document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116193>Question 1116193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain distribution of&#8203; numbers, the mean is 90 with a standard deviation of 5. At least what fraction of the numbers are between 50 and 130&#8203;?\r<BR>\n" );
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document.write( "At least (blank) of all the numbers must lie between 50 and 130. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731044 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculate the z scores for both values.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B1%5D=%2850-90%29%2F5=-8 ALIGN=MIDDLE  ALT=\"z%5B1%5D=%2850-90%29%2F5=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B2%5D=%28130-90%29%2F5=8 ALIGN=MIDDLE  ALT=\"z%5B2%5D=%28130-90%29%2F5=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%28z%5B2%5D%29-P%28z%5B1%5D%29 ALIGN=MIDDLE  ALT=\"P=P%28z%5B2%5D%29-P%28z%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%288%29-P%28-8%29 ALIGN=MIDDLE  ALT=\"P=P%288%29-P%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1-0 ALIGN=MIDDLE  ALT=\"P=1-0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1 ALIGN=MIDDLE  ALT=\"P=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "100%, up to 12 decimal places.\r<BR>\n" );
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