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Determine If the Given Ordered Triple Is a Solution of the System

question 75

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Determine if the given ordered triple is a solution of the system.
- (4,1,5) 2x+2y+z=55x4yz=215x+y+2z=11\begin{array} { l } ( - 4 , - 1,5 ) \\2 x + 2 y + z = - 5 \\5 x - 4 y - z = - 21 \\5 x + y + 2 z = - 11\end{array}


Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

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Drawing a conclusion about a certain characteristic of a population based on a sample from it.

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The provision of reasons or evidence to justify a claim or argument.

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