4. Watch up to 1:00 minute of the following clip from Brooklyn 99 (feel free to keepwatching because it is rather funny): https://www.youtube.com/watch?v=Ncl3n2f2uuUBoyle used an undirected graph to represent the different text chains at work.Sociologists also use graphs to model social relationships. A social network is a graphwhere the nodes represent "actors" (e.g., people, companies) and the edges representrelationships, or "ties," between actors (e.g., friendships, business partnerships).Consider the following social network.BTECHNIE) DAHEAa. A clique in a social network is a group of actors who all have ties to each other.What is the largest clique in this social network?3b. If you had to choose the most important actor in this social network, who would youpick? Why?c. Suppose the actors represent people and the ties represent acquaintances. If thepeople in this social network continue to interact, which two (currentlyunacquainted) actors would you most expect to become acquainted? Why?

Kindly refer to Step 2 for the solution.

Answered: a. A clique in a social network is a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a survey of 252 professional athletes, it was found that 119 of them owned a convertible, 122 of them owned a giant screen TV, and 115 owned a sporting goods store. 21 owned a convertible and a store, 44 owned a TV and a store, and 73 owned a covertible and a TV. 13 owned all three items. How many athletes did not own any of the three items? How many owned a covertible and a TV, but not a store? How many athletes owned a convertible or a TV? How many athletes owned exactly one type of item in the survey? How many athletes owned at least one type of item in the survey? How many owned a TV or a store, but not a convertible?
In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned a convertible and a TV, but not a store? c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f
Suppose that in a survey of five-year-olds, 40% liked the letter A, 51% liked the letter B, and 39% liked theletter of C. 11% liked A and B, 12% liked A and C, 19% liked B and C, and 5% liked all of them. Howmany liked A and B but not the letter C?
3. A survey of 1,035 tourists visiting Orlando was taken. Of those surveyed: 255 tourists had visited LEGOLAND 270 tourists had visited Universal Studios 82 tourists had visited both the Magic Kingdom and LEGOLAND 65 tourists had visited both the Magic Kingdom and Universal Studios 90 tourists had visited both LEGOLAND and Universal Studios 23 tourists had visited all three theme parks 86 tourists did not visit any of these theme parks How many tourists only visited the Magic Kingdom (of these three)?
A store located in downtown Boston has 80 employees. Through an informal survey of the employees, it was discovered that 50 of the employees take the subway to work, 20 of them take the bus, and 15 take both the subway and the bus. Use the Venn diagram to answer the following questions. How many of the employees take the subway or the bus to work? How many of the employees get to work by some other means?
15) Use the situation below to answer the question that follows. Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card. The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes. 1) FGHIJKL Let Lui win the 1st prize, so select L. 2) 3) 4)

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