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3 years ago

What is the estimated mean absolute deviation of the population? {76,67,80,83,79,76,76,82,82

2 answers:

6 0

The mean is 77.9 so subtract each number from the mean (if it’s negative just keep the number the same and change it to positive). Once you have subtracted the mean from all the numbers (or vise versa as long as it’s positive) add the differences together and find the mean of them. There’s your answer. ☺️

Valentin [98]3 years ago

3 0

You can't really say the absolute deviation of the population to me but if you wanted to you could

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

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2 years ago

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AnnyKZ [126]

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andreev551 [17]

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3 years ago

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Zanzabum

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago