Find an Equation for the Hyperbola That Has Vertices $( \pm 3,0 )$

question 50

Multiple Choice

Find an equation for the hyperbola that has vertices $( \pm 3,0 )$ and asymptotes $y = \pm 5 x$

• A) \(\frac { x ^ { 2 } } { 225 } - \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { y ^ { 2 } } { 3 } - \frac { x ^ { 2 } } { 15 } = 1\)
• C) \(x ^ { 2 } - \frac { y ^ { 2 } } { 5 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 225 } = 1\)
• E) none of these

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Definitions:

Process Variability

The natural or inherent variations in a process, reflecting the differences in output or results when the process is repeated under the same conditions.

S Chart

A type of control chart used for monitoring the variability of a process over time, particularly when sample sizes are constant.

Process Capability Index

A statistical measure that quantifies how well a process can produce output within specification limits compared to its natural variability.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of values.