Graph the Ellipse and Locate the Foci $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$$

question 112

Multiple Choice

Graph the ellipse and locate the foci.
- $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$$

• A) foci at \(( \sqrt { 21 } , 0 )\) and \(( - \sqrt { 21 } , 0 )\)
• B) foci at \(( 2 \sqrt { 5 } , 0 )\) and \(( - 2 \sqrt { 5 } , 0 )\)
• C) \(\text { foci at }(2 \sqrt{3}, 0) \text { and }(-2 \sqrt{3}, 0)\)
• D) \(\text { foci at }(0,2 \sqrt{3}) \text { and }(0,-2 \sqrt{3})\)

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Definitions:

Hypotheses

Statements made for the purpose of testing with statistical analysis, to see if there is enough evidence to support a particular belief or theory.

Significance Level

A threshold in hypothesis testing that determines the probability of rejecting a true null hypothesis, denoted as alpha (α).

Population Variance

The measure of the dispersion of all values in a population from the population mean.

Population Variance

A measure of the spread or dispersion within a set of data points in a population, indicating how much the data varies from the average.