A local chess tournament gives medals for first, second, and third place. There are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament. Which statements are true? Check all that apply.

Order matters in this scenario.
There are 2,184 ways to select a first-place, second-place, and third-place winner.
The probability that all three winners are from Midland High is 0.0275.
The probability that all three winners are from Leasburg High is 0.0046.
The probability that all three winners are from Cassville High is 0.0549

There are 2,184 ways to select a first-place, second-place, and third-place winner.

The probability that all three winners are from Midland High is 0.0275.

The probability that all three winners are from Cassville High is 0.0549

Step-by-step explanation:

Since a local chess tournament gives medals for first, second, and third place, and there are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament, to determine which of the following statements are true, the following calculations must be performed:

A) There are 2,184 ways to select a first-place, second-place, and third-place winner.

5 + 3 + 6 = 14

14 x 13 x 12 = X

182 x 12 = X

2.184 = X

B) The probability that all three winners are from Midland High is 0.0275.

5/14 x 4/13 x 3/12 = X

0.02747 = X

C) The probability that all three winners are from Leasburg High is 0.0046.

3/14 x 2/13 x 1/12 = X

0.00274 = X

D) The probability that all three winners are from Cassville High is 0.0549

6/14 x 5/13 x 4/12 = X

0.0549 = X

55

step-by-step explanation:

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