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A finite population consists of 6 elements: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from the population.


Samples of four cards are drawn at random from a population of eight cards numbered from 1 to 6.



A. How many possible samples can be drawn?



B. Construct the sampling distribution of sample means.

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The four successive ionization energies for an unknown element are;

I1=896kJ/mol

I2=1752kJ/mol

I3=14807kJ/mol

I4=17948kJ/mol

To which family in the periodic table does the unknown element most likely belong?


 A real gas behaves most like an ideal gas under the following conditions:


You are given on array a of n integers on which the followings operations can be performed





Pick an index i,0<= i<n.




Choose any integer p.




Replace a

A bookshop gives discount to customers as follows: • Students get 10% discount, • Book dealers get 12% discount and • Pensioners get 15% discount. • All other customers get 10% discount only if their total purchases are more than R200. You are requested to write two versions of a program that calculates and displays the final amount that is due, after discount. (i) The first version of the program uses a switch statement to implement the above program. (ii) The second version of the program uses nested-if statements. Hint: Use the following variables: float amount; // the amount due before discount char customer Type; // the type of customer: 'S' (student) or // 'D' (dealer) or 'P' (pensioner) or


Include the for loop below in a small program and complete the program. The loop should execute 10 times. Do not change the for loop below. Compile and run your program to see for yourself that it works. You do not have to submit this program and output. for (int i = 1; i <= n; i++) cout << i * i; Now convert the for loop into a while loop and add any variable initialisations that you think are necessary. Compile and run your program and submit only the program containing the while loop and its output


Calculator should be able to handle the five basic mathematics operations – +,-,*and divide and modulus – on two input values. Program should have the following structure: Ask the user to enter two float variables named var1 and var2. Ask the user to enter a character variable named operation to represent the operation to be performed on the two variables. Perform the appropriate operation by using if-statements. The output must be given in fixed-point notation with two digits after the decimal point. A typical run is displayed below: Please enter the first float value: 35.6 Please enter the second value: 24.12 Please enter the operation required : The sum of 35.6 and 24.12 is 59.72 Submit both your program and output.


if velocity varies with time in quadratic manner then acceleration

A. constant

B. zero

C. linearly varying

D. varies as t^3


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