Solve the Problem $\mathrm { POQ }$ Be Designated $\theta$ Angles $\mathrm { PQR }$

question 126

Multiple Choice

Solve the problem.
-Let angle $\mathrm { POQ }$ be designated $\theta$ . Angles $\mathrm { PQR }$ and VRQ are right angles. If $\theta = 45 ^ { \circ }$ , find the exact length of VR.

• A) \(\frac { \sqrt { 2 } } { 2 }\)
• B) \(\sqrt { 2 }\)
• C) 0
• D) 1

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Definitions:

Alternative Hypothesis

A hypothesis that directly contradicts the null hypothesis, suggesting that there is a significant effect or difference between groups or variables.

μ ≠ 3

Symbolic representation in hypothesis testing indicating that the population mean is not equal to 3, suggesting a two-tailed test.

Assumption

A basic condition that is accepted as true without proof in order to proceed with a calculation, argument, or analysis.

Non-directional Alternative Hypothesis

An alternative hypothesis that does not specify the direction of the expected difference or relationship, only that one exists.