We're told that
a. We want to find 
. By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find 
.
since 
.
X = 3 and x = -1 are the answers for both. They are exactly the same equation.
FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.
USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.
The slope is the change in y-axis to x-axis of a graph. The slope of the line given is -10
<h3>How to find the slope of a line?</h3>
The standard equation of a line in slope intercept form is given as y = mx+b
where
- m is the slope
- b is the y-intercept
Given the equation y = -10x - 2
Compare
mx = -10x
m = -10
Hence the slope of the line given is -10
Learn more on slope here: brainly.com/question/3493733
#SPJ1
Answer: (y-3)^2= 52(x+7)
The focus is (-10, -7) and the directrix is x=16. The y-coordinate of the vertex should be same as the focus(k=-7). Then the x-coordinate of the vertex would be:
p + (-10)= 16 - p
2p= 16 + 10
p=26/2= 13
The x-coordinate of the vertex would be:
h= p+ (-10)
h= 13 - 10= 3
The vertex coordinate would be: (h, k)= (3, -7)
For a vertex (h, k), the formula for equation would be
(y-k)^2=4 p(x-h)
(y-3)^2= 4*13(x--7)
(y-3)^2= 52(x+7)
