My god, this is tricky but it's between D and E.
I think it should be e.
The incorrect step in Talia's solution is the step 4 which is "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)
This is the correct steps.
The answer would be A because a <span>correlation coefficient is only </span>
By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of 
in every term of the numerator cancels with in the denominator:
Finally, each term containing approaches 0 as 
, and the derivative is
In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.
