Answer:
Option B.
Step-by-step explanation:
In a regression of y in x, the proportion oh the variation in y explained by the variable x is shown in the R-squared value. So, for answering this question we need to look at the R-squared of such regression.
In this case the R-squared is 98.9% (or 0.989), so we will the option that matches this value. Looking at your options, the one that matches the R-squared is option B.
So, B is the correct option.
Answer:
This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3
Step-by-step explanation:
The given function is

When we differentiate this function with respect to x, we get;

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)
This implies that;




![c-3=\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c-3%3D%5Csqrt%5B3%5D%7B63.15789%7D)
![c=3+\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c%3D3%2B%5Csqrt%5B3%5D%7B63.15789%7D)

If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).
But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.
The answer is choice A.
In this problem, we are shrinking the poster by 1/4 of its size.
Which means you need to divide the sides by 4
For width:

For length:
Divide the number of people by the number of plates per pack:
138 / 12 = 11.5
He need to buy 12 packs of plates to have enough.
Yes, that is true, you have to simplify -42/-45 to be able to see if they are equivalant.