The Masses $m _ { i }$ Are Located at the Points

question 44

Multiple Choice

The masses $m _ { i }$ are located at the points $P _ { i }$ . Find the moments $M _ { x }$ and $M _ { y }$ and the center of mass of the system.
$$\begin{array} { l } m _ { 1 } = 5 , m _ { 2 } = 9 , m _ { 3 } = 10 \\P _ { 1 } ( 1,5 ) , P _ { 2 } ( 3 , - 2 ) , P _ { 3 } ( - 2 , - 1 ) \end{array}$$

• A)
• \[M _ { x } = 12 , M _ { y } = - 3 , \left( \frac { 1 } { 2 } , \frac { 1 } { 8 } \right)\]
• B)
• \[M _ { x } = 3 , M _ { y } = - 12 , \left( \frac { 1 } { 8 } , \frac { 1 } { 2 } \right)\]
• C)
• \[M _ { x } = - 3 , M _ { y } = 12 , \left( - \frac { 1 } { 8 } , \frac { 1 } { 2 } \right)\]
• D)
• \[M _ { x } = 12 , M _ { y } = - 3 , \left( \frac { 1 } { 8 } , \frac { 1 } { 2 } \right)\]
• E)
• \[M _ { x } = - 3 , M _ { y } = 12 , \left( \frac { 1 } { 2 } , \frac { 1 } { 8 } \right)\]

Evaluate the consequences of environmental exploitation and conservation efforts.

Understand the definition and range of p-values in hypothesis testing.

Distinguish between null and alternative hypotheses.

Understand the relationship and trade-off between Type I and Type II errors.

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