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Consider the set of even single-digit number {0,2,4,6,8}. Construct the sampling distribution of the sample means for the size of 3 and the standard error.

Oil flows through a standard 25 mm diameter orifice under 5.5 m head at a


measured rate of 3 L/s. The jet strikes a wall 1.5 m away and 0.12 m


vertically below the centreline of the contracted section of the jet. Determine


all the coefficients of the orifice.

In your respective groups find an example of a South African company’s code of ethics. Upload the document OR Copy the link and paste it into a word document with the heading “Code of Ethics”.

After finding an example of a South African Company’s code of ethics read through it and name and discuss the ethical theory that your group argues this company adheres to. Make a clear and convincing argument (not exceeding 250 words) as to why (after reading the code of ethics) you think this is the ethical theory that the company subscribes to

Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with paint blemishes. Hint: There are eight (8) elements in the sample space. 

Assume the following:

• Brad and Jenny both produce food and dishes;

• Constant opportunity costs;

• Brad can produce 100 tonnes of food or 100 tonnes of dishes;

• Jenny can produce 400 tonnes of food or 200 tonnes of dishes;

• In autarky (i.e. self-sufficiency without trade) each person produces both goods and the optimal mix before the trade for Brad is (80) tonnes of food and (20) tonnes of dishes. For Jenny, the optimal mix before the trade is (300) tonnes of food and (50) tonnes of dishes.


a) What is the opportunity cost of 1 tonne of food for Brad? What is the opportunity cost of 1 tonne of dishes for Brad? What is the opportunity cost of 1 tonne of food for Jenny? What is the opportunity cost of 1 tonne of dishes for Jenny?

b) Which person has a comparative advantage in food and which person has a comparative advantage in dishes?

c) What are the minimum terms of trade that each person would be willing to accept in order to trade?


Discuss one Input-Output communication technique that is used

in a computer system; and outline the steps involved


QUESTION 2 Taylor and Weber's scientific management system suggests that management should do all the thinking; they should set the goals, plan and supervise. It goes on to suggest that the workers should NOT think at all; they should just do the tasks required of them. Many theorists argued that the aim of Taylor and Weber, namely increased efficiency, would not be met if managers did not consider how their workers felt. Substantiate this statement with a practical example of a principal who imposes a certain decision on teachers and does not consider their feelings & paint a scenario that prove that teachers can never just teach without thinking about or carrying out other issues related to teaching and learning. [50]

. Explain why the verb “to be” is realized as “am” and “were” in the following 

sentences: 

a) I am a student (2 marks)

b) We were tired (2 marks)

c) What is the grammatical concept that can be used to explain the 

changes in the form of the verb “to be” in a) and b) above? (1 mark)


#include <iostream> using namespace std; #include <string>



class cat



string color="White": string action="sitting"



Your Code Here



int main()



cat cl;



cat c2("Black"):



cat c3("Brown", "jumping");



cat c4("Red", "purring");



cl.print_cat():



c2.print_cat();



c3.print_cat():



c4.print_cat():



cl.change_color("Blue"); c3.change_color("Purple");



cl.print cat();



c3.print_cat():



return 0:



Complete the cat class so the main function above produces the following output:



White cat is sitting



Black cat is sitting Brown cat is jumping



Red cat is purring



Blue cat is sitting Purple cat is jumping

Complete the cat class so the main function above produces the following output:




White cat is sitting




Black cat is sitting Brown cat is jumping




Red cat is purring




Blue cat is sitting Purple cat is jumping

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