document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149473>Question 1149473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scores on an English test are normally distributed with a mean of 33.7 and a standard deviation of 7.2. Find the score that represents the 59th percentile. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770801 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=770801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the z-value for 0.59 probability is z=0.23<BR>\n" );
document.write( "z=(z-mean)/sd<BR>\n" );
document.write( "0.23=(x-33.7)/7.2<BR>\n" );
document.write( "1.656=x-33.7<BR>\n" );
document.write( "x=35.356 or 35.4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );