And this problem, we're trying to figure out the probability that Xerxes arrives first and Regina arrives last. Now, the first thing to note is that there are nine people. So if we list off nine different spaces, there's nine spaces and now the order in which they arrive could be any order. So for the first spot there are nine different ways that someone can show up, Anyone can show up first and then once someone has shown up first, the person who arrives second, there are eight different ways to choose that person. Similarly, the person who arrives third, there are seven people remaining, so there's seven ways to choose that and so on. And so there are actually nine factorial ways that the people can arrive to the party. Now if xerxes needs to be in the first spot and Regina needs to be in the last spot than in these remaining seven spaces, we can put any people, so there can be any ordering between xerxes and Regina. So there is seven factorial ways to order the people between xerxes and Regina. So the probability that we end up with is seven factorial divided by nine factorial. So that is seven factorial. And remember that nine factorial can be written as nine times eight times seven factorial. The seven factorial are going to cancel. We get 1/7 times eight which is equal 1/72 which is equal to approximately zero point 014 and that's it
The answer to 12 is 10.
-2(-2-3)
10
Answer: <span>C) The slope of the line of best fit would increase because the point lies below the original line of best fit.
The line of best fit is a line that best represents the data in a scatterplot. When you draw a line of best fit, you want it to roughly "balance out" the points above and below it on the scatter plot, making sure the points are distributed evenly.
It's easiest to visualize what a point above or beneath the graph would do. A point underneath that line would be "pulling the line down," so it would be decreasing the slope (making the line more horizontal). A point above the line would be "pulling the line up," so it would be increasing the slope.
1) Figure out where (15, 7) is in relation to the line of best fit. Plug x=15 into </span><span>y = 0.5x + 1.5 to find where the line is when x=15:
</span>
![y = 0.5x + 1.5\\ y = 0.5(15) + 1.5\\ y = 9](https://tex.z-dn.net/?f=y%20%3D%200.5x%20%2B%201.5%5C%5C%0Ay%20%3D%200.5%2815%29%20%2B%201.5%5C%5C%0Ay%20%3D%209)
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That means (15, 7) is under the line, since y=7 at x=15 for the point, but y=9 for the graph.
2) Since (15, 7) is under the line, you can imagine it to be "pulling the line of best fit down" and decreasing the slope. If it's removed then the line would become steeper (aka larger slope), making c the answer.
</span><span>---
Answer: C) The slope of the line of best fit would increase because the point lies below the original line of best fit. </span>
Answer:
n=9
Step-by-step explanation:
Q1=n+1/4
=9+1/4
=10/4
=2.5
Answer: 20
Step-by-step explanation:
See photo for more information