Find the expected value of a random variable x having the
following probability distribution.
x
0
1
2
3
14
5
Probability
1/8
1/4
3/16
1/4
1/16
1/8

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

The diagram represents the polynomial 4x2 + 23x – 72. what is the factored form of 4x2 + 23x – 72? (4x + 8)(x – 9) (4x – 8)(x + 9) (4x + 9)(x – 8) (4x – 9)(x + 8)

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?