In order to estimate the average electric usage per month, a sample of 36 houses was selected and the electric usage was determined. Assume a population standard deviation of 330 kilowatt-hours. Find the standard error of the mean.

Step-by-step explanation:

standard error of the mean. is expressed mathematically as;

is the standard deviation

n is the sample size

Given

Required

Standard error of the mean SM

Substitute the given parameters into the formula shown;

Hence the standard error of the mean is 55.

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.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: