Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. After a long time has passed, you record the number of balls in each container every second. In 10,000 s, you find 80 times when all the balls were in one container (either one) and the other container was empty. Required:
a. How many balls are there?
b. What is the most likely number of balls to be found in one of the containers?

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

Number of balls

For a box, the probability that there are N balls in it is:

For 2 boxes, it is:

From the question, we have:

Favorable outcome

To solve for N, we have:

Divide both sides by 2

Take log of both sides

Apply law of logarithm

Make N the subject

Approximate

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

4 balls in each box

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x