DIT107  MATHEMATICS FOR SCIECNE.

UNIVERSITY EXAMINATIONS: 2018/2019
ORDINARY EXAMINATION FOR THE DIPLOMA IN INFORMATION
TECHNOLOGY
DIT107 MATHEMATICS FOR SCIECNE
DATE: AUGUST 2019 TIME: 2 HOURS
INSTRUCTIONS: Answer QUESTION ONE and any other TWO Questions.

QUESTION ONE
a) The sums to the 7th and 11th terms of an Arithmetic Progress are 70 and 144 respectively.
Determine;
i) The 10th term. (4 Marks)
ii) The sum to the 30th term. (4 Marks)
b) Convert the recurring decimal 0. ̅143 ̅̅̅̅ to its simplest fraction (4 Marks)
c) For the sequence -1, 4, 9, … Find:
i) The sum to the 17th term. (4 Marks)
ii) The 20th term

QUESTION TWO

QUESTION THREE

QUESTION FOUR
a) For the following grouped frequency distribution data below,

Find
i) The mean, (5 Marks)
ii) The mode and (5 Marks)
iii) The median (5 Marks)
b) Distinguish between
i) Qualitative and quantitative variables (2 Marks)
ii) Discrete and continuous data. (3 Marks)
QUESTION FIVE
a) Solve for x, y and z in the simultaneous equations:
2x − y + 3z = 8
x + 3y − z = 6
2x − 2y + 5z = 10 (8 Marks)
b) By using an appropriate formula, determine the roots to the quadratic function:

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