document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139102>Question 1139102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I would appreciate help with this problem\r<BR>\n" );
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document.write( "The information below shows​ eighth-grade mathematics test scores in State A and State B. The scores are separated according to the sex of the students. Also shown are the state averages for both sexes.  \r<BR>\n" );
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document.write( "State A<BR>\n" );
document.write( "(Male) - 294<BR>\n" );
document.write( "(Female) - 263<BR>\n" );
document.write( "(Average for both sexes) - 289\r<BR>\n" );
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document.write( "State B<BR>\n" );
document.write( "(Male) - 296<BR>\n" );
document.write( "(Female) - 265<BR>\n" );
document.write( "(Average for both sexes) - 286\r<BR>\n" );
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document.write( "Now consider the information below that gives the actual percentages of males and females in each state. Use these percentages to verify that the overall average test score in state A is 289​, and in state B is 286 as claimed above. \r<BR>\n" );
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document.write( "State A<BR>\n" );
document.write( "(Male) - 85​%<BR>\n" );
document.write( "(Female) - 15​%\r<BR>\n" );
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document.write( "State B<BR>\n" );
document.write( "(Male) - 68​%<BR>\n" );
document.write( "(Female) - 32​%\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756878 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are given:\r<BR>\n" );
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document.write( "State A<BR>\n" );
document.write( "(Male) - 294<BR>\n" );
document.write( "(Female) - 263<BR>\n" );
document.write( "(Average for both sexes) - 289 <BR>\n" );
document.write( "State B<BR>\n" );
document.write( "(Male) - 296<BR>\n" );
document.write( "(Female) - 265<BR>\n" );
document.write( "(Average for both sexes) - 286 \r<BR>\n" );
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document.write( "you are also given:\r<BR>\n" );
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document.write( "State A<BR>\n" );
document.write( "(Male) - 85​%<BR>\n" );
document.write( "(Female) - 15​% <BR>\n" );
document.write( "State B<BR>\n" );
document.write( "(Male) - 68​%<BR>\n" );
document.write( "(Female) - 32​% <BR>\n" );
document.write( "Thank you\r<BR>\n" );
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document.write( "you would use this second set of information to determine the overall percentages.\r<BR>\n" );
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document.write( "for state A:\r<BR>\n" );
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document.write( "male average of 294 * male percent of 85% gives a male weighted average of .85 * 294 = 249.9.\r<BR>\n" );
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document.write( "female average of 263 * female percent of 15% give a female weighted average of .15 * 263 = 39.45.\r<BR>\n" );
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document.write( "add up the two weighted averages to get an overall weighted average of 289.35.\r<BR>\n" );
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document.write( "round to the nearest whole number to get an overall weighted average for state A of 289.\r<BR>\n" );
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document.write( "that checks with the information given.\r<BR>\n" );
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document.write( "for state B:\r<BR>\n" );
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document.write( "male average of 296 * male percent of 68% gives a male weighted average of .68 * 296 = 201.28.\r<BR>\n" );
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document.write( "female average of 265 * female percent of 32% gives a female weighted average of .32 * 265 = 84.8\r<BR>\n" );
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document.write( "add up the two weighted averages to get an overall weighted average of 286.08.\r<BR>\n" );
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document.write( "round to the nearest whole number to get an overall weighted average for state B of 286.\r<BR>\n" );
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document.write( "that checks with the information given.\r<BR>\n" );
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document.write( "looks like the information given is accurate.\r<BR>\n" );
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document.write( "the weighted average for each category is the average for each category times the percent of each category of the total.\r<BR>\n" );
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document.write( "any questions, email dtheophilis@gmail.com\r<BR>\n" );
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