Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

A line placed in slope-intercept form is represented by the formula
. The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula
and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

So, option D is correct.
Answer:
C.....35.6204994 is the answer so round up to 35.63
Answer:
The standard deviation of the sample is 0.0064.
Step-by-step explanation:
The standard deviation of a sample of length n of a population with standard deviation
is given by the following formula:

In this problem, we have that:
61 randomly selected gas stations. This means that 
The standard error of the mean is $0.05. This means that
.
What is the standard deviation of the sample?

The standard deviation of the sample is 0.0064.