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statuscvo [17]
4 years ago
13

Which choice is equivalent to the product below when x > 0?

Mathematics
2 answers:
Korvikt [17]4 years ago
7 0
\sqrt{ \frac{3x}{2} } \cdot  \sqrt{ \frac{x}{6} } = \sqrt{ \frac{3x^2}{12} } = \frac{ \sqrt{3} x}{2 \sqrt{3} } = \frac{x}{2}
OLEGan [10]4 years ago
7 0
This is equal to √(3x²/12) = √(x²/4) = x/2
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We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

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CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

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CI(\mu)=\lbrack28.94,31.06\rbrack

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1 year ago
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