do parts a and b Problem 5.In a group of n people, some of them are friends with each other. a)You want to hold an event for people without any prior acquaintances, to help promotenetworking and new connections. Who would you invite? b)You want to introducea product to the group. If we know people will automatically tell their friends about the product,how would you most efficiently advertise the product? Formulate the problem using graphs, anddescribe what aspects of the graph would you use to solve the problem.

Maximal Independent Set: {A, D, E}Minimum Dominating Set: {A, D}Explanation of Graphs:Maximal…

Answered: Problem 5. In a group of n people, some…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.5: Systems Involving Nonlinear Equations

Problem 41PS

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Problem 5. In a group of n people, some of them are friends with each other. a) You want to hold an event for people without any prior acquaintances, to help promote networking and new connections. Who would you invite? b) You want to introduce a product to the group. If we know people will automatically tell their friends about the product, how would you most efficiently advertise the product? Formulate the problem using graphs, and describe what aspects of the graph would you use to solve the problem.
3. Tamir has recently begun a new job of selling custom bracelets! Tamir's sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, when he sold 9 bracelets he made a $94 profit. a. Write an equation in point slope form that could model this scenario. b. Which of the following could be the graph of Tamir's profit? Explain how you know. Graph 1: Graph 2: + +
4. In a study of modeling, one group of 20 children saw an adult acting aggres- sively on videotape. Another group of 20 children saw the same adult acting aggressively in real life. Later, each child was placed in a room where he or she was given the opportunity to behave aggressively toward a Bobo doll (a humanlike dummy). The researchers recorded the number of aggressive acts toward the Bobo doll by each child in a 15-minute period. Here are the results: Real-Life Model Video Model X f f 37 1 25 1 35 23 3 34 3 22 30 21 5 27 4 19 4 22 18 19 17 18 3 10 Compare the two groups in terms of the aggressiveness displayed. If you re- ject the null hypothesis, tell what it means in the context of the problem. 1 5. A group of 10 navy pilots iş first trainod
Consider there are only two computer companies in a country. The companies are named “Dude” and “Imac”. Each year, company Dude keeps 1/5th of its customers, while the rest switch to Imac. Each year, Imac keeps 1/3rd of its customers, while the rest switch to Dude. If in 2002, Dude has 1/6th of the market and Imac has 5/6th of the market, what is the distribution of the market share between the two companies in 2003. (Hint: you can cast this as a matrix multiplication problem)
Problem #2: Suppose an ice cream shop starts a promotion from 2-4p on Wednesdays using two sets of numbered cards. Customers get to draw 2 cards (at random), one from each set. Each set has 8 cards numbered 0, 1, 2, ... 7. The customer will receive a discount based on the combination of cards drawn which is equal to the fırst card, followed by the second card. For example, if a customer draws a 7 and a 7, s/he gets an 77% discount. If a customer draws a 1 and 7, s/he gets a 17% discount. If the cards are 0, 0 the customer gets no discount. a. Describe the random process. b. How many outcomes are in the sample space? c. Are the sample space outcomes equally likely? Why or why not? d. Write out the sample space. (Just kidding.) Determine the probability a customer at least a 12% e. Determine the probability a customer gets more than a 75% discount on his/her ice cream.
I need help on 9 and 10
Every month a clothing store conducts an inventory and calculates losses from theft. The store would like to reduce these losses and is considering two methods. The first is to hire a security guard, and the second is to install cameras. To help decide which method to choose, the manager hired a security guard for 6 months. During the next 6-month period, the store installed cameras. The monthly losses were recorded and are listed here. The manager decided that because the cameras were cheaper than the guard, he would install the cameras unless there was enough evidence to infer that the guard was better. What should the manager do? Security guard Cameras 355 284 401 398 477 254 486 303 270 386 411 435
Problem 2. You plan to sell k products to totally n1 + n2 customers in which customers 1,...,n1 are from Town 1 and customers n1 + 1, …,n1 + n2 are from Town 2. In addition, as the products are very '... expensive, two customers will co-buy one produce, each getting 50% of the ownership. Due to transportation reason, for each product, you have to sell it to two customers from the same town. It is also assumed that each customer can buy at most three products (each with 50% of the ownership) and that each product must be sold to exactly two customers. Let c;; be the price that customer i offers for his/her 50% of the ownership for product j (i = 1, ..,n1 + n2;j = 1, …., k). Formulate the problem to maximize your total revenue. Clearly define all the decision variables in the beginning of your solution. [Hint: use one variable to denote the customer (selling product j to customer i ?) and another variable to denote the town (selling product j to Town 1?)]
Dr. Barton hypothesizes that if 1st grade students are assigned to practice sight word flashcards for 10 minutes every day for their first semester, they will end up reading more books in their second semester. She creates two groups of 25 students each and gives each group the same sight word flashcards. Group A is assigned to practice with the flashcards for 10 minutes every day for their first semester. Group B is not given this assignment. Each group is tasked with keeping a reading log during their second semester. At the end of 1st grade, Dr. Barton counts how many books each group has read. Group A read 68 books, and Group B read 92 books. The control group is: The independent variable is: The dependent variable is: This study shows that there is a positive correlation between 10 minutes of daily flashcard practice of sight words and the amount of books read. T/F This study is an example of descriptive research. T/F
Monroe County is trying to determine where to place the county fire station. The locations of the county’s four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station islocated at (30, 40) and a fire occurs at town 4, the fire engine has to travel *80 2 30* 1 * 60 2 40* 5 70 miles to the fire. a. Determine where the fire station should be located.b. Use SolverTable to see how the optimal location of the fire station changes as the number of fires at town 3 changes.
Monroe County is trying to determine where to place the county fire station. The locations of the county’s four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town 3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station is located at (30, 40) and a fire occurs at town 4, the fire engine has to travel |80 - 30| + |60 - 40| = 70 miles to the fire. a. Determine where the fire station should be located. Round your answers to three decimal places. X Y Location of fire station

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