The table describes a probability distribution for a certain event. find the mean, 4, for the probability distribution.

a. 144.0
b. 12.0
c. 19.2
d. 4.4

C. 19.2 is the mean for this probability distribution.

Step-by-step explanation:

The mean for a probability distribution is ∑ P(x).x

Here, x∈{10, 20, 30, 40, 50}

P(10) × 10= 5.34

P(20) × 20=3.86

P(30) × 30=4.2

P(40) × 40=3.4

P(50) × 50=2.4

∑=5.34+3.86+4.2+3.4+2.4= 19.2

Therefore, the mean of this probability distribution is 19.2.

the f

last graph i believe

step-by-step explanation:

worked it out i believe

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0