Abox contains 500 marbles. the result of 20 marbles pulled at random from the box is given below.

• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles

based on this information, how many black marbles could be expected in the box?

100 black marbles

Step-by-step explanation:

The experimental probability of a black marble is

P(black) = 4/20 = 1/5

We expect that out of the 500 marbles in the box, 1/5 of them are black

1/5 (500) = 100

There should be 100 black marbles

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.

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.