Answer:
Option d is the correct answer
Step-by-step explanation:
The slope-intercept form of an equation for a line passing through given points can be represented as
y = mx + c
Where
Slope, m = (change in value of y on the vertical axis) / (change in value of x on the horizontal axis)
c = y-intercept
We want to find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3
For two lines to be parallel to each other, the slopes must be equal.
For y = 2x – 3
Slope,m = 2 (comparing with the slope intercept form stated above).
This means that the slope of the line
that passes through (–1, 2) is also 2
To find the y-intercept, c of this equation,
2 = 2 × - 1 + c
2 = -2 + c
c = 2+2 = 4
The equation is
y = 2x + 4
The answer is 3 because the order of operations tells you to start off with parenthesis first, which would (I assume would anyways) be 15. Then you would do 45÷15, which is 3.
Answer:
20 square units
Step-by-step explanation:
Area = 1/2 * base * height
Area = 1/2 * 10 * 4
Area = 20 sqaure units
Answer:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Step-by-step explanation:
If A and B are independent then we must have
P(AB) = P(A) P(B) and also
P(A/B) = P(A)
We are given that
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3
i.e. P(A/B) is not equal P(A)
Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)
Hence A and B are not independent.
