Solve the Problem $\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 4 \mathrm { a } ^ { 2 } + 20 \mathrm { a } + 27$

question 196

Multiple Choice

Solve the problem.
-The population P of a predator mammal depends upon the number x of a smaller animal that is its primary food source. The population s of the smaller animal depends upon the amount a of a certain plant that is its
Primary food source. If P(x) = 3x2 + 2 and s(a) = 2a + 5, what is the relationship between the predator mammal
And the plant food source?

• A) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 4 \mathrm { a } ^ { 2 } + 20 \mathrm { a } + 27\)
• B) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 6 \mathrm { a } + 7\)
• C) \(P ( s ( a ) ) = 12 a ^ { 2 } + 30 a + 77\)
• D) \(P ( s ( a ) ) = 12 a ^ { 2 } + 60 a + 77\)

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Definitions:

Significance Level

A threshold in hypothesis testing, typically denoted by alpha, that determines the probability of rejecting the null hypothesis when it is actually true, used to assess the strength of the evidence against the null hypothesis.

Age Categories

Segments of the population divided based on age for the purpose of analysis, often used in demographic studies, marketing, and social research.

Music Listeners

Individuals or a group of people who engage in the act of listening to music.

Significance Level

A threshold in hypothesis testing that determines the probability of rejecting the null hypothesis when it is actually true, usually denoted by alpha (α).