Solve the Problem $\frac { x } { a } + \frac { y } { 5 } + \frac { z } { 6 } = 1$

question 262

Multiple Choice

Solve the problem.
-For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane $\frac { x } { a } + \frac { y } { 5 } + \frac { z } { 6 } = 1$ equal to 4 ?

• A) \(a = \frac { 4 } { 5 }\)
• B) \(a = \frac { 8 } { 15 }\)
• C) \(a = \frac { 16 } { 15 }\)
• D) \(\mathrm { a } = \frac { 2 } { 5 }\)

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Definitions:

Twin Studies

Research studies that compare the similarities and differences between monozygotic (identical) and dizygotic (fraternal) twins to understand genetic and environmental influences on traits.

Personality Traits

Enduring characteristics or patterns of behavior that define an individual's responses across various situations.

Behavioral Genetics

The field of study that examines the role of genetic and environmental factors in shaping behaviors, personalities, and traits.

Personality Traits

Enduring characteristics that describe an individual's behavior, such as openness, conscientiousness, extraversion, agreeableness, and neuroticism.