Given:
To find:
The variance. of combined set.
Solution:
Formula for variance is
...(i)
Using (i), we get
Similarly,
Now, after combining both sets, we get
Therefore, the variance of combined set is 15.4.
Answer:
The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.
(Please don't get mad or report this answer, the work is below, so you may see for yourself.)
Step-by-step explanation:
Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:
-6x + 9 = -3x + 3
Next we will solve for x by isolating it:
So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.
Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:
y = -3(2) + 3
-3 × 2 = -6 and -6 + 3 = -3
So: y = -3
Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).
As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)
No because there are two different outputs for the same input. (9)
To find this, just plug the numbers into the expressions.
5x = y
5(2) = 7
10 = 7
So it can't be A.
x + 2 = y
2 + 2 = 7
4 = 7
x + 4 = y
2 + 4 = 7
6 = 7
2x + 3 = y
2(2) + 3 = 7
7 = 7
The correct answer is
D. 2x + 3
