Find the Standard Form of the Equation of the Hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$

question 426

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,±4) focies: (0,±5)

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 25 } = 1\)
• C) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 1\)
• D) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 25\)
• E) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1\)

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Definitions:

Probability

A quantification of the chance of an event taking place, assigned a value between 0, which denotes that the event is impossible, and 1, which denotes absolute certainty of the event happening.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely over a certain range.

Electronics Test

A process or methodology applied to identify the functionality, reliability, and performance of an electronic device or system.

Median Waiting Time

The middle value in a dataset of waiting times, which divides the distribution into two equal halves, indicating that half of the waiting times are above this value and half are below it.