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Da Silva and Ehlers decided to admit Fischer as from 1 January as a partner under the following terms:

Ficsher will receive 1/5 of the profits and losses.

Da Silva and Ehlers will contribute in the ratio of 1:2 toward Fischers 1/5 profit share.

Fischer must pay N$1800000 for her 1/5 share in the partnership assets.

The assets of the partnership were re -valued on 1 January 2018 and the revaluation account revealed a surplus of N$60000.


Required:

Calculate the new profit sharing ratio after the admission of Fichser.


A teacher asked Ramesh to draw a Quadrilateral of a specific pattern with only symbol. The length and height should be L. Here L is the number of characters in every line.The height of the * quadrilateral is the number of lines it contains.
The slope of the quadrilateral taken as S represents the the number of extra space characters in a line when compared to its next line.
The last line will not have any space characters before the character.

Sample Input
6
9
Sample Output1
         ******
       ******
     ******
   ******
 ******
******


Consider an electric circuit with an inductance of 0.05 henry, a resistance of 20 ohms, a condenser of capacitance of 100 micro farads and an E = 100 volts. Find I and Q given the initial conditions Q = 0, I = 0 at t = 0


Explore transport as service and industry within the South African economy.

list contains numbers. Write a program for containing only prime numbers.


 Write a python function Read_Prime(fname, list) which takes a list of numbers as an input, use this number to write them in a file "primes.txt" . The function then read the file and return a list containing only prime numbers as shown in the example. Also, write the exception handling code to show the proper message.

 

Example-1

Example-2

Example-2

Input:

primes.txt

[1,2,3,4,5,6,7]

 

Output:

[1,2,3,5,7]

Input:

primes.txt

[3,6,5,13,18,21]

 

Output:

[3,5,13]

Input:

primes.txt

[2,4,6,8,10]

 

Output:

[2]

 

Derive the relationship between marginal cost, wage and marginal product of labour


mean,median and mode

given a list of integers,write a program to print the mean,median and mode

mean - the average value of all the numbers.

median - the mid point value in the sorted list.

mode - the most common value in the list. if multiple elements with same frequency are present, print all values with same frequency in increasing order.

input

the input will be a single line of containing space-separated integers.

output

the first line of output should contain the mean, round off the value to 2 decimal places.

the second line of output should contain the median, round off the value to 2 decimal places

the third line of output should contain the mode

mean should always be a float value

mean should be a float value when there are even number of elements, otherwise should be an integer value

see sample input/output for the output format

explanation

for example, if the given list of integers are

2 4 5 6 7 8 2 4 5 2 3 8

the average of all the numbers is 4.67.

after sorting the array,

2 2 2 3 4 4 5 6 7 8 8



Suppose a firm employs labor as its only variable input. All workers are paid $200 per day. Output per day and variable cost are shown below.

q 1 2 3 4 5 6 7 8

VC 200 400 600 800 1200 1600 2400 3200

L 1 2 3 4 6 8 12 16


Required:

a)Find each unit of output (Q) calculate the units of labour (L) needed to produce the corresponding output level.

b)If the inverse demand for highlighter is p = 60 - Q. At a price of $20, what is the consumer surplus?




Problem 1:

Figures kept by McClure and Hanover Auctioneers for the past 5 years show that the weight of cattle brought to market has a mean of 950 kg and a standard deviation of 150 kg. What proportion of the cattle have weights of:

  1. more than 1,250 kg
  2. less than 850 kg
  3. between 1,100 kg and 1,250 kg
  4. between 800 kg and 1,300 kg?

 

Problem 2:

A set of observations follow a Normal distribution with a mean of 40 and a standard deviation of 4. What proportions of observations have values of:

  1. greater than 46
  2. less than 34
  3. between 34 and 46
  4. between 30 and 44
  5. between 43 and 47?
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