15 I helped someone with this question already so I know its right
Answer:
12
Step-by-step explanation:
Answer:
The correct answer is neither.
Step-by-step explanation:
To find the relationship between the lines, find the slope of each. You can do this by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(4 - -8)
m = 3/12
m = 1/4
Now do so for the second line.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-3 - -7)/(9 - -9)
m = 4/18
m = 2/9
Since they are not the same and not opposite/reciprocal, then we know they are neither parallel nor perpendicular.
Answer:

And the width for the confidence interval is given by:

And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval
would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Step-by-step explanation:
Let's assume that we have a parameter of interest
who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say
and for this particular example the confidence interval is given by:

Where ME represent the margin of error for the estimation and this margin of error is given by:

And the width for the confidence interval is given by:

And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval
would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Answer: C
Step-by-step explanation:
The given graph is a straight line graph.
Slope of a straight line graph is expressed as
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 4
y1 = 1
x2 = 2
x1 = 1
Slope = (4 - 1)/(2-1) = 3/1 = 3
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line parallel to the graph is 3