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givi [52]
3 years ago
5

What number must be added to the polynomial to complete the square? Use the slash mark ( / ) as a fraction bar if necessary.x2 +

x
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0
X does not equal one but there is 1x in the problem so  it is 1.
So.. to complete the square you always take 1/2 of that number.

so half of 1 is 1/2.
Then you square that number 1/2 * 1/2 = 1/4 <span>
</span>
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Read 2 more answers
Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

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The 90% confidence interval for the mean test score is between 77.29 and 85.71.

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3 years ago
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