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

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it