PLEASE HELP 90 POINTS 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 are recorded below:
Spinner Results
Color Frequency
Red 18
Blue 10
Green 7
Yellow 19
Purple 6
If the spinner is spun 1400 more times, about how many times would you expect to land on red? Round your answer to the nearest whole number.
18 + 10 + 7 + 19 + 6 = 60
so
(18/60 ) * 1400 = 420
To find out approximately how many times the spinner would land on red after spinning it 1400 more times, we need to calculate the expected frequency or probability of landing on red.
First, let's calculate the total frequency of all the colors recorded:
Total Frequency = Frequency of Red + Frequency of Blue + Frequency of Green + Frequency of Yellow + Frequency of Purple
Total Frequency = 18 + 10 + 7 + 19 + 6
Total Frequency = 60
Next, let's calculate the probability or fraction of landing on red from the recorded frequencies:
Probability of Red = Frequency of Red / Total Frequency
Probability of Red = 18 / 60
Probability of Red = 0.3
Now, we need to calculate the expected frequency of landing on red after spinning the spinner 1400 times:
Expected Frequency of Red = Probability of Red x Total Spins
Expected Frequency of Red = 0.3 x 1400
Expected Frequency of Red = 420
Rounding the expected frequency of landing on red to the nearest whole number, we can expect the spinner to land on red approximately 420 times after spinning it 1400 more times.
To find out how many times you would expect to land on red after spinning the spinner 1400 more times, you need to calculate the probability of landing on red based on the current results.
First, sum up the frequencies of all the colors to find the total number of spins so far:
18 + 10 + 7 + 19 + 6 = 60
Next, calculate the probability of landing on red by dividing the frequency of red by the total number of spins so far:
18/60 = 0.3
This means that the probability of landing on red is 0.3.
To estimate the number of times you would expect to land on red after spinning the spinner 1400 more times, multiply the probability of landing on red by the number of additional spins:
0.3 * 1400 = 420
Therefore, you would expect to land on red approximately 420 times when spinning the spinner 1400 more times. Rounded to the nearest whole number, the estimate would be 420.