Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have 
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have 
which is 3² = 9 written in logarithmic form.
This can also be switched around to read 
.
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
The factors of 8 are 1, 2, 4, and 8.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The largest factor that is in both these lists is 8, therefore, the greatest common factor os 8 and 24 is 8.
Hope this helped! (:
45x+75y=1410 i hope this helps bc i’m pretty sure i’m learning the same thing but i hope this helps
We are given with the function of r (x) that represents the revenue or the total sales of the company and e(x) which represents the expenses of the company. Profit, p(x), is expressed as the difference between the revenue and the sales. The answer to this problem is B.
