A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected
and not replaced, and then a second ball is selected. The numbers on the two balls are added
together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using
the sum of the numbers on the balls. The sizes are small, medium and large.
Which description accurately explains how a fair decision can be made in this situation?

If the sum is 6 or 7 small cone will be ordered. If the sum is 8medium cone will be ordered. If the sum is 9, a large cone will be ordered

If the sum is 6 or 9. a small cone will be ordered If the sum is 7 a medium cone will be ordered If the sum is 8 large cone will be ordered

the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.

If the sum is 6, a small cone will be ordered . If the sum is 7 or 9, a medium cone will be ordered If the sum is 8 a large cone will be ordered

C) If the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered

Step-by-step explanation:

If the sum is a 6: (2+4) or (4+2)

P(6) = (2 is first picked)(4 is picked next) + (4 is first picked)(2 is picked next)

If the sum is a 7: (2+5) or (5+2)

P(7) = (2 is first picked)(5 is picked next) + (5 is first picked)(2 is picked next)

If the sum is a 8: (4+4)

If the sum is a 9: (4+5) or (5+4)

P(9) = (4 is first picked)(5 is picked next) + (5 is first picked)(4 is picked next)

Therefore, if the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered

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.