Which of the number line graphs shows the solution set of |x – 2| > 3? Question 6 options: A) image B) image C) image D) image

The graph in the attached figure

Step-by-step explanation:

we have

x+2y > 4x+2y>4

we know that

The solution of the inequality is the shaded area above the dashed line

The equation of the line is

x+2y = 4x+2y=4

Find the x-intercept

For y=0y=0

x+2*0 = 4x+2∗0=4

x=4x=4

The x-intercept is the point (4,0)(4,0)

Find the y-intercept

For x=0x=0

0+2y = 40+2y=4

2y=42y=4

y=2y=2

The y-intercept is the point (0,2)(0,2)

therefore

The graph in the attached figure

The 99% confidence interval for the average score in the population is between 99.24 and 112.44.

The margin of error is 6.60.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 105.84 - 6.60 = 99.24

The upper end of the interval is the mean added to M. So it is 105.84 + 6.60 = 112.44

The 99% confidence interval for the average score in the population is between 99.24 and 112.44.