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2 answers:
Answer:
Solution: x=-2
Step-by-step explanation:
Consider the equation Plot the graphs of left and right side functions
and
as shown in the diagram. The solution of the equation is the x-coordinate of the point of intersection between those two graphs. As you can see these graphs intersect at point (-2,4), thus, the solution of the equation is x=-2.
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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.
Answer:
Step-by-step explanation:
Given : Expression
To find : Solve the expression ?
Solution :
Step 1 - Write the expression,
Step 2 - Apply distributive,
Here, a=25.36, b=1, c=0.45
Step 3 - Solve the expression,
Therefore,