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Given the following data on the ages of 75 persons in years. Calculate the first four central moments. Age 09.5–14.5 ,14.5–19.5 , 19.5–24.5 , 24.5–29.5 , 29.5–34.5 ,34.5–39.5, 39.5–44.5 , 44.5–49.5

Number of persons: 3,6,8,12,8,6,3,2 Total 75

Full details explain


Mabel borrowed an amount of money from her father. The loan will be paid back by means of payments of R25 000 each every second month for six years. An interest rate of 7,5% per year, compounded every two months, will be applicable. The amount of the loan is

Mabel borrowed an amount of money from her father. The loan will be paid back by means of payments of R25 000 each every second month for six years. An interest rate of 7,5% per year, compounded every two months, will be applicable. The amount of the loan is

Calculate the standard deviation and CV for the age distribution presented below:



Age: 09.5-12.5 12.5-15.5 15.5-18.5 18.5-21.5 21.5-24.5 24.5-27.5 27.5-30.5



Frequency: 3 14 23 12 8 4 1



Explain your results

If Gouda cheese and cheddar cheese are substitutes, then which of the following would increase the demand for cheddar cheese?


In a game a random sentence was chosen and the players were divided into different groups. Each group was given a word from the sentence, making sure that the number of groups formed is equal to number of words in sentence. Number of players in each group corresponds to number of letters in the word given to them.


They were made to sit in a line in the order of the letters in the word. When game starts, the player should rotate left such that when sat in a line., the word formed should start with a vowel. Find final sentence formed.


Note: if no vowels, player will not rotate



Input: A boy carrying bag slipped on floor



Output: A oyb arryingc agb ippedsl on oorfl



Need correct output sir.

Anil is given a sentence s. He tries to make this sentence special. A sentence can be mads special by swapping the character with the highest frequency with character having lowest frequency in the sentence. Help anil by transfering sentence into a special sentence.



Note: upper and lower case letters are different



* If there are multiple letters with same frequency, choose lower case letter that comes earliest in dictionary order.



* If letters like X and B have same frequency consider X



If x and b have same frequency consider b.



Input: python is a programming language



Output: python is e progremming lenguega




Need correct output sir.

  1. Market structures are referred as the competitive environment in which the buyers and sellers of the product operate. A market consists of all the actual and potential buyers and sellers of a particular product. Discuss thoroughly oligopolistic and perfect competitive market structure and give examples of each form of the market structure.
  2. Differentiate between product market and labour market (Use diagrams that explain the interactions in the markets).

Which of the following statements about gravity are true? 1. There is no gravity on the moon. II. For all objects on Earth, the force of gravity is approximately 9.8 N III. In a vacuum, all objects fall at the same rate. IV. Acceleration due to gravity can be found by dividing the force of gravity by the mass of the object. a) III and IV only Ob) II, III, and IV only Oc) II and IV only d) I, II, and Ill only e)


Calculate Qsp if 0.00050M NaF is mixed with 0.000015M Ca5(PO4)3OH in equal volumes. The book is giving 2.4 x 10 -40 as the answer and I can't reconcile that

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