clare is playing a game with her 4 - year - old cousin. there are 100 game tiles in a bag. each tile has…
clare is playing a game with her 4 - year - old cousin. there are 100 game tiles in a bag. each tile has either a shape or a monkey on it. clare picks a tile out of the bag, records the result, and then places it back in the bag. she does this 15 times and gets 1 star, 2 circles, 3 squares, 3 triangles, and 6 monkeys. based on the data, estimate how many monkey tiles are in the bag. if necessary, round your answer to the nearest whole number. monkey tiles
Answer
Explanation:
Step1: Calculate the proportion of monkey - tiles in the sample
The number of times a monkey - tile was picked in the 15 - time sample is 6. So the proportion of monkey - tiles in the sample is $\frac{6}{15}=\frac{2}{5}$.
Step2: Estimate the number of monkey - tiles in the bag
There are 100 tiles in the bag. Let $x$ be the number of monkey - tiles in the bag. We assume the proportion in the sample is the same as the proportion in the bag. So $\frac{x}{100}=\frac{2}{5}$. Cross - multiplying gives $5x = 2\times100$, and then $x=\frac{2\times100}{5}=40$.
Answer:
40