In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation of 1.7 pounds. Tyler consumed 11 pounds of sugar last year. How many standard deviations from the mean is that?

Tyler consumed 1.764 standard deviations of sugar from the mean.

Step-by-step explanation:

We are given the following in the question:

Mean = 8 pounds per year

Standard Deviation = 1.7 pounds per year

Sugar consumed by Tyler = 11 pounds

We have to find the relation of standard deviation and mean sugar consumed by Tyler.

Thus, Tyler consumed 1.764 standard deviations of sugar from the mean.

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.