Given that f(x)=x^2+4x-32f(x)=x

Mathematics

1 answer:

Margaret [11]2 years ago

8 0

Answer:

So your question was not very clear but with (f+g) im guessing thats f(x)+g(x)

So first we add them x^2+4x-32 + x-4 then we will get x^2 + 5x - 36

Then we need to multiply both

(x^2+5x-36)(x^2+5x-36)

(x^2+5x-36)^2

The only reason im not solving it out is because it yields large numbers and you might not understand.

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Ok guys my friend is telling me that i am doing this problem wrong 4^4+1/2=256.5 and he is tell me that it is 16.5 am i right or

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Simplify 4^4 to 256

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What is the value of the correlation coefficient r of the data set?

enyata [817]

The correct option will be: C) 0.84

Explanation

Formula for Correlation coefficient :

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}$

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$