document.write( "Question 1147981: The weights of ripe watermelons grown at Mr. Smith’s farm are normally distributed with a mean of 20.26 pounds and a standard deviation of 2.8 pounds. If the bottom 3 % of watermelons are discarded, determine the weight a watermelon needs to have to not be discarded. \r
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Algebra.Com's Answer #769337 by VFBundy(438) $\"\"$ $\"About$

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Go to a z-table and find the z-score where the area to the left of the curve is closest to 0.03. The z-score that is the closest is -1.88.
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\n" ); document.write( "Set up the equation as such:
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\n" ); document.write( " $\"%28x+-+mean%29%2FSD+=+Zscore\"$
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\n" ); document.write( " $\"%28x+-+20.26%29%2F2.8+=+-1.88\"$
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\n" ); document.write( "x - 20.26 = -1.88(2.8)
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\n" ); document.write( "x - 20.26 = -5.264
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\n" ); document.write( "x = 14.996
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\n" ); document.write( "The weight a watermelon needs to be not to be discarded is 14.996 lbs. \n" ); document.write( "

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