What is the standard deviation of the data set? round to the nearest tenth if needed.
2, 4, 7, 8, 9
ο
ο
2.9
ο
7
ο
2.6

Step-by-step explanation:

The set of values are 2, 4, 7, 8, 9.

The mean of these values are .

The mean of the squares of the differences of these numbers and the mean is .

In order to get the value of the standard deviation, we need to square-root the value of 6.8.

Hence, the standard deviation of the data set is ≅2.6076809621.

a

step-by-step explanation:

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.