(4) 3. Let S(x) = "x is a student in our class" and P(x) = "x lives in Wahiawa" a. Assume the u.d. for x is students in our class. Translate into symbols, "There is a student in our class who lives in Wahiawa.
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![(4) 3. Let S(x) = "x is a student in our class" and P(x) = "x lives in Wahiawa"
a. Assume the u.d. for x is students in our class. Translate into symbols, "There is a student in
our class who lives in Wahiawa.
b. Assume the u.d. for x is all people. Translate into symbols, "There is a student in our class
who lives in Wahiawa.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bfeec21-39c8-4443-9abf-4d162a83c80e%2F79d27918-f4ee-4d7b-999e-868aae06e6af%2Flbg4zfxn_processed.png&w=3840&q=75)
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- Bus Loading Problem. You are in charge of filling busses with passengers at a bus terminal. Each bus has space for ten (10) passengers. Four (4) of those spaces can hold only wheelchair passengers, and the other six (6) can hold only non-wheelchair passengers. Busses and both types of passengers arrive at random. As busses arrive, you are to fill them up with passengers. Once a bus is full (containing 6 non-wheelchair, and 4 wheelchair passengers), it is allowed to leave the terminal, along with its passengers. You are responsible only for loading the passengers on the bus and having the bus depart. You do not need to worry about what happens to the busses or passengers after they leave. Each bus process has available to it the functions ArriveAtTerminal(), OpenDoors(), CloseDoors(), and DepartTerminal(). Each passenger process has available to it the functions ArriveAtTerminal() and GetOnBus(). Executing GetOnBus() loads the passenger on the bus, and the function returns when the…3. Let S(x) be the statement "x studied for the exam" and H(x, y) be the statement "x scored higher than y in the exam," where the domain of x and y consists of all students in this class. Which logical expression corresponds to the following statement? "Every student in this class who studied for the exam scored higher in the exam than every student who did not study for the exam." a. VxVy (H (x, y) → (S(x) ^ ¬S(y))) b. VxVy(S(x)^¬S(y) ^ H (x, y)) c. VxVy((S(x) ^ ¬S(y)) → H (x, y)) d. VxVy((S(x) → ¬S(y)) → H (x, y))(2) Let P (x, y) : x plays in y." A(x) : x is athletic." S(x) :x is smart." E(y) : y is in English league." F (y) : y is famous." Assume the domain of x is all players and the domain of y is all football teams. Answer the following questions. (a) Write the symbolic for: Some smart and athletic players play in some English league teams (b) Write the English for: 3y A(MohamedSalah) ^ E(y) ^ P (MohamedSalah, y). (c) Rewrite the statement starting with "Some... ": Not all smart players play in some famous teams
- Problem Statement: The mathematician Conway imagined a game, called game of life, whichconsidered cells that are susceptible to reproduce, disappear, or survive when they obey certainrules. These cells are represented by elements on a grid of squares, where a grid has an arbitrarysize. Thus, each cell (except those on the boundaries of the grid) is surrounded by eight squaresthat contain other cells. The rules are stated as follows:1. Survival: Each cell that has two or three adjacent cells survives until the next generation.2. Death: Each cell that has at least four adjacent cells disappears (or dies) by overpopulation.Also, each cell that has at most one adjacent cell dies by isolation.3. Birth: Each empty square (i.e., dead cell) that is adjacent to exactly three cells gives birthto a new cell for the next generation.It is worth noting that all births and deaths occur at the same time during a generation.Write a program that simulates this game and displays all successive…Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…Please answer with explanations.
- Let S(x,y) be the statement "student x likes soft drink y" , where the domain for x consists of all students at your school and the domain for y consists of all soft drinks. Use quantifiers to express "Not every student likes tea and soda." 5.20. An employee in a company gets special allowance based on employee category. Input his basic salary and category. Calculate and print the special allowance. (Use switch-case) Category Special Allowance M or m 15% of Basic salary T or t 10% of basic salary C or c 7.5% of Basic salary |Any other 3% of basic salary38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.
- 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…Let P(X) = “x ate lunch at Jollibee” and S(x) = “x is a Leeward CC Student” 5. Assume the universe of discourse is all people. Translate into symbols, “All Leeward Community College students ate lunch at Jollibee.” 6. Using symbols, express the negation of number 5Let l(x) be "x has an internet conection" and C(x, y) be "x and y have chatted over the internet". Assume the domain is all students in a class. Express the following using quantifiers. 1. Jerry does not have an internet connection 2. Exactly one student in the class has an internet connection 3. Someone in your class has an internet connection but has not chatted with anyone else in the class.
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