document.write( "Question 974082: In a normal distribution with mu = 100 and sigma = 4 what number corresponds to z = -3? \n" ); document.write( "
Algebra.Com's Answer #596107 by jim_thompson5910(35256)\"\" \"About 
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\"z+=+%28x-mu%29%2Fsigma\"\r
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\n" ); document.write( "\n" ); document.write( "\"z+=+%28x-100%29%2F4\" Plug in the given mu and sigma\r
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\n" ); document.write( "\n" ); document.write( "\"-3+=+%28x-100%29%2F4\" Plug in the given z-score\r
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\n" ); document.write( "\n" ); document.write( "\"-3%2A4+=+4%2A%28x-100%29%2F4\" Multiply both sides by 4.\r
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\n" ); document.write( "\n" ); document.write( "\"-12+=+x-100\"\r
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\n" ); document.write( "\n" ); document.write( "\"-12%2B100+=+x-100%2B100\" Add 100 to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"88+=+x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=88\"\r
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\n" ); document.write( "\n" ); document.write( "The raw score of \"x=88\" corresponds to \"z=-3\"\r
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