Answer: choice D 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/6=1/3*p(A)
p(A)=1/2
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Answer: center is (-4,2) radius is 4
Step-by-step explanation:
Equation of circle
is (X-A)^2+(X-B)^2=r^2
The center Of The circle is (A, B)
The radius Of The circle is r
Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4
to get the slope of any line, all we need is two points off of it.
so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)

Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft