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vitfil [10]
3 years ago
7

Consider Statement 1: All prime numbers greater than 3 are equal to a multiple of six, plus 1 or minus 1. Let P(x) be the statem

ent "x is a prime number." Let Q(x) be the statement "x is greater than 3." Let R(x) be the statement "x % 6 = 1 or x % 6 = 5." (i.e. x is a multiple of 6, plus or minus 1)
Let U be the domain of x. (% represents the modulo operation in this question.)

a. Given the following definitions of U, translate the above statement into an expression of predicate logic.

i. U = all prime numbers greater than 3.

ii. U = all prime numbers.

iii. U = all positive integers.
Computers and Technology
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

Explanation: P(x): Prime number; Q(x): Prime number greater than 3; R(x): Positive integer and U(x): All prime numbers

i) {∀x) (Q(x) ⇒  (U(x)}

ii) {∀x) (P(x) ⇒ (U(x)}

iii) {∀x) (R(x) ⇒(U(x)}  

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An animal shelter recently held an adoption event and found homes for 48 of their shelter animals. If they found home for 80% of
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Explanation:

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Fourlotts Corp. provide integrated services that include storing manufactured goods, packaging, and delivering it to the dealers
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The answer is "Logistics provider of third parties".

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In the given statement some information is missing, that is options, which can be described as follows:

a.Center for Allocation

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d. Manufacturer with contracts

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Answer:

The program for this question can be given as:

Program:

import java.util.*;  //import package

public class TicketSeller  //define class

{

public static void main(String ar[])  //main method

{

int totalTickets=100,userCount=0,remainingTickets=100,numTickets; // varaibale

try           //try block

{

Scanner ob= new Scanner(System.in);  //input by user

System.out.println("Total Tickets:"+totalTickets);

while(remainingTickets!=0)          //loop

{

System.out.print("Enter no of Tickets to buy:");      //message.

numTickets=ob.nextInt(); //taking input

if(numTickets<=4)         //conditional statements.

{

if(remainingTickets>=numTickets)

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remainingTickets=remainingTickets-numTickets;              //calculate remainingTickets

userCount++;

System.out.println("remaining tickets : "+remainingTickets+" user :"+userCount);      

}

else

{

System.out.println("Invalid Input");

}

}

else

{

System.out.println("Invalid Input");

}

}

}

catch(Exception e)            //catch block.

{

}

}

}

Output:

Total tickets:100

Enter no of Tickets to buy: 4

Remaining tickets : 96 User :1

Enter no of Tickets to buy: 4

Remaining tickets : 92 User :2

Enter no of Tickets to buy: 4

Remaining tickets : 88 User :3

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Enter no of Tickets to buy: 4

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