In this question you will prove that the complete graph with n vertices Kn is the only graph on n vertices with vertex connectivity equal to n - 1. Let G be a graph with n vertices. 1. Prove that if removing n - 2 vertices from G disconnects G then the vertex connectivity of G is at most n - 2. 2. Prove that if G is not equal to Kn then the vertex connectivity of G is at most n - 2. Hint: if G# Kn then there are two vertices of G that do not have an edge between them. Note that, since Kn has vertex connectivity equal to n - 1 (you do not have to prove this), this means that it is the only graph on n vertices with vertex connectivity equal to n - 1.

Need help with the matching.

2:16 mylab.pearson.com/ + K For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click here to view the data set. Click here to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0- C. O D. Ay Ay Q 20- 20- 20+ 20- ÎNALS TALLE TALE DALE 10 10 10 10 0 ||| B. Critical Values for Correlation Coefficient = 0 Critical values for the correlation coefficient Print n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 n Done 0- O 0 Vol) 1 LTE 4G 45% - X 0- 3 0 :

Please do not give solution in image format thanku You want to host a giveaway on Facebook to promote your new side hustle. You are giving away a $50 gift card for your business. Anyone who likes/follows your Facebook page is entered into the drawing. According to a recent study, you predict your side hustle will earn, on average, $.50 per like/follow. Your giveaway deadline passes, and you have 189 new followers on your Facebook page since the giveaway was first promoted. Using expected value, answer the following: Was this a successful giveaway (in terms of expected value)? How many followers would have made this giveaway a “fair game”? What would the expected value have been if you only gained 94 new followers?