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Alex73 [517]
3 years ago
13

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Mathematics
1 answer:
Orlov [11]3 years ago
6 0
For you to make an equation a quadratic equation, you need everything to be on one side, so you add one to both sides. 

<span>2x^2 + 3x + 0=0 </span>

<span>a=2, b=3, c=0 </span>

<span>b^2-4ac (In the next step just plug in your variables) </span>

<span>3^2 - 4(2)(0) </span>

<span>9 - 8(0) </span>

<span>9 - 0 </span>

<span>Your answer=9</span>
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Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

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

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

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The sample size needed is 2401.

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