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Calculate the : 1) average speed 2) root mean square speed and 3) most probable speed of oxygen molecule at 515k. {Given Mm(O2)= 0.016Kg mol(–1)


25 cm3 of a solution containing T grams of K2CO3 in 1000 cm3 of solution were completely neutralized by 20.00 cm3 of a solution containing 0.025 mole of H2SO4 in 1 dm3 of solution

Calculate the :

(a) concentration of K2CO3 solution in moldm-3

(b) Value of T

(c) mass of K2SO4 formed

(d) volume of CO2 evolved at STP

(e) number of H2O molecules


Let P(x):x2/2=x


Find the following then identify their truth values.


P (1)


P (2)


∀n,P(n)


∃n,P (n)



Mabel borrowed an amount of money from her father.The loan will be paid back by means of R25000 each every second month for six years,an interest of 7,5% per year,compounded every two months,will be applicable,The amount of loan is


1. Examine the current ten years development plan in Ethiopia. Identify its strengths and weaknesses.


2. Some scholars argue that the current Ethiopian economy seems that it is in “underdevelopment trap,” or long-term stagnation situation. Suggest and elaborate possible development theories that help the country to overcome the obstacles for its development.


3. Government statistical results show that there has been remarkable economic growth in Ethiopia during the last couple of decades or so. However, some proportion of the population has been complaining that they become poorer “despite the observed economic growth”. Evaluate the economic performance observed in the last couple of decades in Ethiopia in development economic terms.







Develop a Python application that will randomly select n integers from 1 to 45 without repetitions.


Sample Output 1:


How many numbers? 6 6 randomly selected nos. [21, 35, 16, 36, 5, 8]

An organization is granted a block of addresses with the beginning address 150.25.0.0/24. The organization needs to have 3 subblocks of addresses to use in its three subnets: one subblock of 11 addresses, one subblock of 40 addresses, and one subblock of 125 addresses. Design the network and plot it completely with respective subnets, IP range, Network IDs


Assume the random variable X can take values of -1, 0, 1, 2. The probabilities are 1/2c 3/4c 5/8c 2/16c. As a result, the constant c =

An electric iron is rated 500W, 200V calculate the :




(a) the current required to operate the iron




(b) the heat generated in 30minutes.





The primary coil of a transformer contains 24 turns of wire. The secondary coil of the transformer contains 1200 turns of wire. 


The primary coil is connected to an alternating potential difference of 6.0 V. Calculate the potential difference across the secondary coil. 


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