X: 1, 2, 3, 4, 5
y: 0, 1, 0, 2, 0
function: (1,0) (2,1) (3,0) (4,2) (5,0)
function is identified as a special kind of relation wherein the x-coordinate will only have one corresponding y-coordinate.
inverse of the relation is the interchange of the x and y coordinates.
inverse: (0,1) (1,2) (0,3) (2,4) (0,5)
The inverse is not a function. There are more than one x-coordinate that results to different y-coordinates. This is made evident when x = 0 ; y = 1,3, and 5.
D because the line is decreasing .
Answer:
The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.
Step-by-step explanation:
Confidence interval:
A confidence interval has the following format:
In which M is the sample mean, z is related to the confidence level and s is the standard error.
55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%.
This means that
99% confidence level
So , z is the value of Z that has a pvalue of , so .
Lower bound of the interval:
Upper bound:
The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.
If you plot these points on a coordinate plane, you see that both vertices and foci lie on the y axis. This means that you have a vertical hyperbola, and the equation looks like this:
where h and k are the center. When you look at your graph, the origin is dead center between the vertices. (0, 0) is our h and k. Now we need a, b, and c. a is the distance between the center and the vertices, so our a = 4, and c is the distance between the center and the foci, so our c = 5. Use these in Pythagorean's Theorem to solve for b:
and
and b = 3. So we have all we need to do is replace all the variables. Our equation then would be this one:
or, simplified,