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In a study of life expectancy of 400 people in a certain geographic region, the mean age death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that he mean life expectancy will be less than 68 years?


Given two dates D1 and D2, write a program to count the number of Saturday and sundays from D1 to D2 (including D1 and D2). The date in string format is like "8 Feb 2012"

Lindiwe decides that she would like to buy her daughter,Mbali, a car when she turns 21 in six years time. She deposits R6000 each month into an account earning 8,94% interest per year, compounded monthly. The amount that Lindiwe ( rounded to the nearest rand ) will have available six years from now is


A firm uses three local hotels to provide accommodations for its clients. From past experience, it is known that 20% of its client are assigned rooms at Hotel A, 45% at Hotel B and 35% at Hotel C. It is also known that the probabilities of Hotel A, Hotel B and Hotel C facing water problems are 0.02, 0.01 and 0.03 respectively.

(a)Draw a tree diagram for the above data

(b)What is the probability that a client will be assigned a room without water problem?



Given a strong, write a program to print a secret message that replaces character with numbers 'a' with 1, 'b' with 2,...'z' with 26 where characters are separated by '-'

The calcium chloride produced in the solvay process can be used in the production of road salt.however it is sometimes discharged as waste into the sea by coastal industrial plants .describe a simple test and its results that can be carried out on a sample of seawater to monitor if calcium chloride has been discharged into the sea.

A university has analyzed the results of 1,000 students after the first year examinations. The result of the analysis is summarized below

 

Types of sponsorship

Examination results

Government

Private

Church

Students who were to be discontinued

155

150

105

Students who passed the examination

180

195

170

Students who were to sit for a supplementary paper

20

5

20

Required

The probability that a student was discontinued or was required to sit for a supplementary paper                                                                                                           

The probability that a student was a government sponsored           

The probability that a privately sponsored student passed the examination     

The probability that a student was church sponsored and was required to sit for a supplementary paper                                              


10 tonnes of limestone is added to 15 tonnes of brine. By using the overall reaction of the process.determine which of the raw materials are in excess.calculate the maximum mass of sodium carbonate that can be produced with these raw materials. Hence calculate the actual mass of sodium carbonate produced if the percentage yield of the process is 84.5%

1.Define realism



2. Discuss critical Realism as it relates to education.

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