document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341016>Question 341016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A naturalist estimated the total number of rainbow trout in a certain lake using the capture-mark-recapture technique.  He netted, marked, and released 200 rainbow trout.  A week later, allowing for thorough mixing, he again netted 200 trout, and found 8 marked ones among them.  Assuming that the proportion of marked fish in the second sample was the same as the proportion of all marked fish in the total population, estimate the number of rainbow trout in the lake. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244530 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A naturalist estimated the total number of rainbow trout in a certain lake using the capture-mark-recapture technique. <BR>\n" );
document.write( "He netted, marked, and released 200 rainbow trout.<BR>\n" );
document.write( " A week later, allowing for thorough mixing, he again netted 200 trout, and found 8 marked ones among them.<BR>\n" );
document.write( " Assuming that the proportion of marked fish in the second sample was the same<BR>\n" );
document.write( " as the proportion of all marked fish in the total population, estimate the<BR>\n" );
document.write( " number of rainbow trout in the lake.<BR>\n" );
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document.write( "Let a = actual amt of fish<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F200 ALIGN=MIDDLE  ALT=\"a%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F8 ALIGN=MIDDLE  ALT=\"200%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "8a = 200*200<BR>\n" );
document.write( "8a = 40000<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000%2F8 ALIGN=MIDDLE  ALT=\"40000%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 5000 fish </SPAN>\n" );
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