Find the equation of the hyperbola that satisfies the following properties: Center at (3, -2), vertices at (5, -2) and (1, -2), and asymptotes given by the equations y = -x + 1 and y = -x - 5. (
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What are the characteristics of a hyperbola with the equation \( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \)?
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What is the formula for calculating variance in statistics?