Answer:
A.)
Step-by-step explanation:
Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.
The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).
g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)
Answer:
Step-by-step explanation:
Since we have points (-1,5) and (3,4) we can find the slope m of y=mx+b
m=(y2-y1)/(x2-d1)=(5-4)/(-1-3)=1/-4=-1/4 so we have
y=-x/4+b, using point (3,4) we can solve for the y intercept, b.
4=-3/4+b, b=19/4, so the line is
y=(-x+19)/4
Answer:
Mean = 1.57
Variance=0.31
Step-by-step explanation:
To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:
1) Both surgeries are successful (X=2).

2) Left knee unsuccessful and right knee successful (X=1).

3) Right knee unsuccessful and left knee successful (X=1).

4) Both surgeries are unsuccessful (X=0).

Then, the mean can be calculated as the expected value:

The variance can be calculated as:
