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Nostrana [21]
3 years ago
8

Ms. brown's class will raise rabbits for their spring science fair. they have 24 feet of fencing with which to build a rectangul

ar rabbit pen in which to keep the rabbits. if ms. brown's students want their rabbits to have as much room as possible, how long would each of the sides of the pen be?how long would each of the sides of the pen be if they had only 16 feet of fencing?
Mathematics
1 answer:
telo118 [61]3 years ago
7 0
Each side of the fence should have 6 feet if they have 24 feet and if they have 16 feet then each side will be 4 feet long.
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The solution set for 7q^2-28=0
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7q² - 28 = 0
     + 28 + 28
       7q² = 28
         7      7
         q² = 4
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          q = 4    or    q = -4

Solution Set: {±4} and {q|q = 4 or q = -4}
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3 years ago
Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 45
krok68 [10]

Answer:

a

The 95% confidence interval is 1003  <  \mu

b

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu =  1000

   The sample size is  n =  453

   The sample mean is  \= x  = 1013

    The standard deviation is s =  108

   

Given that the confidence level is  95% then the level of significance is mathematically represented as

            \alpha  =  100 - 95

=>         \alpha  =  5\%

=>          \alpha  = 0.05

The critical value  for \frac{\alpha }{2} obtained from the normal distribution table is          

          Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

=>     E =  1.96 *  \frac{108}{\sqrt{453} }

=>      E = 9.946

Generally the 95% confidence interval is mathematically represented as

           \= x  - E  <  \mu <  \= x + E

=>         1013  - 9.946  <  \mu < 1013  + 9.946

=>         1003  <  \mu

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States

 

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Step-by-step explanation:

4 0
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shusha [124]
D y=2x + 1
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3 0
3 years ago
What’s the radius of center (-2,1) and contains the point (2,-1)
solniwko [45]
<h2>Radius of a Circle Given Center and Point</h2>

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

  • (x_1,y_1) is one point and (x_2,y_2) is another

<h2>Solving the Question</h2>

We're given:

  • Center: (-2,1)
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Plug these given points into the formula for distance:

d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47

<h2>Answer</h2>

Therefore, the radius of the circle is \sqrt{20} units, or approximately 4.47 units.

8 0
2 years ago
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