document.write( "Question 1190748: The mean of a set of numbers is 500.
\n" ); document.write( "a. If 10 is added to each of the numbers in the set, then what will be the mean of the new set?
\n" ); document.write( "b. If each of the numbers in the set are multiplied by -5, then what will be the mean of the new
\n" ); document.write( "set?
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Algebra.Com's Answer #822498 by math_helper(2461)\"\" \"About 
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\n" ); document.write( "\"a%5B1%5D%2Ba%5B2%5D+\"+...+\"a%5Bn%5D\" / n = 500 (1)\r
\n" ); document.write( "\n" ); document.write( "(a)
\n" ); document.write( "Adding 10 to each term gives\r
\n" ); document.write( "\n" ); document.write( "\"+%28a%5B1%5D%2B10%29%2B%28a%5B2%5D%2B10%29+\"+...+\"+%28a%5Bn%5D%2B10%29+\" / n
\n" ); document.write( "Notice we've add 'n' 10's:
\n" ); document.write( "= ( \"+10n+%2B+a%5B1%5D%2Ba%5B2%5D+\"+...+\"a%5Bn%5D\" ) / n\r
\n" ); document.write( "\n" ); document.write( "Writing it slightly different:
\n" ); document.write( "= ( \"+10n%2Fn+\" ) + (\"+a%5B1%5D%2Ba%5B2%5D+\"+...+\"a%5Bn%5D\" ) / n \r
\n" ); document.write( "\n" ); document.write( "The second paren's is just 500 (from (1))
\n" ); document.write( "= 10 + 500 = \"+highlight%28510%29+\"\r
\n" ); document.write( "\n" ); document.write( "(b)
\n" ); document.write( "Multiplying each term by k results in a new mean that is k*(original_mean)\r
\n" ); document.write( "\n" ); document.write( "So the new mean if you multiply by -5 is -5 * 500 = \"highlight%28-2500%29\"\r
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