document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031032>Question 1031032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to Chebyshev's theorem, 36% lie between ___ and ___ if mean is 42 and standard deviation is 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645786 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Between 27 and 57.<BR>\n" );
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document.write( "Chebyshev's Theorem says that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28abs%28X+-+mu%29+%3C=+k%2Asigma%29=+P%28abs%28X+-+42%29+%3C=+12k%29+%3E=+1-1%2Fk%5E2 ALIGN=MIDDLE  ALT=\"P%28abs%28X+-+mu%29+%3C=+k%2Asigma%29=+P%28abs%28X+-+42%29+%3C=+12k%29+%3E=+1-1%2Fk%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for any distribution with mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > and standard deviation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma ALIGN=MIDDLE  ALT=\"sigma\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To find k, let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+1%2Fk%5E2+=+0.36 ALIGN=MIDDLE  ALT=\"1+-+1%2Fk%5E2+=+0.36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.64+=+1%2Fk%5E2 ALIGN=MIDDLE  ALT=\"0.64+=+1%2Fk%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+=+1%2F0.64 ALIGN=MIDDLE  ALT=\"k%5E2+=+1%2F0.64\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> k = 1.25.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X+-+42%29+%3C=+12%2A1.25 ALIGN=MIDDLE  ALT=\"abs%28X+-+42%29+%3C=+12%2A1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X+-+42%29+%3C=+15 ALIGN=MIDDLE  ALT=\"abs%28X+-+42%29+%3C=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15+%3C=+X+-+42+%3C=+15 ALIGN=MIDDLE  ALT=\"-15+%3C=+X+-+42+%3C=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27+%3C=+X+%3C=+57 ALIGN=MIDDLE  ALT=\"27+%3C=+X+%3C=+57\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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