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andriy [413]
3 years ago
13

Noelle and karina both leave the Internet cafe at the same time, but in opposite directions. If karina travels 9 mph faster than

noelle and after 8 hours they are 232 miles apart, how fast is each traveling?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0
Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina

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8 0
3 years ago
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Answer:

<em>95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.</em>

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

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<em>Random sample size 'n' = 1049</em>

<em>Given margin of error for 95% confidence level = 3 % = 0.03</em>

<u><em>Step(ii):-</em></u>

<em>95% of confidence interval for the proportion is determined by</em>

(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} }  , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })<em></em>

we know that

<em>Margin of error for 95% confidence level is determined by</em>

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<u><em>Step(iii):-</em></u>

Now

<em> 95% of confidence interval for the proportion is determined by</em>

(p^{-} - M.E, p^{-} + M.E)<em></em>

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