You play darts with a friend. the board is a circle with a 6-inch radius. the “bull’s eye” is a smaller circle in the center of the board with an 0.25-inch radius. you throw darts (small metal arrows) at the board. at the end of six weeks, she has thrown 500 darts. she hit the board every time and hit the bull’s eye 1 time if you throw 500 darts, how many times should you expect to hit the bull’s eye by random chance? compare this result to your friend’s result. is she a skilled player for hitting the bull’s eye or is the result of hers expected?

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.