There are 15 red, 14 green, and 9 yellow balls in a dark room. What is the minimum number of balls that Alicia needs to take so that at least 12 of them are the same color?

32

Step-by-step explanation:

1. If you take 12 balls, 9 could be yellow and 3 could be red. We want at least 12 of the same color, so 30 balls isn't a good minimum

2. If you take 30 balls, 9 could be yellow, 10 could be red and 11 could be green.  We want at least 12 of the same color, so 30 balls isn't a good minimum.

3. If you take 31 balls, 9 could be yellow, 11 could be red and 11 could be green.  We want at least 12 of the same color, so 31 balls isn't a good minimum.

4. If you take 32 balls, 9 could be yellow, 11 could be red and 12 could be green or 9 could be yellow, 12 could be red and 11 could be green or 7 could be yellow, 13 could be red and 12 could be green or 9 could be yellow, 11 could be red and 12 could be green.

We want at least 12 of the same color, and we have it from the different samples of the 4th trial.

So, 32 balls is the minimum number of balls

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

0.50 , 0.75

step-by-step explanation: