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Xelga [282]
3 years ago
10

It is 42 1/2 miles from Eaton to Baxter and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington if yo

u go by way of Baxter?
Mathematics
1 answer:
mina [271]3 years ago
5 0
All you need to do is add the miles from Eaton to Baxter and from Baxter to Wellington to get your answer...

42 + 37 = 79 

Now we need to add the fractions 

\frac{1}{2} +  \frac{4}{5} = ...


To add we need a common denominator. 
2 and 5 can both go into 10, so that will be a our common denominator. 
Now you have... 
\frac{5}{10} + \frac{8}{10} = \frac{14}{10}
which is equal to 1 \frac{2}{5}
add that to the 79 we got earlier ...

The toal and final answer is 80 \frac{2}{5} miles !
Hope I helped and remember to vote this as the brainliest answer ! :)
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<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>

<em>(0.414 ,0.474)</em>

Step-by-step explanation:

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<em>Given sample proportion </em>

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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>

M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }

<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>

<em>Given Margin of error </em>

<em>                               M.E = 0.03</em>

<em>Now 95% of confidence interval for the proportion</em>

(0.444 - 0.03, 0.444+ 0.03)<em></em>

<em>(0.414 ,0.474)</em>

<u><em>Conclusion:-</em></u>

<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>

<em>(0.414 ,0.474)</em>

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