An Elliptical Riding Path Is to Be Built on a Rectangular

question 434

Multiple Choice

An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 100 } = 1\)
• B) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1\)

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Definitions:

Standard Deviation

A measure indicating the spread or discrepancy among quantities in a dataset.

Sample Mean

The average value of a sample set of data, used as an estimate of the population mean.

Population Distribution

The spread of people across locations, often analyzed for understanding demographics or economic conditions.

Skewed

describes a distribution that is not symmetrical, with a longer tail on one side of the peak than the other.