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MariettaO [177]
3 years ago
9

Farmer Justin needs to build a rectangular enclosure for his pet pig. He has 500 meters of fencing material to use. What dimensi

ons should he use to maximize the area? Thanks!
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0
20 by 25, I think. It is the enclosure with the most open space.
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Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distributi
Kaylis [27]

Answer:

a) 27

b) 15

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

M = \frac{a + b}{2}

The variance of the uniform distribution is given by:

V = \frac{(b-a)^{2}}{12}

The standard deviation is the square root of the variance.

They can be said to follow a Uniform distribution from 1 to 53

This means that a = 1, b = 53

a. The mean of this distribution is

M = \frac{a + b}{2} = \frac{1 + 53}{2} = 27

b. The standard deviation is:

s = \sqrt{V} = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(53-1)^{2}}{12}} = 15

7 0
4 years ago
What is the resulting ordered pair if the value of the independent variable is 2?
quester [9]
To find f(2), put 2 where the variable is, then do the arithmetic. It might be easier to factor out x^2:
  f(x) = (-6x-4)·x^2
  f(2) = (-6·2-4)·2^2
  = -16·4
  = -64

Then the ordered pair (x, f(x)) for x=2 is
  B. (2, -64)
5 0
3 years ago
Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?
8_murik_8 [283]

Answer:  (-\infty, 8)

Step-by-step explanation:

Given the following inequality:

0.35x - 4.8 < 5.2 -0.9x

You need to solve for "x" in order to find the solution.

The steps are:

1. Add 0.9x to both sides of the inequality:

0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8

2. Add 4.8 to both sides:

1.25x-4.8+4.8

3. Divide both sides by 1.25:

\frac{1.25x}{1.25}

Notice that "x" is  less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

(-\infty, 8)

8 0
3 years ago
Read 2 more answers
What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125
Pepsi [2]

Answer:

  • 5/4

Step-by-step explanation:

<u>Given infinite geometric series</u>

  • 1/4, 1/5, 4/25, 16/125, ...

<u>We see that</u>

  • a = 1/4
  • r = 4/5

<u>Sum of the series</u>

  • S = a*1/(1 -r)
  • S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4
4 0
3 years ago
Read 2 more answers
A rectangle measures 4 by 6 inches. If the lengths of each side double, what is the effect on the area?
Vikentia [17]
4 x 6 = 24.
Double the dimensions.
8 x 12 = 96

If the dimensions were to double, the area would quadruple.
4 0
3 years ago
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