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lesya692 [45]
3 years ago
11

Mr. Mendez ran 13.1 miles at a constant rate for 150 minutes.To find how he ran,you solve the equation 13.1=x•150.What does x re

present?
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

His speed in miles per minute

Step-by-step explanation:


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A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati
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The 100(1-\alpha)\% confidence interval of a standard deviation is given by:

\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval, 

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Therefore, the 90% confidence interval for the standard deviation is given by

\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\  \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\  \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\  \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59}  \\  \\ \Rightarrow41.4\leq\sigma\leq63.7
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