document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263636>Question 263636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The University of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate. The students are given three chances to pass the exam; 61% pass it on their first attempt, 63% of those that take it a second time pass it then, and 42% of those that take it a third time pass it then.<BR>\n" );
document.write( "What percent of the students are not allowed to graduate because of their performance on the exam? (Round the answer to the nearest whole number.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194278 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The students are given three chances to pass the exam;<BR>\n" );
document.write( "Assume there are 1000 applicants.<BR>\n" );
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document.write( "61% pass it on their first attempt,<BR>\n" );
document.write( "That leaves 1000-610 = 390 <BR>\n" );
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document.write( "63% of those that take it a second time pass it then, <BR>\n" );
document.write( "0.63*390 = 245.7<BR>\n" );
document.write( "That leaves 390-245.7 = 144.3<BR>\n" );
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document.write( "42% of those that take it a third time pass it then.<BR>\n" );
document.write( "0.42*144.3 = 60.06<BR>\n" );
document.write( "That leaaves 144.3-60.06 = 83.69 students who have not passed the test<BR>\n" );
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document.write( "What percent of the students are not allowed to graduate because of their performance on the exam?<BR>\n" );
document.write( "% = 83.69/1000 = 0.08360 = 8%<BR>\n" );
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document.write( "If you start with \"x\" students<BR>\n" );
document.write( "Percent that fail after three tests = x*0.39*0.37*0.58 = 0.0837 = 8%<BR>\n" );
document.write( " (Round the answer to the nearest whole number.)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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