Find an Equation of the Sphere with Center $( 7 , - 5,7 )$

question 42

Multiple Choice

Find an equation of the sphere with center $( 7 , - 5,7 )$ that touches the $x y$ -plane.

• A) \(( x + 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 49\)
• B) \(( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• C) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 40\)
• D) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• E) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 7\)

Understand the mathematical representations and formulas associated with measures of variability.

Distinguish between various types of variability measures in terms of ease of calculation and information they provide.

Understand the concept of standard deviation and variance in data dispersion.

Identify the symbols and their meanings within statistical formulas (e.g., n refers to sample size).

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Definitions:

Renal Papillae

The apex of the renal pyramid which projects into the lumen of the minor calyx of the kidney, allowing for urine to flow into the ureter.

External Urinary Opening

The external opening of the urinary tract through which urine is expelled from the body; in males, it is located at the tip of the penis, and in females, it is situated in the vulva.

Urethra

The tube that conducts urine from the bladder to the outside of the body in both males and females, and also transports semen in males.

Concave Border

A term describing a curve or outline that curves inward, as seen in various anatomical structures.