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
The third one is the answer
Answer:
y = 12x
Step-by-step explanation:
-1 times 4 equals -4 so you have -4,y = 3x + 5 so you do 5 + 3 so it is 8x then you have -4,y = 8x so you add 4 to each side and it becomes y = 12x
Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope</u>
where the two given points are
and 
Plug in the given points (-1, 4) and (0, 2)

Therefore, the slope of the line is -2. Plug this into
:

<u>2) Determine the y-intercept</u>

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:

I hope this helps!
Answer:
640 yard²
Step-by-step explanation:
From the question,
The surface are of a triangular prism is given as
A = bh+2ls+lb.................. Equation 1
Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle
Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.
Substitute these values into equation 1
A = [(12×8)+(2×17×10)+(17×12)]
A = 96+340+204
A = 640 Yard²