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ra1l [238]
3 years ago
8

Help!! YEEEEEEEEEEEEEEEEEET

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

Answer:

Step-by-step explanation:

Degree of quadratic equation is 2

So, y = (x + 2)² - 6    ; y = x² - 4x + 2  & y = -(x -2)² + 5  are quadratic equation

(a + b)² = a² + 2ab + b²

y = (x + 2)² - 6

y = x² + 2*x*2 + 2² -6

y= x² + 4x + 4 -6

y= x² + 4x - 2

Degree = 2    

y = -(x - 2)² + 5

y = -[ x² - 2*x*2 + 2²] + 5

y = -[x² - 4x + 4)+5

y = -x² + 4x - 4 + 5

y = -x² + 4x + 1

Degree = 2

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A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

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=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

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

Here assume that Z_{\frac{\alpha }{2} } \ and \  \sigma \ is constant so

     E =  \frac{k}{\sqrt{n} }

=>  E \sqrt{n} = K

=>   E_1 \sqrt{n}_1 =  E_2 \sqrt{n}_2

So  let  n_1 = 400 and n_2 =  100

=>   E_1 \sqrt{400} =  E_2 \sqrt{100}

=>  E_1 =  \frac{\sqrt{100} }{\sqrt{400} } E_2

=>  E_1 =  \frac{1}{2 } E_2

So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100

   

     

   

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3 years ago
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Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
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= 20.5 + 9.75 + 14.2 + 15.4 + 18.4 = 78.25 or 78% in whole number

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