Hannah's teacher brought in a bucket containing 72 blocks. The blocks are red, yellow or blue. Hannah wants to figure out the number of blue blocks without emptying the bucket.
Hannah chooses a block from the bucket records its color and then replaces it. Of her 14 draws she records blue 5 times. Based on Hannah's experiment how many blocks are blue?
prob(blue) = 5/14
so (5/14)(72)
= 25.7
or appr 26 could be blue
To determine the number of blue blocks in the bucket based on Hannah's experiment, we can use a proportion. The proportion will compare the number of blue blocks that Hannah recorded to the total number of blocks she drew.
Let's set up the proportion:
Blue Blocks recorded / Total Blocks drawn = Blue Blocks in the bucket / Total Blocks in the bucket
We know that Hannah recorded 5 blue blocks out of the 14 blocks she drew. We don't know the total number of blocks in the bucket, so we'll represent it as "x" in the proportion.
5 / 14 = x / 72
To solve for x, we can cross-multiply and then divide:
5 * 72 = 14 * x
360 = 14 * x
360 / 14 = x
25.714 ≈ x
Based on Hannah's experiment, we can estimate that there are approximately 25 or 26 blue blocks in the bucket.