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If the weights of 600 students are normally distributed with mean of 50 kilograms and a variance of 16kilograms.



a.) Determine the percentage of students with weights lower than 55 kgs.



b.) How many students with weight between 50kgs and 55kgs.

Balance the following reactions by half-reaction method. Identify the oxidizing agent and the reducing agent. Show your process in balancing the reactions.


Ag + I- + Sn4+       AgI + Sn2+   

Ti3+ + Fe(CN)63-       TiO2+ + Fe(CN)64- 

HNO2 + MnO4-       NO3- + Mn2+  


5. A balloon has a volume of 2.25 L when the temperature is 40 degree celsius. What will be the volume if the balloon is cooled to 12 degree celsius? Assume the pressure to be constant.


4. A 2.5 litre sample of a gas is heated from 25 degree celsius to 55 degree celsius at constant pressure. Compute the volume at the higher temperature?


3.At 250C, the volume of chlorine gas is 15 dm3 .What is the resulting volume if the temperature is adjusted to 320K provided that the pressure remains constant?


A race car accelerates uniformly from 18.5 m/s to 23.6m/s in 21seconds. Determine the acceleration of the car and the distance traveled





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If the weights of 600 students are normally distributed with a mean of 50 kilograms and a variance of 16 kg




b.) How many students with weights between 50 kgs and 55 kgs. (5 points)




(b) The cell reaction for a galvanic cell is given below Cu(s)+2Ag^(+)(aq)rarr Cu^(2+)(aq)+2Ag(s) (i) Write the half-cell reactions at the anode and the cathode (ii) Calculate the value of cell emf under standard conditions; use data from Table 7.1 (iii) Will the reaction be spontaneous as written?

An insurance company found that 45% of all insurance policies are terminated before their maturity date. Assume that 10 polices are randomly selected from the company’s policy database. Assume a Binomial experiment.


a) What is the probability that eight policies are terminated before maturity?

b) What is the probability that at least eight policies are terminated before maturity?

c) What is the probability that at most eight policies are not terminated before maturity?


You are given a population of 3 elements , which are 3,4,5. Suppose all possible samples of size 2 are drawn from the population with replacement, compute for the following;



Mean of the sample means;



Variance of the sample means; and standard deviation of the sample means

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