document.write( "Question 933271: a college entrance exam has a mean of 1200 and a standard deviation of 100. They will only accept applicants in the 90% percentile or higher. What is the lowest score they would need on the entrance exam? \r
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document.write( "Please help! I think I have the answer and want to check my work. \n" );
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Algebra.Com's Answer #566721 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Using a TI-84, I get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "invNorm(0.90) = 1.28155\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So z = 1.28155, and we'll use this to find the raw score x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z = (x-mu)/sigma\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.28155 = (x-1200)/100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.28155*100 = x-1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "128.155 = x-1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "128.155+1200 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1,328.155 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 1,328.155\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Round up to the nearest whole number to ensure you clear the hurdle. So you need to score a 1329 or higher to be in the 90th percentile or higher.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim\r \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------------------------------------------------ \n" ); document.write( " |