Find the Eccentricity of the Ellipse $$25 x ^ { 2 } + 64 y ^ { 2 } = 1600$$

question 300

Multiple Choice

Find the eccentricity of the ellipse.
- $$25 x ^ { 2 } + 64 y ^ { 2 } = 1600$$

• A) \(\frac { \sqrt { 39 } } { 8 }\)
• B) \(\frac { 39 } { 8 }\)
• C) \(\frac { \sqrt { 89 } } { 8 }\)
• D) \(\frac { \sqrt { 39 } } { 5 }\)

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Definitions:

Binomial Distribution

A probability distribution that summarizes the number of successes in a fixed number of binary experiments.

Poisson Distribution

A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming that these events occur with a known constant rate and independently of the time since the last event.

Hypergeometric Random Variable

A type of discrete random variable that describes the number of successes in a sequence of draws from a finite population without replacement.

With Replacement

A sampling method where each item is replaced back into the population before the next item is selected, allowing for repeated selection.