In the table below are the results of rolling a number cube 400 times.

Number 1 2 3 4 5 6
Frequency 35 211 32 41 38 43

A. Based on the observed frequencies, calculate the relative frequency for each number.

B. Based on your results in A, do the outcomes for rolling the number cube appear to be equally likely? Explain your answer using complete sentences.

C. If the outcomes do appear to be equally likely, why are the observed frequencies different for each number? If the outcomes do not appear to be equally likely, identify a possible reason for this result.

(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

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: