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andriy [413]
3 years ago
7

If y varies inversely with x and y= 17 when z = 11 when y = 11 find y when x=19 .

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0
Where’s your z? incomplete question
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Consider the following set of data:
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Assume ∆ EFG ≅ ∆ JKL. If m∠J =90, m∠K =26, what is the measure of ∠E ?
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8 0
3 years ago
A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati
Marysya12 [62]
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, 

\chi^2_{1- \frac{\alpha}{2} }=43.773 \\  \\ \chi^2_{\frac{\alpha}{2} }=18.493

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
3 0
3 years ago
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