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Pollution is an environmental concern. Relate the prior knowledge to science concepts.

Calculate the mean and the variance of the discrete random variable x which one values 12 and 3, given that P(1)=10/33, P(2)=1/3 and P(3)=12/33

A 70 kg father and a 50-kg mother are at opposite ends of a seesaw 6 m long. Where should their 25-kg son sit so that the seesaw is balanced at the center?*


A 2.0 N, 2.0m long uniform rod is used to suspend various weights. A 2N weight is suspended on one end (point A) and a 5N weight is suspended on the other end (point B). A 2.0N object is suspended 0.5 m from point A and a 1.0N is hanged 0.8 m from point B. How far from the center of the rod shall a 3N weight be placed to balance the rod?*


A student opens his laptop with a 2.5 N force at an angle of 70 degrees against the horizontal. Find the torque on the cover of the laptop if the laptop is 20 cm wide.*


You are the marketing director of Football Federation of India. Soccer as a sport although very interesting is not a popular audience sport in India. How would you generate consumer interest in Football? Create a marketing plan for making Football as a consumer sport using the marketing mix principles. 


Given g(x) = (x + 1)(x^2 − x), g: R → R where R is the set of real numbers.

a) Find the domain and range of the function g. (2 marks)

b) Determine whether the function is injective, surjective, and/or bijective. Justify

your answers. (7 marks)


In about 150 words, what are the four implications substandard housing poses for community life?


In about 150 words, propose a few suggestions on how human trafficking can be managed and its impact minimized.


A common Ethiopian cities speed limit is 30km/hr.what is this speed in miles per hour?

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