Find the Standard Form of the Equation of the Ellipse $( 4 , - 6 ) , ( 4,10 ) \quad$

question 16

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
vertices: $( 4 , - 6 ) , ( 4,10 ) \quad$ minor axis of length: 4

• A) \(\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 64 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x - 4 ) ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 64 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1\)
• E) \(\frac { ( x + 2 ) ^ { 2 } } { 64 } + \frac { ( y + 4 ) ^ { 2 } } { 4 } = 1\)

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Definitions:

Significance Level

The threshold below which a p-value is considered statistically significant, indicating the probability of rejecting the null hypothesis when it is true.

Confidence Interval

A set of statistical outcomes, derived from a sample, anticipated to contain the value of an unspecified population parameter.

Checking Accounts

These are types of bank accounts that allow for both deposits and withdrawals, commonly used for everyday transactions.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are from the mean.