document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082057>Question 1082057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lengths of a certain type of white radish are normally distributed with mean x cm and standard<BR>\n" );
document.write( "deviation y cm. 4% of these radishes are longer than 12 cm and 32% are longer than 9 cm. Find x and y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696198 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=696198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4% is at z=+1.75<BR>\n" );
document.write( "32% is at z=+0.47<BR>\n" );
document.write( "1.75=(x-mean)/y, but x-mean=12-mean<BR>\n" );
document.write( "1.75y=12-mean<BR>\n" );
document.write( "mean+1.75y=12 and similarly,<BR>\n" );
document.write( "mean+0.47y=9<BR>\n" );
document.write( "subtract second<BR>\n" );
document.write( "1.28y=3<BR>\n" );
document.write( "y=2.34 cm<BR>\n" );
document.write( "mean+1.10=9<BR>\n" );
document.write( "mean=7.9 cm<BR>\n" );
document.write( "check with first<BR>\n" );
document.write( "7.9+1.75(2.34)=11.995, 12 with rounding error<BR>\n" );
document.write( "x=7.9 cm<BR>\n" );
document.write( "y=2.34 cm<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );