The graphical user interface (GUI) was pioneered in the mid-1970s by researchers at:

A) Apple Computer

B) Microsoft

C) Xerox

D) IBM

Answers

Answer 1

Answer:

its C actually

Explanation:

C) Xerox plus i had a quiz

Answer 2

Answer:

xerox

Explanation:


Related Questions

Fix the 2 error codes.
1 // DebugSix2.java
2 // Display every character between Unicode 65 and 122
3 // Start new line after 20 characters
4 public class DebugSix2
5 {
6 public static void main(String args[])
7 {
8 char letter;
9 int a;
10 final int MIN = 65;
11 final int MAX = 122;
12 final int STOPLINE1 = 85;
13 final int STOPLINE2 = 122;
14 for(a = MIN; a <= MAX; a++)
15 letter = (char)a;
16 System.out.print(" " + letter);
17 if((a == STOPLINE1) & (a == STOPLINE2))
18 System.out.println();
19 System.out.println("\nEnd of application")
20 }
21 }
1 // DebugSix4.java
2 // Displays 5 random numbers between
3 // (and including) user-specified values
4 import java.util.Scanner;
5 public class DebugSix4
6 {
7 public static void main(String[] args)
8 {
9 int high, low, count;
10 final int NUM = 5;
11 Scanner input = new Scanner(System.in);
12 // Prompt user to enter high and low values
13 System.out.print("This application displays " + NUM +
14 " random numbers" +
15 "\nbetween the low and high values you enter" +
16 "\nEnter low value now... ");
17 low = input.nextInt();
18 System.out.print("Enter high value... ");
19 high = input.nextInt();
20 while(low == high)
21 {
22 System.out.println("The number you entered for a high number, " +
23 high + ", is not more than " + low);
24 System.out.print("Enter a number higher than " + low + "... ");
25 high = input.nextInt();
26 }
27
28 while(count < low)
29 {
30 double result = Math.random();
31 // random() returns value between 0 and 1
32 int answer = (int) (result * 10 + low);
33 // multiply by 10 and add low -- random is at least the value of low
34 // only use answer if it is low enough
35 if(answer <= low)
36 {
37 System.out.print(answer + " ");
38 ++count;
39 }
40 }
41 System.out.println();
42 }
43 }

Answers

Answer:

See Explanation

Explanation:

Considering the first program: DebugSix2.java

The following statement needs to be terminated

System.out.println("\nEnd of application")

as

System.out.println("\nEnd of application");

Then, the loop needs to be enclosed as this:

for(a = MIN; a <= MAX; a++){

letter = (char)a;

System.out.print(" " + letter);

if((a == STOPLINE1) & (a == STOPLINE2))

System.out.println();}

Considering the first program: DebugSix4.java

You only need to initialize variable count to 0 as this:

count = 0

I've added the correct source code as an attachment

Given code
#include
#include
using namespace std;
bool weHaveWinner(int a,int b)
{
return (a>=21 && b>=21 && abs(a-b)>1);
}
int main()
{
int aPoints = 0;
int bPoints = 0;
string input;

// ToDo: Write a loop until input is "end" or we have a winner
// the loop should read the input and add a point to aPoints if "A"
// or add a point to bPoints if "B", don't do anything but leave the
// loop if "end"

while(1)
{
cin >> input;
if(input=="end")
break;
if(input=="A")
aPoints++;
if(input=="B")
bPoints++;
if(weHaveWinner(aPoints,bPoints))
break;
}
// Tell the user if we have a winner or not
if(aPoints > bPoints + 1 && aPoints >= 21)
{
cout aPoints + 1 && bPoints >= 21)
{
cout << "Team B won! (" << aPoints << "-" << bPoints << ")" << endl;
}
else
{
cout << "Game ended as a draw. (" << aPoints << "-" << bPoints << ")" << endl;
}
return 0;
}

Answers

Answer:

YES

Explanation:

Answer:

yeet

Explanation:

yeet

What steps should a user take to create a secondary address book?

Open the Backstage view and Account Settings.
Open the Backstage view, and click People options.
Open the People view, and click New Address Book.
Open the People view, click Folder tab, and click New Folder.

Answers

Answer:

It's A

Explanation:

correct on edg

Answer:

A is correct on edg

Explanation:

The kinetic energy of a moving object is given by the formula KE = ½mv2 where m is the object’s mass and v is its velocity.Modify the program you created in Project 5 so that it prints the object’s kinetic energy as well as its momentum.Below is an example of the progam input and output:Mass: 5Velocity: 2.5The object's momentum is 12.5The object's kinetic energy is 15.625

Answers

Answer:

Written in Python

mass = float(input("Mass: "))

velocity = float(input("Velocity: "))

KE = 0.5 * mass * velocity**2

momentum = mass * velocity

print("The object's momentum is "+str(momentum))

print("The object's kinetic energy is "+str(KE))

Explanation:

This line prompts user for mass

mass = float(input("Mass: "))

This line prompts user for velocity

velocity = float(input("Velocity: "))

This line calculates kinetic energy

KE = 0.5 * mass * velocity**2

This line calculates momentum

momentum = mass * velocity

The next two lines prints the momentum and kinetic energy

print("The object's momentum is "+str(momentum))

print("The object's kinetic energy is "+str(KE))

HEY DO U LIKE TRAINS!

Answers

Answer:

yes

Explanation:

yes

Declare Integer values[SIZE] = 1, 2, 3, 4, Debugging Exercises 1. What is the error in the following pseudocode? // This program uses an array to display five names Constant Integer SIZE = 5 Declare String names [SIZE] = "Meg", "Jack", "Steve "Bill", "Lisa" Declare Integer index For index = 0 To SIZE Display names[index] End For ​

Answers

Answer:

In "Declare String names [SIZE] =", Meg and Jack are done correctly, however for Steve and Bill, there is no ending quote after Steve, and no comma separating the two. More of a common problem than one would think

it should look more like

Declare String names [SIZE] = "Meg", "Jack", "Steve", "Bill", "Lisa"

Two Smallest (20 points). Write a program TwoSmallest.java that takes a set of double command-line arguments and prints the smallest and second-smallest number, in that order. It is possible for the smallest and second-smallest numbers to be the same (if the sequence contains duplicate numbers). Note: display one number per line. Hint: Double.MAX_VALUE is the largest real number that can be stored in a double variable. java TwoSmallest 17.0 23.0 5.0 1.1 6.9 0.3 0.3 1.1 java TwoSmallest 1.0 35.0 2.0 1.1 6.9 0.3 0.3 6.7 0.3 0.3

Answers

Answer:

Written in Java

import java.util.*;

public class Main {

   public static void main(String args[]) {

     int n;

     Scanner input = new Scanner(System.in);

     n = input.nextInt();

     double nums []= new double [n];

     for (int i=0; i<n;i++)

     {

         nums[i] = input.nextDouble();

     }

     

     Arrays.sort(nums);

     System.out.println("The two smallest are: ");

     for (int i=0; i<2;i++)

     {

         System.out.println(nums[i]);

     }

   }

}

Explanation:

This line declares number of input

     int n;

This line calls the Scanner function

     Scanner input = new Scanner(System.in);

This line gets input from user

     n = input.nextInt();

This line declares an array of n elements

     double nums []= new double [n];

The following iteration gets input into the array

     for (int i=0; i<n;i++)

     {

         nums[i] = input.nextDouble();

     }

This line sorts the array

     Arrays.sort(nums);

The following iteration prints the two smallest

     System.out.println("The two smallest are: ");

     for (int i=0; i<2;i++)

     {

         System.out.println(nums[i]);

     }

Write a method that will receive 2 numbers as parameters and will return a string containing the pattern based on those two numbers. Take into consideration that the numbers may not be in the right order.

Note that the method will not print the pattern but return the string containing it instead. The main method (already coded) will be printing the string returned by the method.

Remember that you can declare an empty string variable and concatenate everything you want to it.

As an example, if the user inputs "2 5"

The output should be:

2
3 3
4 4 4
5 5 5 5

Answers

Answer:

The purpose of the Java compiler is to translate source code into instructions  public static void main(String[] args)  Arity is the number of arguments passed to a constructor or method or the number ... and objects, which are the focus of object-based programs.  Remove the 2 from between the square brackets to make.

Explanation:

his exercise creates a program to convert the temperature values form Fahrenheit to Celsius for a list of 10 temperature values between -10° and 75°. The program shall have the following features:1. Create a temperature list that contains 10 values ranging from -10° to 75°.2. Create a function to convert temperature values from Fahrenheit to Celsius.3. Create a while-loop to index the temperature value item in the list and call the function to calculate the temperature value in Celsius.4. Print the temperatures in the format of:32 degrees Fahrenheit = 0 degrees Celsius

Answers

Answer:

def fahrenheit_to_celsius(temperature):

   c = (temperature - 32) / 1.8

   return c    

temperature_list = [-10, -5, 0, 10, 20, 32, 40, 50, 60, 75.2]

i = 0

while i < 10:

   print(str(temperature_list[i]) + " degrees Fahrenheit = " + str(fahrenheit_to_celsius(temperature_list[i])) + " degrees Celsius")

   i += 1

Explanation:

*The code is in Python.

Create a function named fahrenheit_to_celsius that takes one parameter, temperature

Convert the temperature to celsius using the formula

Return the result of the conversion

Create a list holding ten temperatures

Create a while loop that iterates 10 times. Inside the loop, call the function to convert the each temperature in the list and print the result

Q10: You cannot rename a compressed folder.

Answers

Answer:Oh yes you can.

Click slowly twice the folder.

Right click and choose rename.

Write a function index(elem, seq) that takes as inputs an element elem and a sequence seq and returns the index of the first occurrence of elem in seq. The sequence seq can be either a list or a string. If seq is a string, elem will be a single-character string; if seq is a list, elem can be any value. If elem is not an element of seq, the function should return the length of the sequence. Dont forget that the index of the first element in a sequence is 0. Here are some examples: >>> index(5, [4, 10, 5, 3, 7, 5]) solution

Answers

Answer:

def index(elem, seq):

   for i in range(len(seq)):

       if elem == seq[i]:

           return i

   

   return len(seq)

print(index(5, [4, 10, 8, 5, 3, 5]))

Explanation:

Create a function named index that takes elem and seq as parameters

Create a for loop that iterates through the seq. If elem is equal to the item in the seq, return the i, index of the item.

If the elem is not found in the seq, this means nothing will be returned in the loop, just return the length of the seq, len(seq)

Call the function with given parameters and print the result

Note: Since 5 is in the list in the example, the index of the 5 which is 3 will be returned

In this exercise we have to use the knowledge of computational language in Python, so we have that code is:

It can be found in the attached image.

What is an index in Python?

An index, in your example, refers to a position within an ordered list. Python strings can be thought of as lists of characters; each character is given an index from zero  to the length minus one.

So, to make it easier, the code in Python can be found below:

def index(elem, seq):

  for i in range(len(seq)):

      if elem == seq[i]:

          return i

  return len(seq)

print(index(5, [4, 10, 8, 5, 3, 5]))

See more about python at brainly.com/question/26104476

Which change should she make in her outline?

Change Step 2 to “Click the Format tab.”
Change Step 3 to “Open the Chart Title dialog box.”
Change Step 4 to “Type in the chart title.”
Change Step 5 to “Add the Chart Title.”

Answers

Answer:

A

Explanation:

Which of the following is true of both copyrights and trademarks?
a.) Both are granted for an unlimited period of time
b.) Both must be applied for and granted by the government
c.) Both provide protection of intellectual property to the owner
D.) Both are registered with the government

Answers

Answer:

C.

Explanation:

A trademark protects stuff like symbols or logos, and copyrights protect an idea or composure. Both protect intellectual property

Answer:

C

Explanation:

Did it on ed2020

Sukhi needs to insert a container into her form to collect a particular type of information. Which object should she insert?
text box
form field
field code
image

Answers

Answer:

text box

Explanation:

When it comes to collecting information such as the user's name, telephone number, address, etc., it is important to insert a text box into the form field. This can be done in several ways, such as giving the user the freedom to type her own response in the text box or making it "pre-filled." A text box with pre-filled value means that the user cannot type anything in the box because it has an existing value (default value). The text box may also give a "hint" in order to let the user know of possible values he can choose.

Answer:

A- text box

Explanation: ;)

Please Help Me
What kinds of solutions are proposed for different IT issues, and what are their advantages and disadvantages?

Answers

Answer:

There are three basic forms of business ownership: sole proprietorship, partnership and corporation. Each of these forms of business organization has advantages and disadvantages in such areas as setting up the company, paying taxes and assessing liability for business debts

Next, Sue decides to embed a chart from Microsoft Word. She copies and pastes data from a table that she has already created in a Word document. The table includes the results of her paper towel experiment. After reviewing her work, she realizes she needs to update one of the values.

How can she change that value so it is reflected in the chart in her presentation?

She can change the value in the original table in Word.
She can change the value directly on the chart in PowerPoint.
She can change the value using the Current Selection command group.
She can change the value in the mini- spreadsheet for the chart in PowerPoint.

Answers

Answer:

Its D

Explanation:

On Edg

Answer:

D. She can change the value in the mini- spreadsheet for the chart in PowerPoint.

Explanation:

hope this helps :)

12. Write C statement(s) that accomplish the following. a. Declare int variables x and y. Initialize x to 25 and y to 18. b. Declare and initialize an int variable temp to 10 and a char variable ch to 'A'. c. Update the value of an int variable x by adding 5 to it. d. Declare and initialize a double variable payRate to 12.50. e. Copy the value of an int variable firstNum into an int variable tempNum. f. Swap the contents of the int variables x and y. (Declare additional variables, if necessary.) g. Suppose x and y are double variables. Output the contents of x, y, and the expression x 12 / y - 18. h. Declare a char variable grade and set the value of grade to 'A'. i. Declare int variables to store four integers. j. Copy the value of a double variable z to the nearest integer into an int variable x.

Answers

Answer:

a.

int x = 25;

int y = 18;

b.

int temp = 10;

char ch ='a';

c.

x += 5;

d.

double payRate = 12.5;

e.

int tempNum = firstNum;

f.

int tempp = x;

x = y;

y = tempp;

g.

printf("Value of x = %f\n",x);

printf("Value of y = %f\n",y);

printf("Arithmetic = %f\n",(x + 12/y -18));

h.

char grade = 'A';

i.

int a,b,c,d;

a = 5; b = 2; c = 3; d = 6;

j.

int x = round(z);

Explanation:

The answers are straight forward.

However, I'll give a general hint in answering questions like this.

In C, variable declaration is done by:

data-type variable-name;

To declare and initialise the variable, you do;

data-type variable-name = value;

So, for questions that requires that we declare and initialise a variable, we make use of the above syntax..

Take (a) for instance:

int x = 25;

int y = 18;

Same syntax can be applied to (b), (d), (e), (h) & (I)

For question (c);

This can be done in two ways;

x = x + 5;

Or

x+=5;

Both will give the same result.

For question (f):

We start by initialise a temporary variable that stores x.

Then we store the value of x in y.

Then we store the content of the temporary variable to y.

This swaps the values of x and y

For question (g):

When printing a double variable in C, we make use of '\f' as a string format

For question (j):

The round function is used to round up a double variable to integer.

Java Eclipse homework. I need help coding this

Project Folder: Lesson 03
package: challenge3B
Class: ChallengeProject3B

Complete the code challenge below.

(You will need to use escape sequences to print the \ and “ characters )

Write a program that displays the following:

1. Write code that displays your name inside a box on the console screen, like this:

+-----------------+

­­| Your Name |

+-----------------+

2. Write code that prints a face, using text characters, hopefully better looking than this one:

//////

| o o |

(| ^ |)

| \_/ |

-------

3. Write code that prints a tree:

/\

/ \

/ \

/ \

--------------

“ “

“ “

“ “

Answers

public class ChallengeProject3B{

   public static void main(String [] args){

       System.out.println("+-----------------+");

       System.out.println("|   YOURNAME      |");

       System.out.println("+-----------------+");

       System.out.println("\n//////");

       System.out.println("| o o|");

       System.out.println("|\\_/|");

       System.out.println("-----");

       System.out.println("\n/\\");

       System.out.println("/\\");

       System.out.println("/\\");

       System.out.println("/\\");

       System.out.println("--------------");

   }

}

I hope this helps!

A standard core of rules or specification is beneficial because ____.
A. all programmers involved in with a product can follow the same guidelines
B. A variety of styles is the best for the final part
C. Everyone’s code style is followed
D. Style changes with different subject matter

Answers

Answer:

The answer to this question is given below in the explanation section. However, the correct answer is A.

Explanation:

A standard core of rules or specification is beneficial because ____.

A. all programmers involved in with a product can follow the same guidelines

B. A variety of styles is the best for the final part  

C. Everyone’s code style is followed

D. Style changes with different subject matter

The correct answer is

A standard core of rules or specification is beneficial because all programmers involved in with a product can follow the same guidelines .

Other options are not correct because a variety of styles is not   prefered and used in software development, and everyone's code style can not be followed easily. Because programming style changes with different programmers, so it would not easy for other programmer to read and understand the code.    

2
Select the correct answer from each drop-down menu.
Different web browsers perform similar
functions, which are presented in the form of?
A. Text labels
B. Webpages
C. Buttons and menus

Answers

Answer:

The answer to this question is given below in the explanation section.

Explanation:

The correct answer to this question is B.

Because different browsers perform similar functions that are presented in the form of webpages. If you want to run the webpage in chrome, it will run similarly as you run it in internet explorer or in firefox.

However, other options such as text labels and buttons and menus are not the browser functions because these are the elements of the webpages.

so the correct answer to this question is webpages.

Given four values representing counts of quarters, dimes, nickels and pennies, output the total amount as dollars and cents. Output each floating-point value with two digits after the decimal point, which can be achieved as follows: System.out.printf("Amount: $%.2f\n", dollars); Ex: If the input is: 4 3 2 1 where 4 is the number of quarters, 3 is the number of dimes, 2 is the number of nickels, and 1 is the number of pennies, the output is: Amount: $1.41 For simplicity, assume input is non-negative.
LAB ACTIVITY 2.32.1: LAB: Convert to dollars 0/10 LabProgram.java Load default template. 1 import java.util.Scanner; 2 3 public class LabProgram 4 public static void main(String[] args) { 5 Scanner scnr = new Scanner(System.in); 6 7 /* Type your code here. */|| 8 9) Develop mode Submit mode Run your program as often as you'd like, before submitting for grading. Below, type any needed input values in the first box, then click Run program and observe the program's output in the second box Enter program input (optional) If your code requires input values, provide them here. Run program Input (from above) 1 LabProgram.java (Your program) Output (shown below) Program output displayed here

Answers

Answer:

Replace /* Type your code here. */ with the following lines of code

int quarter =scnr.nextInt();

int dime = scnr.nextInt();

int nickel = scnr.nextInt();

int penny = scnr.nextInt();

double dollars = quarter * 0.25 + dime * 0.1 + nickel * 0.05 + penny * 0.01;

System.out.printf("Amount: $%.2f\n", dollars);

System.out.print((dollars * 100)+" cents");

Explanation:

The next four lines declare the given currencies as integer

int quarter =scnr.nextInt();

int dime = scnr.nextInt();

int nickel = scnr.nextInt();

int penny = scnr.nextInt();

This line calculates the amount in dollars

double dollars = quarter * 0.25 + dime * 0.1 + nickel * 0.05 + penny * 0.01;

The next two lines print the amount in dollars and cents respectively

System.out.printf("Amount: $%.2f\n", dollars);

System.out.print((dollars * 100)+" cents");

Given four values representing counts of quarters, dimes, nickels and pennies, the total amount in dollars and cent can be represented as follows;

#1 quarters = 0.25 dollars

#1 dime  = 0.1 dollar.

#1 nickel = 0.05 dollars

#1 penny = 0.01 dollars

#quarters, dimes, nickels and pennies,

x = input("write your input here: ")

for i in x:

  quarters = 0.25*float(x[0])

  dime = 0.1*float(x[1])

  nickel = 0.05*float(x[2])

  penny = 0.01*float(x[3])

sum1 = quarters + dime + nickel + penny

print(round(sum1, 2))

Code explanation:

The commented section of the code is just the conversion rate of quarters, dime, nickel and penny to dollars.

Variable x is used to store the user's input.Then, we loop through the users inputThen multiply each looped value by it conversion rate to dollars.Finally, we sum the values and print the sum rounded to 2 decimal places as required.

learn more on python code here: https://brainly.com/question/24556911?referrer=searchResults

essay regarding a magic cell phone that turns into robot

Answers

It should be noted that when writing an essay, it's important to effectively present the information to the readers.

Writing an essay.When writing the essay, the following steps are required:Create an essay outline.It's important to also develop a thesis statement.Introduce the topic.Then, write the body of the message The conclusion should be presented.

It should be noted that when writing the essay, it's also important to integrate the evidence clearly and ensure that the grammar used is correct.

