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- le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"Write code for. Computes the smallest x that satisfies the chinese remainder theorem for a system of equations. The system of equations has the form: x % nums[0] = rems[0] x % nums[1] = rems[1] ... x % nums[k - 1] = rems[k - 1] Where k is the number of elements in nums and rems, k > 0. All numbers in nums needs to be pariwise coprime otherwise an exception is raised returns x: the smallest value for x that satisfies the system of equations.The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.
- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A(Learning Objective: students will be able to apply their knowledge of the built-in random package to generate simulations of simple phenomena.) Write a function: • dicesim(D1,D2,trials) that takes as input the number of sides on die 1 (D1) and die2 (D2) and the number of trials. Your function should repeatedly sum pairs of random numbers between 1 and D1 and 1 and D2 and keep track of how many times each sum occurs. The function returns a numpy array with the fraction each sum of rolls occured. Since the numbers are chosen at random, the fractions will differ some from run to run. One run of the function print(p22.dicesim(6,6,10000)) resulted in: [0. 0. 0.0259 0.0615 0.0791 0.1086 0.139 0.1633 0.1385 0.114 0.0833 0.0587 0.0281] or displayed using the code from Section 16.1.1.: PMF of X Note: you should submit a file with only the standard comments at the top and the function. The grading scripts will then import the file for testing.(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.Given L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.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…
- Code in Python Write a function, print_integers_less_than(n), which takes an integer parameter n and prints each integer k which is at least 0 and is less than n, in ascending order. Hint: use a simple for loop. For example: Test Result print_integers_less_than(2) 0 1 print_integers_less_than(5) 0 1 2 3 4 print_integers_less_than(-3)Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0Practicing Loops. Einstein Private Elementary school has three classes in each of its 9 grades. 27 classes in total. It has kindergarten (grade 0) though 8th grade. The school allows parents to pay tuition over the nine-month school year. Tuition for kindergarten is $90 dollars every month. Tuition for the other grades is $50 times the grade level every month. (1st grade is $50 a month, second grade is $100 a month, etc.) Design a programming solution that outputs nine tuition payment bills for each of the 27 classrooms. Each bill must contain the grade number (0 through 8), the classroom number (1 through 3), the month (1 through 9) and the amount of the tuition due. Your output should look something like: Grade Classroom Month Tuition 0 1 1 90 0 1 2 90 0 1 3 90 0 1 4 90 ... 8 3 7 400 8 3…SEE MORE QUESTIONS
