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Vyjadrenie veličiny zo vzorca
Z nasledujúceho vzorca vyjadri veličinu uvedenú v zátvorke:
\( U=\frac{\bar{x}_{1}-\bar{x}_{2}}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}} \quad\left[\sigma_{1}\right] \)
\( \sigma_{1}=\frac{\left(\bar{x}_{1}-\bar{x}_{2}\right)^{2}+\frac{\sigma_{2}^{2}}{n_{2}} \cdot U^{2}}{U^{2}} \cdot n_{1} \)
\( \sigma_{1}=\sqrt{\frac{\left(\bar{x}_{1}-\bar{x}_{2}\right)^{2}-\frac{\sigma_{2}^{2}}{n_{2}} \cdot U^{2}}{U} \cdot n_{1}} \)
\( \sigma_{1}=\sqrt{\frac{\left(\bar{x}_{1}+\bar{x}_{2}\right)^{2}-\frac{\sigma_{2}^{2}}{n_{2}} \cdot U^{2}}{U^{2}} \cdot n_{1}} \)
\( \sigma_{1}=\sqrt{\frac{\left(\bar{x}_{1}-\bar{x}_{2}\right)^{2}-\frac{\sigma_{2}^{2}}{n_{2}} \cdot U^{2}}{U^{2}} \cdot n_{1}} \)