alvins new bag of 50 marbles of different designs spilled in his backpack. on the way home from school, he…

alvins new bag of 50 marbles of different designs spilled in his backpack. on the way home from school, he randomly selects one marble from the backpack, records the result, puts the marble back in the bag, and selects again. here are his results: jasper, galaxy, cats - eye, rainbow, galaxy, sunburst, galaxy, cats - eye, sunburst, jasper. based on the data, estimate how many of the marbles in alvins backpack are galaxy marbles. if necessary, round your answer to the nearest whole number. galaxy marbles

alvins new bag of 50 marbles of different designs spilled in his backpack. on the way home from school, he randomly selects one marble from the backpack, records the result, puts the marble back in the bag, and selects again. here are his results: jasper, galaxy, cats - eye, rainbow, galaxy, sunburst, galaxy, cats - eye, sunburst, jasper. based on the data, estimate how many of the marbles in alvins backpack are galaxy marbles. if necessary, round your answer to the nearest whole number. galaxy marbles

Answer

Explanation:

Step1: Count galaxy marbles in sample

There are 4 galaxy marbles in a sample of 10 marbles.

Step2: Set up proportion

Let $x$ be the number of galaxy marbles in the 50 - marble bag. The proportion is $\frac{4}{10}=\frac{x}{50}$.

Step3: Solve proportion

Cross - multiply: $10x = 4\times50$, so $10x=200$. Then $x=\frac{200}{10}=20$.

Answer:

20