Describe the Given Set of Points with a Single Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169$

question 132

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle in which the plane through the point (5, -8, -2) perpendicular to the x-axis meets the sphere of radius 13 centered at the origin.

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169\) and \(z = 5\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 144\) and \(y = 5\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 119\) and \(y = 5\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169\) and \(x = 5\)

---

Definitions:

Two-Tail Test

A statistical test that considers extreme values in both tails of the distribution to test for a significant difference.

Multinomial Experiment

An experiment that leads to outcomes classified into more than two categories, which are mutually exclusive and exhaustive.

Binomial Experiment

A statistical experiment that fits the criteria of having a fixed number of trials, two possible outcomes per trial, identical probability of success, and each trial being independent.

Multinomial Experiment

An experiment that leads to outcomes categorized into two or more non-overlapping categories.