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kkurt [141]
3 years ago
9

Quadratic formula for 2x^2-x-3=0

Mathematics
2 answers:
Inessa [10]3 years ago
8 0
Ax^2+bx+c=0
a=2
b=-1
c=-3
b+-sqrt( b^2 - 4ac)
          2a

so...
-1 +- sqrt(1 + 24)
           4
-1 +- 5
    4
x= -1 + 5 = 1
         4
or
x= -1 - 5 = -3/2
         4
pychu [463]3 years ago
6 0
x=1x⁺₋√-1x²-4*2x^2*-3/2(2x^2
This is the equation.

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Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

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So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

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