Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken? sample number sample mean 1 11.8 2 12.5 3 15.1 4 14.3 5 13.0 6 12.9 10.2 11.5 12.9 15.4

We are given the below data:

Sample Number              Sample Mean

1                                                 11.8

2                                                 12.5

3                                                 15.1

4                                                 14.3

5                                                 13.0  

6                                                 12.9

7                                                 10.2  

8                                                 11.5

9                                                 12.9

10                                                15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

Therefore, the most likely mean of the population from which the samples were taken is 12.96

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.