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geniusboy [140]
3 years ago
9

A group of 169 students needs to be seated in a square formation for a

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

r =  \sqrt{169} = 13

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows <em>N </em>can be calculated as :-

{N}^{2} = 1024

N =  \sqrt{1024}

N = 32

<h3><u>Final Answer :-</u></h3>

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

-------------------<em>★</em><em>-</em>------------------

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Correct question is;

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons.

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We are given;

Sample mean; x' = 74

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A) We are not given the population mean.

So the closest estimate to the population mean would be the sample mean which is 74.

B) We are not given the population standard deviation and as such we can't use normal distribution. So what is used when population standard deviation is not known is called t - distribution table. The assumption we will make is that the population follows the normal distribution.

C) At confidence interval of 90% and DF = n - 1 = 21 - 1 = 20

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Thus 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) 68 gallons lies within the range of the confidence interval, thus we can say that "Yes, it is reasonable"

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