document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069681>Question 1069681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the mean score of the students who took a mathematics test was 6. exactly 60% of the student pass the test. the mean score of the student who passed the test was 8. what is the mean score of the student who failed the test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684846 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maybe all that is expected is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= mean score of the students failing the test<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= mean score represents a \"weighted average\" of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2260%25%22=60%2F100=0.6 ALIGN=MIDDLE  ALT=\"%2260%25%22=60%2F100=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the students with a mean score of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22100%25%22-%2260%25%22=40%25=40%2F100=0.40 ALIGN=MIDDLE  ALT=\"%22100%25%22-%2260%25%22=40%25=40%2F100=0.40\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the students with a mean score of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x%2B0.6%2A8=6 ALIGN=MIDDLE  ALT=\"0.4x%2B0.6%2A8=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x%2B4.8=6 ALIGN=MIDDLE  ALT=\"0.4x%2B4.8=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x=6-4.8 ALIGN=MIDDLE  ALT=\"0.4x=6-4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x=1.2 ALIGN=MIDDLE  ALT=\"0.4x=1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.2%2F0.4 ALIGN=MIDDLE  ALT=\"x=1.2%2F0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "A DIFFERENT EXPLANATION:<BR>\n" );
document.write( "We are told that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= mean score of the students who took the test<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >= mean score of the students who passed the test <BR>\n" );
document.write( "and also that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2260%25%22=60%2F100=0.60 ALIGN=MIDDLE  ALT=\"%2260%25%22=60%2F100=0.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the fraction of students who passed the test,<BR>\n" );
document.write( "meaning that unfortunately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22100%25%22-%2260%25%22=40%25=40%2F100=0.40 ALIGN=MIDDLE  ALT=\"%22100%25%22-%2260%25%22=40%25=40%2F100=0.40\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the fraction of students who failed the test.<BR>\n" );
document.write( "Let us say that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= total number of students taking the test,<BR>\n" );
document.write( "and we want to find<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= mean score of the students failing the test<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.60n ALIGN=MIDDLE  ALT=\"0.60n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of students passing the test<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.40n ALIGN=MIDDLE  ALT=\"0.40n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of students failing the test<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2An ALIGN=MIDDLE  ALT=\"6%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" >= sum of scores of all students taking the test<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%280.60n%29 ALIGN=MIDDLE  ALT=\"8%2A%280.60n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= sum of scores of students passing the test<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.40n%29%2Ax ALIGN=MIDDLE  ALT=\"%280.40n%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >= sum of scores of students passing the test<BR>\n" );
document.write( "So.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4nx%2B8%2A0.6n=6%2An ALIGN=MIDDLE  ALT=\"0.4nx%2B8%2A0.6n=6%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4nx%2B4.8n=6n ALIGN=MIDDLE  ALT=\"0.4nx%2B4.8n=6n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.4x%2B4.8%29n=6n ALIGN=MIDDLE  ALT=\"%280.4x%2B4.8%29n=6n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x%2B4.8=6 ALIGN=MIDDLE  ALT=\"0.4x%2B4.8=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x=6-4.8 ALIGN=MIDDLE  ALT=\"0.4x=6-4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4x=1.2 ALIGN=MIDDLE  ALT=\"0.4x=1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.2%2F0.4 ALIGN=MIDDLE  ALT=\"x=1.2%2F0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );