Answer:
1
Step-by-step explanation:
anything raised to the power of 0 would equal 1 and p doesn't equal 1 here.
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
-------------------------
P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
<h3>P(B) = 1/2 is the answer</h3>
------------------------
If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
Answer:
B. The line will fall faster as you move from left to right.
Step-by-step explanation:
As slope is decreased by 1, its shall fall much more quickly. The green line labels the line 
and red labels the line 
As the slope is decreased, the line will fall much more steeply.
Answer:
or 12.57 units
Step-by-step explanation:
It is given that the radius of a circle is 2 units.
We need to find the circumference of the circle.
The formula for circumference of a circle is
where, r is the radius of the circle.
Substitute r=2 in the above formula.
Here, 
Therefore, the circumference of the circle is or 12.57 units.
Try Socratic hope that helps
