document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193724>Question 1193724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Erika’s teacher summarized the achievement test results of her class in the table below. Erika’s score is 79 and claims that she belongs to the upper 20% of her class. Prove that her claim is correct.\r<BR>\n" );
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document.write( "Score  f<BR>\n" );
document.write( "90-99  3<BR>\n" );
document.write( "80-89  4<BR>\n" );
document.write( "70-79  6<BR>\n" );
document.write( "60-69  11<BR>\n" );
document.write( "50-59  8<BR>\n" );
document.write( "40-49  5<BR>\n" );
document.write( "30-39  3\r<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 #825769 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "With only the data provided, she <b><i>cannot</i></b> prove that she is in the top 20% of the class.  In order to be in the top 20% of the class, she would have to be one of the top eight out of the 40 students -- <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{8}{40}\ =\ 0.20\">. This is only possible if she was the <b><i>ONLY</i></b> student in the 70-79 range who scored 79.  If only one other student in that range scored 79 also, then she could only prove that she was in the top 22.5% of the class.  The data does not specify how many of the six students in the 70-79 range scored 79; it could have been all six.  Her only other option to prove the top 20% claim would be to somehow demonstrate that she was superior in some way to any other student who scored exactly 79.\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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