python Q3: Repeatedly Cube Implement the following function, which cubes the given value x some number n times, based on the given skeleton. (define (repeatedly-cube n x) (if (zero? n) x
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python
Q3: Repeatedly Cube
Implement the following function, which cubes the given value x some number n times, based on the given skeleton.
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(define (repeatedly-cube n x) (if (zero? n) x (let (_________________________) (* y y y))))
|
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- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1caleulator Create four-function. 4. f using fallowing for fractions by foomu20s Addilion: alb + cld = (a'd + b'c)/(6'd). %3D Subtraction: a/b - cld = (a*d- b'c) |(b"d). Multiplication: a|b* c/d = (a*c) / (b"c) %3D %3D • The m should display above mentioned formulas first. The should take the values of user from should then display user. The the piogram desult of each process Addition, subtraction Multiplication and Division. lines separate an on Screen.Hi here Python3 function sqr(n) that returns the square of its numeric parameter n..Write a function that sums all the numbers of the major diagonal in an nxn matrix of integers using the following header:def sumMajorDiagonal(m):The major diagonal is the diagonal that runs from the top left corner to the bottom right corner in the square matrix. Write a test program that reads a 4x4 matrix and displays the sum of all its elements on the major diagonal.Is Prime Function Write a well-documented Python program, hmwk4Q1.py, that defines a function isPrime.py(N). The function accepts an integer N and returns True if N is a prime number, otherwise, returns False. Next, define the main function that asks the user for a range of numbers, say from 2 to M, and counts how many prime numbers there are within the range. Hints: Adapt your solution from Homework 2.Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…| The code in Part 1 counts the crossings and nestings for a given matching. We now want to use this to analyze the distribution of crossings and nestings for arc diagrams with 100 arcs. Using your function random_matching from Exercise [1.4], generate 104 such arc diagrams and create histograms for the numbers of crossings and nestings, respectively. Display them in a single plot. Also generate a two-dimensional histogram for the joint distribution of crossings and nestings. What do you observe?CodeW X bFor fun X C Solved x b Answer + x https://codeworko... CodeWorkout X265: Recursion Programmlng Exercise: GCD The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD , write the missing base case condition and action. This function will compute the greatest common divisor of x and y.You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows: = x and GCD(x, y) = GCD(y, x % y). Examples: GCD (6, 4) -> 2 Your An swer: 1 public int GCD(int x, int y) { if > { 2. > 3. } else { 4. return GCD(y, x % y); 9. { 7. 1:09 AM 50°F Clear 1V 1. 12/4/2021 甲Create a program that accepts an integer N, and pass it to the function generatePattern. generatePattern() function which has the following description: Return type - void Parameter - integer n This function prints a right triangular pattern of letter 'T' based on the value of n. The top of the triangle starts with 1 and increments by one down on the next line until the integer n. For each row of in printing the right triangle, print "T" for n times. In the main function, call the generatePattern() function. Input 1. One line containing an integer Output Enter N: 4 T TT TTT TTTTWrite a function that takes in an integer n and computes n!. Do this without recursion. In [ ]: deffactorial_iter(n):"""Takes in an integer n>0 and returns the product of all integers from 1 to n."""# YOUR CODE HEREraiseNotImplementedError() In [ ]: In [ ]: assert factorial_iter(6) == 720 assert factorial_iter(7) == 5040 assert factorial_iter(10) == 3628800IN python, • generate_number(pct_per_digit): Takes one float as input. Returns a random number that is constructed as follows. First, use the function above to get a random number. This number will correspond to the length (number of digits) that the number generated by this function should have. For example, if that function returns 3, then this function should generate and return a random number with three digits. Note that in the case of a multi-digit number (2 digits or greater), the first digit cannot be 0. >>> random.seed(1337) >>> generate_number(0) 9 >>> random.seed(9002) >>> generate_number(0.5) 41700(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.SEE MORE QUESTIONS
