Find the Angle $\theta$ (In Radians and Degrees) Between the Lines $\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}$

question 372

Multiple Choice

Find the angle $\theta$ (in radians and degrees) between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}$

• A) \(\Theta \approx 0.0907 \text { radians } \approx 6.2 ^ { \circ }\)
• B) \(\Theta \approx 0.0907 \text { radians } \approx 4.2 ^ { \circ }\)
• C) \(\Theta \approx 0.0907 \text { radians } \approx 5.2 ^ { \circ }\)
• D) \(\Theta \approx 0.0907 \text { radians } \approx 7.2 ^ { \circ }\)
• E) \(\Theta \approx 0.0907 \text { radians } \approx 3.2 ^ { \circ }\)

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Definitions:

Poisson Approximation

A statistical approximation method that applies the Poisson distribution to model the number of events in fixed intervals of time or space under certain conditions.

Probability

The statistical likelihood that a specific event will take place, calculated as a fraction or a percentage between 0% (never happening) and 100% (always happening).

Normal Model

A statistical model, also called the normal distribution, that describes how continuous data is distributed, shaped like a symmetric bell curve.

Standard Deviations

Measures that quantify the amount of variation or dispersion of a set of data values from the mean.