A student investigates the relationship between the luminosity of a star and its mass. The student obtains data of relative luminosity $$\(\lambda\)$$ and relative mass $$\(\mu\)$$ for six stars, where $$\[ \lambda=\frac{\text { luminosity of star }}{\text { luminosity of Sun }} \]$$ and $$\[ \mu=\frac{\text { mass of star }}{\text { mass of Sun }} \]$$ It is suggested that $$\(\lambda\)$$ and $$\(\mu\)$$ are related by the equation $$\[ \lambda=k \mu^{n} \]$$ where $$\(k\)$$ and $$\(n\)$$ are constants. The mass of the Sun is $$\(2.0 \times 10^{30} \mathrm{~kg}\)$$. The star Alpha Centauri B has a value of $$\(\lambda\)$$ of 0.46 . Determine the mass $$\(M\)$$ of Alpha Centauri B. $$\[ M= \]$$ kg

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