Write a program that will: • Select a random number between 1 and 100. • Test if the number is prime • Call a function named isPrime(). Pass the number to be tested. isPrime() should test whether the number has any factors other than 1 and itself. isPrime() returns either True or False. • isPrime() should use a function isDivisible(x,y) to test if y divides evenly into x. That is, isDivisible() will identify whether y is a factor of x. • Print the result
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• Select a random number between 1 and 100.
• Test if the number is prime
• Call a function named isPrime(). Pass the number to be tested. isPrime() should test whether
the number has any factors other than 1 and itself. isPrime() returns either True or False.
• isPrime() should use a function isDivisible(x,y) to test if y divides evenly into x. That is,
isDivisible() will identify whether y is a factor of x.
• Print the result
Step by step
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- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.A pentagonal number is defined as for and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number:def getPentagonalNumber(n):Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.Write a DECIMATOR function that takes a unit of character and minimizes it (i.e. removes the last 1/10 of characters). Always zoom in: if a bullet unit has 21 characters, 1/10 of the characters will be 2.1 characters, so DECIMATOR removes 3 characters. DECIMATOR is not kind! Examples decimator ("1234567890") 12 "123456789" # 10 characters, taken out 1. decimator ("1234567890AB") # 12 characters, 2 are released. "1234567890" decimator ("123") "12" # 3 characters, taken out 1. decimator ("123456789012345678901") # 21 characters, issued 3. Solve in Ruby "123456789012345678"
- Going missing Some calculations involving blank values may give different results to what you might expect. For example, when you pass a blank value into the AND() function, it is treated as TRUE. This is often unhelpful. To make blanks behave in a sensible way in calculations, you must first convert them to be "not available" using NA(). This function takes no inputs, and returns a missing value. To convert a blank value to a missing value, use this pattern. =IF(ISBLANK(cell), NA(), cell) Instruction In column H, use AND() to find women who have kids and get benefits. In column I, convert the blanks in column G to missing values. In column J, again find women who have kids and get benefits, this time using column I rather than G. please show the formula used to "has kids and gets benefits" , "gets benefits with missing values", has kids and gets benefits". Thank you Is non-white Has over 12 years of school? Is married? Has kids? Has young kids? Is head of household? Gets…Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works as follows: start with the second element in the array if…A positive integer’s proper divisor satisfies 3 conditions: 1.divides the positive integer with remainder zero 2 is less than the positive integer 3. is a positive integer .A positive integer is a serene number if and only if the sum of the number’s proper divisors equals the number. Write and test a function that returns true if its parameter is a serene number and false if its parameter is not. 6 is a serene number because 1 + 2 + 3 = 6. 28 is a serene number because 1 + 2 + 4 + 7 + 14 = 28 There are many more serene numbers.
- A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Design a Boolean function called isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise. Use the function in a program that prompts the user to enter a number and then displays a message indicating whether the number is prime. The following modules should be written: getNumber, that accepts a Ref to an integer, prompts the user to enter a number, and accepts that input isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise showPrime, that accepts an integer as an argument , calls isPrime, and displays a message indicating whether the number is prime The main module, that will call getNumber and showPrimeWrite a fraction calculator program. Your program should check for the division by 0, have and use the following functions: abs - returns the absolute value of a given integer. min - returns the smallest of two positive integers. gcd - returns the greatest common divisor of two positive integers. reduce - reduces a given fraction. flip - reduces a given fraction and flips the sign if the denominator is negative. the program should run repeatedly until the user wants to quit.A pandigital number contains all digits (0-9) at least once. Write a function that takes an integer, returning true if the integer is pandigital, and false otherwise. Examples isPandigital (98140723568910) true isPandigital (90864523148909) → false // 7 is missing. isPandigital (112233445566778899) → false
- Write a program that paints the 4 areas inside the mxm square as follow: Upper left: black. RGB (0, 0, 0) Upper right: white. RGB (255, 255, 255) Lower left: red. RGB (255, 0, 0) Lower right: random colors Random colors Hint: Define a function that paints one of the four squares. Call the function 4 times to complete the painting. (painting means setting the pixels).Prime NumbersIn this task, you will implement a program that takes as input a number n and produces alist of integers less than or equal to n that are prime. The way to think about a problem isto break it down into individual parts. Start by creating a function isPrime() that checkswhether it’s argument is prime or not. The pseudocode for checking isPrime is givenbelow, there are better ways to do it… this is just one.6Step 1: count = 2Step 2: while count < numberStep 3: if count divides the number evenly return falseStep 4: add 1 to countStep 5: Goto step 2Step 6: return trueWrite a program that generates random numbers between -25 and 25 by using the randint function. The program will add up the numbers and terminate when the sum of the values becomes zero. The program should contain the following functions: add() : add up the values main(): the function where the program execution should begin and end. randomgen(): a function that returns a number between -25 and 25 A global variable subsetsum that keeps track of the sum The program should output the count of the number of values generated before exiting saying that the subset sum was zero.