P(a | b) = p(a ∩ b)/p(b) . . . . . a definition worth remembering
0.2 = p(a ∩ b)/0.5 . . . . . . . . fill in the given values
0.2*0.5 = 0.1 = p(a ∩ b)
p(a ∩ b) = 0.1
Answer:
J: x - 2y = -8
Step-by-step explanation:
All you have to do is plug in x or y as 0 for the y-intercept and the x-intercept, respectively. But, for these specific equations, looking at the constant when y isn't multiplied by any number but 1 will show the y-intercept. (e.g. 2x + y = -12, -12 is the y-intercept, 2x - y = -20 -> -2x + y = 20, 20 is the y-intercept)
F: y-intercept = -12 (incorrect)
G: y-intercept = 0 (incorrect)
H: y-intercept = 20 (incorrect)
J: y-intercept = 4 (correct)
Answer:
Jane is 9 1/4 years old
Step-by-step explanation:
Camden is 10 1/2 years old and Jane is (10 2/4 - 1 1/4) which equals 9 1/4 years
Answer:
straight line that passes through the origin
Step-by-step explanation:
Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.
Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>
To find both the x and the y intercept, we need to solve one at a time.
For the x intercept, we need to make the value of y equal to 0, and solve for x.
-x + 7y = 7
-x + 7(0) = 7
-x = 7
Multiply both sides by -1.
x = -7
The x intercept is -7.
Now for the y intercept.
-(0) + 7y = 7
7y = 7
Divide both sides by 1.
y = 1
The y intercept is at 0, 1.
