document.write( "Question 628489: A person spins the pointer and is awarded the amount indicated by the pointer.
\n" ); document.write( "In a pie chart there is half of the pie at $2, the other half is split in two one being $10 and the other being $15,
\n" ); document.write( "It costs $8 to play the game. Determine:
\n" ); document.write( "The expectation of a person who plays the game.
\n" ); document.write( "The fair price to play the game\r
\n" ); document.write( "\n" ); document.write( "Show work for full credit
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Algebra.Com's Answer #395704 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "half of the pie at $2, 1/4 at $10 and 1/4 at $15... It costs $8 to play the game
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\n" ); document.write( "Expected \"winnings\" = \"-6%281%2F2%29+%2B+2%281%2F4%29+%2B+7%281%2F4%29\" = -.75¢
\n" ); document.write( "The fair price to play the game:\"%282-x%29%281%2F2%29+%2B+%2810-x%29%281%2F4%29+%2B+%2815-x%29%281%2F4%29\" = 0
\n" ); document.write( "\"%282-x%29%281%2F2%29+%2B+%2810-x%29%281%2F4%29+%2B+%2815-x%29%281%2F4%29\" = 0 |Multiplying thru by 4 so as all denominators = 1
\n" ); document.write( " 4 - 2x + 10 - x + 15 - x = 0
\n" ); document.write( " 29 = 4x
\n" ); document.write( " x = 29/4 = $7.25 \n" ); document.write( "
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