Question 2 (1 point)
You spin a spinner with five equal spaces and roll an eight-sided die. How many possible outcomes are in the sample space?

Nt = 40 outcomes

There are 40 possible outcomes on the sample space

Step-by-step explanation:

Given that;

You spin a spinner with five equal spaces and roll an eight-sided die;

Number of outcomes of the spinner Ns = 5

Number of outcomes of the die Nd = 8

The total number of possible outcomes in the sample space can be written as;

Nt = Number of outcomes of the spinner × Number of outcomes of the die

Nt = Ns × Nd

Nt = 5 × 8

Nt = 40

There are 40 possible outcomes on the sample space

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.