When you have a set of coordinates, the first coordinate is always the x-value, and the second is always the y-value. In the first coordinate given, (1,-2), you would go right 1 from the origin first, and then down 2. For the second coordinate, (3,2), you would go right 3 from the origin and then up 2 from the origin. One way to remember which order to go in is this: you always have to go into a building before you can go up or down the stairs. This should help you to remember to go left or right first, and then go up or down.
17. We have a line drawn from the coordinates (1,-2) and (3,2). Just by glancing at this line, we can see that the coordinate (2,0) is also on the line. Remember that (2,0) means that you go two spaces to the right and 0 spaces down.
18. This question is rather awkwardly worded, but I'm guessing that by the two coordinates, it means (1,-2) and (3,2). In this case, the third vertex can be any point you want, as long as it's on the same coordinate plane and isn't on the line you drew between the two points. If you drew it on another coordinate plane, it would become a 3D figure, and if you drew it on the same line, it would still just be a line, and not a triangle.
19. If you drew a horizontal line on a coordinate plane, all the y-values on the line would be the same. This is because, as a horizontal line, the line will never go up or down, so the y-value won't change. If you went up 5 on the y-axis and drew a line straight across from there, then no matter what point you chose on the line, the y-value would always be 5.
To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier, so we can use the mean for this data set.
Therefore the answer is:
The Rome data center is best described by the mean. The New York data center is best described by the median
This one's easy to solve as a percentage because the total number was 100 to begin with. Simply divide the number of employed students by the total amount of students, 62/100, which gets 0.62, or 62%.
