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Alenkinab [10]
4 years ago
13

Farmer ed has 200 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. if farmer ed does not fen

ce the side along the​ river, find the length and width of the plot that will maximize the area. what is the largest area that can be​ enclosed
Mathematics
1 answer:
Nady [450]4 years ago
3 0
I have no "real" answer, because the river may curve...

Fun answer: farmer Ed clearly does not realize you can Not create a rectangular plot that borders a river unless it is artificial and instead of dirt, it would Need to be concrete to ensure a constant straight edge; although even in that case, it would no longer Be a river! It would be a mote or channel. So this problem is unsolvable at his current standards.
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Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison conducted a study of d
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Answer:

The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

Step-by-step explanation:

In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (\hat y) is known as the residual (<em>e</em>).

e=y-\hat y

The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).

The general form of a least square regression line is:

\hat y=\alpha +\beta x

The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:

\hat y=0.8790+10.6471 x

Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:

\hat y=0.8790+10.6471 x

  =0.8790+(10.6471\times 0.11)\\=0.8790+1.171181\\=2.050181\\\approx 2.05

The predicted value of <em>y</em> is, \hat y=2.05.

The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.

Compute the residual age of this lion as follows:

e=y-\hat y

  =1.90-2.05\\=-0.15

Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

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