Identify the Conic and Select Its Correct Graph $r = \frac { 10 } { 2 - \cos \theta }$

question 82

Multiple Choice

Identify the conic and select its correct graph. $r = \frac { 10 } { 2 - \cos \theta }$

• A) \(\quad e = 2 > 1 \Rightarrow\) Hyperbola
• B) \(e = \frac { 1 } { 2 } < 1 \Rightarrow\) Ellipse
• C) \(e = \frac { 1 } { 2 } < 1 \Rightarrow\) Ellipse
• D) \(\quad e = 5 > 1 \Rightarrow\) Hyperbola
• E) \(e = 2 > 1 \Rightarrow\) Hyperbola

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Definitions:

Null Hypotheses

In statistical analysis, assumptions made for the purpose of testing, asserting no significant difference or effect is expected.

Alternative Hypotheses

In statistical hypothesis testing, it is the hypothesis that proposes a difference or effect, in contrast to the null hypothesis which proposes no effect or relationship.

Type II Error

Refers to the error that occurs when a statistical test fails to reject a false null hypothesis.

Type I Error

Falsely rejecting a true null hypothesis, widely recognized as a "false positive."