Gerald buys a bag of 7,500 assorted beads online. A random sampe of 150 beads contains 17 red beads. Predict the number of red beads in the bag of assorted beads that Gerald bought.
850. Explanation, 7,500 divided by 150 = 50 times 17 = 850
prediction would be =(7500/150)×17=850
To predict the number of red beads in the bag of assorted beads that Gerald bought, we can use the concept of proportion.
First, let's calculate the proportion of red beads in the random sample. We divide the number of red beads in the sample by the total number of beads in the sample:
Proportion of red beads in the sample = (Number of red beads in the sample) / (Total number of beads in the sample)
Proportion of red beads in the sample = 17 / 150 = 0.1133
Now, let's use this proportion to estimate the number of red beads in the bag of assorted beads that Gerald bought. We multiply the proportion of red beads in the sample by the total number of beads in the bag:
Estimated number of red beads = (Proportion of red beads in the sample) * (Total number of beads in the bag)
Estimated number of red beads = 0.1133 * 7500 = 849.75
Since we can't have a fraction of a bead, we round the estimated number of red beads to the nearest whole number:
Estimated number of red beads = 850
Therefore, the predicted number of red beads in the bag of assorted beads that Gerald bought is approximately 850.