Answer:
480
Step-by-step explanation:
Answer:
Where is the question
Step-by-step explanation:
Where is the question
The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.
Use completing the square method:
x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1
the center of the circle is (2,0) and r = 1
To check if it intersects the y axis, find the value of the x-intercept.
The probability you're asked to find is
where
is the event that either event occurs (A, B, or both), and
is the event that both events occur.
Recall that
which means
You're told that
,
, and (if I'm reading the diagram correctly)
.
So,
Another way of seeing this is that the event A consists of the regions "A not B" and "A and B". So the probability that "A not B" occurs is
Similarly, B consists of "B not A" and "A and B", so you have
So the probability that A or B, but not both, occur is
Answer:
24
Step-by-step explanation:
23 and 6/7 rounds to 24. This is because 23 and 6/7 is closer to 24 than 23.