Learn more about essays on:

https://brainly.com/question/25607827

give the synyax and example of any three mathematical functions in spreadsheet​

Answers

Answer:

The answer to this question is given below in the explanation section

Explanation:

There are different mathematical functions that can be used in the spreadsheet for performing some required calculations on data such as taking the average of numbers, adding numbers, multiplying the numbers.

But most commonly used three mathematical functions in the spreadsheet is given below:

1. AVERAGE(): The average function is used to find the average of a given number of cells.  

Syntax of Average() function: average(number1, number2,.....).

2. SUM(): The sum function is used to add all the values within a range of cells.

Syntax: of sum() function:  sum(cell address1: cell address2)

3.COUNT(): Count () function is used to count the number of data.  

Syntax of Count() function: count(cell address1: cell address2)

What changes has Sue made so far? Check all that apply.

She added a chart title.
She changed the legend.
She added a title for the x-axis.
She changed the title of the y-axis.
She changed the x-axis column labels.
She changed the color of the chart style.

Answers

Answer:

She added a title for the x-axis.

She changed the x-axis column labels.

She changed the color of the chart style.

Explanation:

Correct on Edg

write algorithm to find (a+b)^2=(a+b)*(a+b)​

Answers

Answer:

Basically

(a+b)^2 = a^2 + b^2 + 2ab

Explanation:

steps

       1: start

       2: read a value

        3: read b value

        4: c=(a+b)*(a+b);

        5: print  c value

         6:end

differences between laptop andhandheld conputer​

Answers

Answer: a conputer has a moniter and a mouse and laptop doesn't

Explanation:

What is the output of the following program?
t = "$100 $200 $300"
print(t.count('$'))
print(t.count('s', 5))
print(t.count('$', 5, 10)

Answers

The count() function compares the number of units with the value specified. so, the complete Python program and its description can be defined as follows:

Program Explanation:

In this program, a string type variable "t" is declared that holds a value that is "$100 $200 $300".After accepting a value three print method is declared that uses the count methods.In the first method, it counts how many times "$" comes.In the second method, it counts how many times "s" comes, but in this, it uses another variable that is "5" which counts value after 5th position.In the third method, it counts how many times "$" comes, but in this, it uses two other variables that are "5, 10" which counts value after the 5th and before 10th position.  

Program:

t = "$100 $200 $300"#defining a string type variable t that holds a vlue

print(t.count('$'))#using print method that calls count method and prints its value

print(t.count('s', 5))#using print method that calls count method and prints its value

print(t.count('$', 5, 10))#using print method that calls count method and prints its value

Output:

Please find the attached file.

Learn more:

brainly.com/question/24738846

After applying transitions to his presentation, Omar uses the Slide Show feature to view the them. He notices that the transitions he applied do not occur between all the slides.

Which step did Omar forget to do?

Right-click the mouse.
Press the OK button.
Click the Apply To All button.
Uncheck the On Mouse Click box.

Answers

Answer:

Its C

Explanation:

On Edg

Answer: Click the apply to all button

Explanation:

Ken has inserted an image into his PowerPoint presentation, but the image contains a lot of empty and/or unnecessary space. He needs to eliminate this space. Which option should he use to achieve this goal?

cut
copy
crop
adjust

Answers

Answer:

C. crop

Explanation:

Answer:

c

Explanation:

Let T be the statement: The sum of any two rational numbers is rational. Then T is true, but the following "proof is incorrect. Find the mistake. "Proof by contradiction: Suppose not. That is, suppose that the sum of any two rational numbers is not rational. This means that no matter what two rational numbers are chosen their sum is not rational. Now both 1 and 3 are 1/1 and 3 3/1, and so both are ratios of integers with rational because 1 a nonzero denominator. Hence, by a supposition, the sum of 1 and 3, which is 4, is not rational. But 4 is rational because 4 4/1 , which is a ratio of integers with a nonzero denominator. Hence 4 is both rational and not rational, which is a contradiction. This contradiction shows that the supposition is false and hence statement T is true.

Answers

Answer:

the mistake is in the first statement.

Explanation:

Now lets us put the statement into consideration:

"The sum of any two rational numbers is irrational"

The negation is: " there exists a pair of rational numbers whose sum is irrational". (Existence of at least one of such a pair).

The negation is not "the sum of any two rational numbers is irrational"

Therefore the mistake is in the first statement and it is due to incorrect negation of the proof.

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