 will appear added in the equation one time (and not multiplied by anything). The number of tickets (x) will be multiplied by the ticket charge (8) and added to the one-time charge. Only one answer choice does that:
8x + 2.5
Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>
