document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112991>Question 1112991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vending machine dispenses coffee into a twelve&#8203;-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.09 ounce. You can allow the cup to overfill 2&#8203;% of the time. What amount should you set as the mean amount of coffee to be&#8203; dispensed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728047 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=728047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the 98th percentile is z=2.055<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "2.055=(12-mean)/0.09<BR>\n" );
document.write( "0.185=12-mean<BR>\n" );
document.write( "mean+0.185=12<BR>\n" );
document.write( "mean=11.815 oz.<BR>\n" );
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