Use a Graph to Estimate the Values Of $\theta$ For Which the Curves

question 12

Multiple Choice

Use a graph to estimate the values of $\theta$ for which the curves $r = 9 + 3 \sin 5 \theta$ and $r = 18 \sin \theta$ intersect. Round your answer to two decimal places.

• A) \(\theta = 1.48\)
• B) \(\theta = 0.58\)
• C) \(\theta = 4.7\)
• D) \(\theta = 0.49\)
• E) \(\theta = 2.57\)

---

Definitions:

Normal Approximation

A statistical method that applies the normal distribution to approximate the distribution of various sample statistics under certain conditions.

Two-Sided P-Value

The probability of observing an effect at least as extreme as the test statistic, considering both tails of the distribution in a two-sided test.

Identical Distributions

A statistical scenario where two or more probability distributions are the same across all outcomes, implying equal behavior and properties.

Wilcoxon Rank Sum Test

A nonparametric statistical test that compares two independent samples to assess whether their population mean ranks differ.