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A spinner is divided into five colored sections that are not of equal size: red, blue,green, yellow, and purple. The spinner is spun several times, and the results arerecorded below:Spinner ResultsColor FrequencyRed16Blue2Green20Yellow12Purple6If the spinner is spun 1200 more times, about how many times would you expect toland on green? Round your answer to the nearest whole number.

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Answer:

The results of several spins of a spinner are:

Red: 16

Blue: 2

Green: 20

Yellow: 12

Purple: 6

Total: 16 + 2 + 20 + 12 + 6 = 56

The relative frequency of getting green is:

[tex]\frac{20}{56}=\frac{5}{14}[/tex]

If the trend continues for 1200 more spins, we can expect the spinner to land on the green:

[tex]\frac{5}{14}\cdot2000=714[/tex]

It's expected to land on green 714 more times

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