Nathan rolls a number cube and records the result of each roll in the table.

which statements below represent the situation? choose all that apply.
the relative frequency of rolling a 4 is 2/9.
the experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
the experimental probability of rolling a 2 is greater than the theoretical probability of rolling a 2.
the relative frequency of rolling a 5 is 2/13.
the experimental probability of rolling a 1 is less than the experimental probability of rolling a 6.
the theoretical probability of rolling a 1 is less than the theoretical probability of rolling a 6.

True statements:

A. The relative frequency of rolling  4 is

E. The experimental probability of rolling 1 is less than the experimental probability of rolling 6.

Step-by-step explanation:

Nathan made 11 + 16 + 14 + 20 + 12 + 17 = 90 rolls altogether. Consider all options:

A. The relative frequency of rolling  4 is

This option is true.

B. The experimental probability of rolling 3 is The theoretical probability of rolling 3 is therefore, the experimental probability of rolling 3 is less than the theoretical probability. This option is false.

C. The experimental probability of rolling  2 is and the theoretical probability of rolling  2 is The experimental probability of rolling  2 is smaller than the theoretical probability of rolling 2. Option C is false.

D. The relative frequency of rolling  5 is This option is false.

E. The experimental probability of rolling  1 is and the experimental probability of rolling  6 is Since then the experimental probability of rolling  1 is less than the experimental probability of rolling  6. This option is true.

F. The theoretical probability of rolling 1 is the same as the theoretical probability of rolling 6. This option is false.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled