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The combination is connected to an external resistance of 24Ω.



Calculate;



a) the intensity of the current?




(2 mks)



b) the intensity of current if the cells are combined in parallel




(3 mks)



c) the intensity of current if the combination has two parallel series of two cells each.

From a population of 700 plants, 500 plants are healthy, rest are unhealthy. For a sample size of 10 plants, calculate the probabilities that—(a) Exactly 3 are unhealthy (b) at least 3 plants are unhealthy (c) at most 3 plants are unhealthy (d) Exactly 3 are healthy (e) None healthy?

Explain why there might be problems in schools with the implementation of some of the gender-fair guidelines


Calculate the mean and the variance of the discrete random variable X which can take only values 1, 2, and 3, given that P(1) = 10/33, P(2) = 1/3, and P(3) = 12/33.




P(X) X-P(X) X²P(X)


























Solve for the mean and the variance of the discrete random variable X which can take only the values 2, 4, 5 and 9, given that P(2) = 9/20, P(4) = 1/20, P(5) = 1/5 and P(9) = 3/10.



X P(X) X∙P(X) X2∙P(X)




























Is Max building positive attitude and emotional competence in employees 

and if not discuss the nature of attitudes that you foresee and consequences 

of these attitudes under his leadership. (10 marks) 


Test whether the series ∞Σn=0 1/(n^5+x^3) converges uniformly or not

Given: A = 100m, 30°NofE; B⃑ = 80m, 30°WofNandC = 40m, 55°SofW

a) Write each vector in Figure on the right in terms of

the unit vectors î and ĵ.

b) Use unit vectors to express the vector C , where

C = 3.0A − 4.0B⃑ .

c) Find the magnitude and direction of C .


Show your solution:A soda mint tablet contains NaHCO3 as an antacid. One tablet requires 30.5 mL of 0.135 M HCI for complete reaction. Determine the number of grams of NaHCO3 that one tablet contains. The chemical equation for the reaction is:


NaHCO (s)+HCI (aq)- NaCI (aq)+CO2 (g)+ H2O (I)

Given: A = 100m, 30°NofE; B⃑ = 80m, 30°WofNandC = 40m, 55°SofW

a. Plot the given vectors in the coordinate plane.

b. Calculate the components of vectors A, B and C.

c. Write each vector in terms of the unit vectors.

d. Determine the resultant vector.


  1. now we look at the role taxes play in determining equilibrium income. Suppose we have an economy described by the following functions:


C = 500 + 0.8YD


I  = 700


G = 300


TR = 100

TA =  400

NX = -100


a. Calculate the equilibrium level of income and the multiplier in this model.

b. Calculate also the budget surplus, BS.

c. Suppose that TA increases to 500. What is the new equilibrium income? 




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