Find an Equation for the Hyperbola That Has Vertices $( \pm \sqrt { 7 } , 0 )$

question 14

Essay

Find an equation for the hyperbola that has vertices $( \pm \sqrt { 7 } , 0 )$ and passes through the point $( - 4,6 )$ .

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Definitions:

Standard Deviation

An indicator that evaluates how much the data in a set diverges or spreads out in comparison to the average value, showing the extent of distribution of the observations.

Student's T Distribution

A probability distribution used in statistical analysis for small sample sizes, where the population variance is unknown.

Normal Distribution

A bell-shaped curve, describing the spread of a characteristic throughout a population, where most data points are around the mean and the probability of extreme values decreases as one moves away from the mean.

Population Standard Deviation

A measure of the spread of a set of values within a population, calculated as the square root of the variance.