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Margaret [11]
2 years ago
13

If you know that 8×300=2,400, how can you find 8×320? Explain.

Mathematics
2 answers:
tekilochka [14]2 years ago
8 0

we have

8*300=2,400

we know that

320=(300+20)

so

8*320=8*(300+20)=8*300+8*20

substitute the value of 8*300=2,400

8*320=2,400+8*20=2,400+160=2,560


KATRIN_1 [288]2 years ago
3 0
If 8x300=2,400, then 8x320 would equal 2,560. Why? Because 8x20=160. 2,400+160=2,560.
Hope this helps! :)
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96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

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Normal probability distribution

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

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96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

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