Answer:
The expression is
Step-by-step explanation:
Define the following events:
A: The student is enrolled in a foreign language class,
B: The student is enrolled in a technology class
We are given that
Recall the definition of conditional probability: Let A, B be sets if P(B)>0, then, the probability of A given B is given by the expression
So, using this, we are asked for the probability which is
The first answer is correct because both sides of the equation, when simplified, equal -a^2 +3b
Answer:
8.3
Step-by-step explanation:
Let Ao be the original amount and A the amount after t days.
Then we have the exponential function
A = Ao(1 - x)^t or
A/Ao = (1 - x)^t
When t = 8, A/Ao = 0.5
0.5 = (1 - x)^8
(0.5)^(1/8) = 1 - x
0.917 = 1 - x
x = 1 - 0.917 = 0.083 = 8.3 %
The substance decays by 8.3 % each day.
The first and the last options