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.
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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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- 10. Let p be the statement “He gets frustrated.” and q be the statement “He will be able to complete the job.” Translate ~(p ∧ q) into the equivalent statement.Let 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.Show that the following argument is valid: “All rock music is loud music. Some rock music exists, therefore some loud music exists.” Use predicates R(x) and L(x).
- Assume that a, b, c are numbers.Return 'increasing' if they are in increasing order, 'decreasing' if they are in decreasing order, 'both' if they are both increasing and decreasing, and 'neither' otherwise.Here, 'increasing' means that each value is at least as largeas its predecessor. Similarly for decreasing.The sequence 3, 4, 4 is increasing. whereasthe sequence 4, 4, 4 is both increasing and decreasing.For example,lenient(3, 4, 5) returns 'increasing'lenient(3, 4, 4) returns 'increasing'lenient(4, 4, 4) returns 'both'lenient(4, 3, 2) returns 'decreasing'lenient(4, 3, 3) returns 'decreasing'lenient(4, 2, 3) returns 'neither'Define an enumeration type triangleType that has the values scalene, isosceles, equilateral, and noTriangle. Write a function triangleShape that takes as parameters three numbers, each of which represents the length of a side of the triangle. The function should return the shape of the triangle. (Note: In a triangle, the sum of the lengths of any two sides is greater than the length of the third side.) Write a program that prompts the user to input the length of the sides of a triangle and outputs the shape of the triangleUse the predicate symbols shown. Some plants are flowers. All flowers smell sweet. Therefore, some plants smell sweet. P(x), F(x), S(x)
- When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…please do the following in c++ A school has 100 lockers and 100 students. All lockers are closed on the first day of school. As the students enter, the first student, denoted S1, opens every locker. Then the second student, S2, begins with the second locker, denoted L2, and closes every other locker. Student S3 begins with the third locker and changes every third locker (closes it if it was open, and opens it if it was closed). Student S4 begins with locker L4 and changes every fourth locker. Student S5 starts with L5 and changes every fifth locker, and so on, until student S100 changes L100.After all the students have passed through the building and changed the lockers, which lockers are open? Write a program to find your answer and display all open locker numbers separated by exactly one space.(Hint: Use an array of 100 bool elements, each of which indicates whether a locker is open (true) or closed (false). Initially, all lockers are closed.)A student makes the following argument. if I receive a good grade, the instructor teaches well. I didn't receive a good grade. Therefore, the instructor didn't teach well. is the student's argument valid? Let A be the statement, "I receive a good grade" and B be the statement, " the instructor teaches well." Then, rewrite the above paragraph using A and B.
- Description After midterm, kind teacher C.C. in class Rou decides to holds a bingo game in class Rou. The game rules are as followed: 1. Every student should prepare a 5 by 5 girds on the bingo card. 2. Filling bingo card with a number from 1 to 25. Each number should exist exactly once. 3. Handing the filled bingo card to the teacher. 4. According to teacher CC's mood, she will come out an order of the numbers from 1 to 25. 5. For each bingo card, the teacher will mark the number as the order in step 4. until all numbers in some lines are marked. 6. Each marked number will consider one additional point for the student. There are 12 lines in the bingo card, 5 vertical lines, 5 horizontal lines, and 2 diagonal lines. Please write a program to help teacher C.C. to judge bingo cards. Input The first line of input is an integer nn, shows the number of students, numbering through 1 to n. Followed by 5n5n lines are bingo cards. Every 5 lines are one card. The last line with 25 integers is…Please code in C++. Write a program that simulates a coin-tossing game. At the beginning of the game, each of N players has a single fair coin and M points. The game performs a sequence of passes until only a minimum number of players remain. In a pass the players toss their coins into the air and when the coins fall to earth, the players count the number of coins that show heads and the number of coins that show tails. If the number of heads exceed the number of tails, then the players who tossed heads increase their points by an integer P and the players who tossed tails decrease their points by the same integer P. The players perform the opposite actions when the number of tails is greater than the number of heads. If the number of heads equals the number of tails, then no player’s points change. If any player’s points fall below one, then the player leaves the game, never to return. The game employs a second integer K to compute P’s value. K’s and P’s initial values are one.…MONTY HALL LAB write this code in python and use # to answers questions - You are only allowed to use the following functions/methods: print(), range(), len(), sum(), max(), min(), and .append(). It is not mandatory to useall of these functions/methods. In this lab, you will write a code that simulates the Monty Hall Game Show. Thegame host gives the participant the choice of selecting one of three doors. Twodoors has a goat behind them and one door has a prize. The set of choices arerandomized each round. The participant needs to select the door with the prizebehind it. When the participant selects a door, the game host reveals a door with agoat behind it. The game host opens a door (different from the one selected by theparticipant) that has a goat behind it. The participant is then given the option tochange their choice. When you run your code, the code would display a message prompting the user toinput their door choice, labelled as 1, 2, and 3. Then the code will display a…