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c. Compare and contrast all the methods (as well as CSSTP and CASTC). You may construct a table in order to help to compare and contrast the methods.


Find two numbers whose sum is 24 such that the sum of the square of one plus six times the other is a minimum.

A small jewelry box with square of base is to have a volume of 125 cu.cm. Find its dimensions to require the least amount of material.

Using thye following information: H0:=375; Ha: 375; n=100; x = 390; 2=4,900 and a =0.05. is the z-test statistic value equal to 2.14?


Draw activity network of the project.

b. Crash the activities step by step until all paths are critical.


About how many % of scored distribution is between z=0 and z=1?


2. a) Determine whether the following proposition is logically equivalent or not using the truth table.

(5 marks)


b) Construct a truth table to determine whether the following compound statement is a

tautology, a contradiction or a contingency.

(5 marks)


c) Use the laws of logic to establish the following logical expression.

(5 marks)


a) A three digit number is to be formed using the digits 1, 2, 3, 4, 5, 6 and no repetition is

allowed.

i) How many numbers can be formed if the leading digit is 4?

ii) How many numbers can be formed if the number is more than 250?

iii) How many odd numbers can be formed between 200 and 400?

(8 marks)


b) Consider a bookshelf contains 28 books in different genre. 14 books are in education, 9

books in business and 5 books in motivation. A student would like to take 15 books. Find the number of ways if:

I) there is no restriction

ii) the choice must consist of 8 books in education, 5 books in business and 2 books in

motivation genre.

iii) The choice must consist of at least 9 books in education and exactly 5 books in

motivation genre.

(7 marks)




Show your solution using the critical value method.


a previous study on the effect of blended learning module on senior high school student's achievement revealed that mean score pi is 85 with standard deviation of 3. juliana, a senior high school statistic teacher, surveyed a class of 30 students test the hypothesis at a 0.10 level of significance


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