You planted 30 African violet seeds and 9 of them sprout. Use the relative frequency to predict how many African violet seeds will sprout if you plant 20 seeds in a new garden.
To predict how many African violet seeds will sprout if you plant 20 seeds in a new garden using the relative frequency, you need to first calculate the sprouting rate based on the given data.
The relative frequency is calculated by dividing the number of favorable outcomes (in this case, the number of sprouted seeds) by the total number of outcomes (the total number of planted seeds).
Given that you planted 30 African violet seeds and 9 of them sprouted, the relative frequency can be calculated by dividing 9 by 30:
Relative frequency = Number of sprouted seeds / Total number of planted seeds
Relative frequency = 9 / 30
Now, to predict the number of seeds that will sprout if you plant 20 seeds in a new garden, you need to multiply the relative frequency by the total number of seeds in the new garden:
Predicted sprouted seeds = Relative frequency * Total number of seeds in new garden
Predicted sprouted seeds = (9 / 30) * 20
Calculating this expression will give you the predicted number of sprouted seeds when planting 20 seeds in the new garden.
9/30 = x/20
Solve for x.