Assume propositions p, q, and r have the following truth values: p is true qis true • ris false ● What are the truth values for the following compound propositions? 1) р^а True False 2) -r True False 3) рлг True False 4) pvr True False 5) pvq True False
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- Domain: Set of real numbersWhat is the truth value of each of these statements. Justify each answer with substantive explanations and not just generic True/False answers.1) ∀x(x2 − 1 > 0) 2) ∃x∃y(x4 + y4 = 0)Let L₁ = {aa, bb}, L₂ = {A, a, aa}, L3 = {x | x = {a,b}* ^ |x| ≤ 3} = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Evaluate: (L₁n L3) · L2 = •Q1: Research Groups In response to popular demand, Dan’s established two research groups A and B composed of his n graduate students. Each of these students is a member of exactly one of the two groups at any given time. The students are numbered from 1 to n in some arbitrary order. To measure the success of his research groups, Dan assigns a citation score to each of them. Initially, both groups have citation score 0. Throughout the semester, events of the following two types happen: Student x publishes a paper in which they cite student y’s work (youcan assume all of the students have been around long enough to have prior research that can be cited). As a result, If x and y are in the same group, their group’s citation score increases by 1. If x and y are in different groups, y’s group’s citation score increases by 5. Dan changes student x’s group (from A to B or from B to A) to have them work on different projects. To assess the overall success of the research groups, Dan…
- QUESTION THREEConsider the thirsty person problem given below: To drink, a thirsty person must have three things; water, ice and a glass. There are three thirsty people, each having a different one (and only one) of the three required items. A fourth person, a server has unlimited supply of all three items. If nobody is drinking, the server places two of the three items (chosen at random) onto table. Thirsty person who can make a drink from those two items will pick them up and drink a glass of ice water. When done, thirsty person will notify the server and the process will repeat. Write a process that will control the thirsty person and the server using semaphores. (i) What is a critical section in code?Explain the three properties that any solution to the Critical Section Problem should guarantee.Explain the role the Operating System plays in Garbage-In-Garbage-Out (GIGO).utogwVUfWNJvmW7MGwYrTyRrJDu-ioEw19ELum82_RuHi-A/formResponse?pli=1 Consider a grade-averaging scheme in which the final average of a student's scores is computed differently from the traditional average if the student has completed a make-up assignment: drop the lowest score and compute the new average. The following table shows several example scores and how they would be average using the scheme described above. Student Scores Make-Up Completed? Final Average 50, 50, 20, 80, 53 No (50 + 50 + 20 + 80 + 53)/5.0 = 50.6 30, 80, 85, 87 Yes (80 + 85+ 87)/3.0 = 84.0 75, 85, 10, 60, 90 Yes (75 + 85+ 60 + 90)/4.0 = 77.5 Consider the following incomplete StudentRecord class. Each studentRecord object stores a list of that student's scores and contains methods to compute that student's final average. public class StudentRecord private int [] scores; // contains scores.length values // scores.length > 1 // constructors and other data fields not shown // returns the average (arithmetic mean)…CODING LANGUAGE: R (similar to python) R is a programming language for statistical computing and graphics supported by the R Core Team and the R Foundation for Statistical Computing. The Behdel TestThe Bechdel test asks whether a work of fiction features at least two women who talk to each otherabout something other than a man, and there must be two women named characters.In this mini analysis we work with the data used in the FiveThirtyEight story titled:"The Dollar-And-Cents Case Against Hollywood's Exclusion of Women"https://fivethirtyeight.com/features/the-dollar-and-cents-case-against-hollywoods-exclusion-of-women/Start with loading the packages: fivethirtyeight, tidyverse1. What information does this dataset contain? What commands did you use to see this?For our purposes of analysis we will focus our analysis on movies released between 1990 and 2013.bechdel90_13 <- bechdel %>%filter(between(year, 1990, 2013))2. How many movies are in our filtered data set?The…
- Q3: Superheroes Supervillains are tired of Toronto condo rental prices, so they are leaving Toronto for Mississauga. Luckily, we have valiant superheroes that can deal with them. The superhero () has a name , an intelligence score , and a strength score .ni-th0 = gin[x] + s[x] Detective Zingaro has asked for your help. For each of the supervillains, tell him the name of the superhero that should deal with that supervillain. Note: A superhero can be assigned to multiple supervillains (or none at all). Note: whenever there are multiple superheroes that satisfy the given requirements for a supervillain, report the one whose name is lexicographically smallest (i.e. the one that’s the smallest according to Python’s ordering of strings). It’s guaranteed that superheroes have distinct names. Hint: Tuples of multiple elements may be helpful here. In python, you can compare two tuples and . If and are different, the result is the same as comparing and . If and are equal, the result is the same…(1) Let L₁ = {peach, apple, cherry} and L₂ = {pie, cobbler, e}. List the elements of L₁ L2 in lexicographic order (shortest first, then alphabetically if same length). apple, peach, cherry, pie, cobbler, € peachpie, applecobbler, cherry apple, peach, cherry, applepie, peachpie, cherrypie, applecobbler, peachcobbler, cherrycobbler apple, peach, cherry, applepie, peachpie, cherrypie, applecobbler, peachcobbler, cherrycobbler, pie, cobbler, €Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…
- A deck of cards contains 52 cards with four suits: club, diamond, heart and spade ranging in values from 2, ... to 10, Jack, Queen, King and Ace. Ace has the highest value in the same suit. Cards can be compared using their face values. A card with higher face value is bigger than a card with lower face value. If two cards have the same face value, then the suit determines the order. Club is smaller than diamond which is smaller than heart which is smaller than spade. For example: club 2 < diamond 2 < heart 2 < spade 2 if compared.Write an interactive Java program that allows you play cards with a computer. For this project, we are going to focus on one suit of the deck of cards. There are only 13 cards (value: 2, ... to 10, Jack, Queen, King and Ace) in a suit. To play:(a). You first pick a suit at random from the four suits (club, diamond, heart and spade), and display the suit. (b) Then you randomly draw a card from the suit, and let computer draw a card from the same…Bus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…A deck of cards contains 52 cards with four suits: club, diamond, heart and spade ranging in values from 2, ... to 10, Jack, Queen, King and Ace. Ace has the highest value in the same suit. Cards can be compared using the face value. A card with higher face value is bigger than a card with lower face value. If two cards have the same face value, then the suit determines the order. Club is smaller than diamond which is smaller than heart which is smaller than spade. For example: club 2 < diamond 2 < heart 2 < spade 2 if compared. Write an interactive Java program that allows a user to randomly pick a card from the deck of 52 cards (using a random number between 1 and 4 to represent the four suits: club, diamond, heart and spade and then another random number to represent the face value) to play. Show the suit and face value of the user card. Then the program acts as a card dealer which randomly draws another card and displays the card (again showing the suit and face value of…