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BartSMP [9]
3 years ago
9

Shaneese is buying peanuts and cashews. she has $12 to spend. peanuts cost $3 per pound and cashews cost $4 per pound. if she bu

ys x pounds of peanuts and y pounds of cashews, then the equation that represents the amount of each is 3x + 4y = 12. what is the y-intercept?
Mathematics
1 answer:
zysi [14]3 years ago
8 0

Solution:

We are given that

Shaneese is buying peanuts and cashews.

he has $12 to spend.

peanuts cost $3 per pound and cashews cost $4 per pound.

she buys x pounds of peanuts and y pounds of cashews.

The equation that represents the amount of each is 3x + 4y = 12.

Now we have been asked to find the y-intercept.

To find the y-intercept , we need to set x=0

when x=0, equation becomes

3*0 + 4y = 12.

0 + 4y = 12.

4y = 12.

Divide both the sides by 4 we get

y = 3

Hence the y-intercept is 3.


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The linear correlation coefficient is r=1.054

Explanation:

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The formula to determine the correlation coefficient is given by

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

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Simplifying, we have,

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Dividing, we get,

r=1.054

Thus, the linear correlation coefficient is r=1.054

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