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# help

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+325

500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:

Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18 degrees angle, since 18 degrees is 5 percent of 360 degrees.

Which sector makes an angle closest to 40 degrees? (Your answer should be a color word.)

SmartMathMan  Dec 20, 2017
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#1
+80973
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40°  is  1/9  of 360° ≈  11%

So....  PURPLE seems to be closest

CPhill  Dec 20, 2017
#2
+325
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are you here this is part two. answer if you are here.

SmartMathMan  Dec 20, 2017
#3
+325
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If we consider ONLY the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?

use the data from problem part 1

SmartMathMan  Dec 20, 2017
#4
+80973
+1

Considering the "rainbow" colors, the  percent who preferred red  can be found thusly :

Red  = .13 * 500  =  65

Orange  = .04 * 500  = 20

Yellow = .05 * 500  =  25

Green   =  .15 * 500  = 75

Blue  =  .16 * 500  =  80

Purple  = .12 * 500  =  60

So..... the %  that preferred red is

65  /  [  65 + 20 + 25 + 75 + 80 + 60 ]  =

65  /  325    =

1 / 5   =

20%

CPhill  Dec 20, 2017

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