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- A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself. Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it. Your task is to write a function checking whether a number is prime or not. in phython langauge Ques: The function: is called IsPrime() takes one argument (the value to check) returns True if the argument is a prime number, and False otherwise. Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process. If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5 Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and…A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself.Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it.Your task is to write a function checking whether a number is prime or not.The function:•is called IsPrime()•takes one argument (the value to check)•returns True if the argument is a prime number, and False otherwise.Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process.If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5Python programming question Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and call the…A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself. Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it. Your task is to write a function checking whether a number is prime or not. Please us phython language The function: is called IsPrime() takes one argument (the value to check) returns True if the argument is a prime number, and False otherwise. Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process. If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5 Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and…
- b. Drawing a polygon Now that you can draw a circle, the next step is to draw a polygon inside the circle. Write a function DrawPolygon (N). The points of a N-sided polygon should be at angles 2π/N. You should add an extra point at the end so your polygon looks closed. Use your function to draw a 5-sided polygon (after drawing the circle): DrawCircle() DrawPolygon (5) plt.show() Write below your function to draw a N sided polygon and then use it to draw a 5-sided polygon. You can use dTheta = 2*np.pi/N in your function. ? Answer (start) # ANSWER ME Answer (end)Two closely related statistical measures will allow us to get an idea of the spread or dispersion of our data. The first measure is the variance, which measures how far from their mean the individual observations in our data are. The second is the standard deviation, which is the square root of the variance and measures the amount of variation or dispersion of a dataset. Write a function calculate_variance() that takes a list and returns its variance. The variance is calculated by first finding the mean (average), then by summing for all elements (element - mean), and then dividing this sum to number of elements. cs104 / ME202 Homework-3 1 You can write another helper function called mean() that takes a list as parameter and returns its average. Write Python statements that create a list of one hundred elements with random integer values from 1-50, both inclusive. Display those values on the screen, calculate variance and standard deviation of your random dataset by calling the above…3. Find Relatively Prime Write a function to return a number that is relatively prime with the given number. /* return an integer that is relatively prime with n, and greater than 1i.e., the gcd of the returned int and n is 1 Note: Although gcd(n,n-1)=1, we don't want to return n-1*/int RelativelyPrime (int n) 4. Find Inverse Then implement the following function, which returns the inverse modulo, and test it.Note that you need to check whether a and n are relative prime before calling thisfunction. Recall that a and n are relatively prime means that gcd(a,n)=1, i.e., theirgreatest common divisor is 1. Also recall that the extended Euclidean Algorithm canfind the integer s and t for a and n such that as+nt=gcd(a,n), where s is the inverseof a modulo n. /* n>1, a is nonnegative *//* a<=n *//* a and n are relative prime to each other *//* return s such that a*s mod n is 1 */int inverse (int a, int n){int s, t;int d = ExtednedEuclidAlgGCD (n, a, s, t);if (d==1){return (mod (t,…
- Using R: Write a function simulatePlanes() that takes in as input a number of days and a logical value determining whether you want tothe plot or not. If you do not want to see the plot, have it return a vector of simulated plane counts for each day. If you would like to see the plot, have it return a list, the first element of which is the vector of simulated plane counts for each day, and the second element of which is a histogram.please code in python MCQ are a very popular form of assessment because they can be automatically graded…and the students can choose an answer at random if they don’t know.The goal of this exercise is to write a function scoreMCQ(attempt, correct), where attempt is a string that contains the answers of the student and correct is a string with the correct answers.The function should return the number of correct answers.Check first that both strings have the same length, otherwise raise an exception.If both strings are empty the score should be 0 of course.To test your code, you can copy paste the following assert statements as your main function:assert(scoreMCQ("","")==0), "First test failed"assert(scoreMCQ("TFTF","TTTT")==2), "Second test failed"assert(scoreMCQ("TTTT","TTTT")==4), "Third test failed"assert(scoreMCQ("CCCC","ABCD")==1), "Fourth test failed"print("All tests succesfull")Nationality. Prove the function works by testing it 2. BLACKJACK: Sample two cards from a "deck of cards" (ace, 2-10, jack, queen, king). Find the total of the two cards (ace counts as 11 and facecards count as 10). If the total is 21 print "BLACKJACK!" otherwise print "Try again". Keep drawing pairs of two cards until you get blackjack. Set your seed to 30 at the start of this problem ? Write 2 that ohe to frame for NAe If NA is found it should replace NA with the
- Data geeks log their daily activities for no good reasons. In this problem, you are to process data in a logbook. The logbook is given to you as a list of strings. These are the lines from the logbook. Our goal is to derive this person's average jogging speed (ignoring data about all other activities). The author logged data into her book carefully following a specific format. Hence, your input looks similar to the following example: log_book = [ "cycling;time:1,49;distance:2", "jogging;time:40,11;distance:6", "swimming; time:1,49;distance:1.2", "jogging; time:36,25;distance:5.3", "hiking; time:106,01;distance:8.29" There can be as many lines (entries) as the logbook may contain. But each line always contains three pieces of information: (1) the type of activity; (2) the duration of that activity (time in minutes); and (3) the distance involved in that activity (in km). These three pieces are semicolon(;)-separated, and there will not be extra spaces anywhere. Therefore, for example,…Write a program that loads in historical data on popular baby-names for the last 100 years. You can type in a name, and it graphs the rank of that name over time. A high ranking, like 5, means the name was the 5th most popular that year (top of the graph), while a low ranking like 879 means the name was not that popular (bottom of the graph). Write it in python the latest version The first function you will write and test is the clean_data function. The function is described in the starter code in a function header comment above the function. Here is the function: def clean_data(list, x): #TODO: write your code here pass Take a look at the first few lines of the data file: A 83 140 228 286 426 612 486 577 836 0 0 Aaliyah 0 0 0 0 0 0 0 0 0 380 215 Aaron 193 208 218 274 279 232 132 36 32 31 41 Each line is a baby name followed by how popular the name was in 11 different years. Each number is a ranking, so Aaron was 193th most popular name in 1900 and 41st most…To translate a sentence into pig Latin, create a function. When a word is written in pig Latin, its first character is dropped, shifted to the word's tail, and the letters "ay" are added. For instance, "hello world" would be "ellohay orldway" in pig Latin. Your function can be written to presume that each word has at least two letters, that there is one space between each word, and that there are no punctuation marks.