Question

QUESTION ONE 1.1 Evaluate each of the following without the use of a calculator. Show all working (steps). Write down the answer in the simplest form. 1.1.1 (32)** (2x3°)* < (18) 1.2 1.1.2 la Students' grades in a computer science course are assessed according to their performance in assignment, a mid-course exam and a final exam. The relative weightings of these are: Assignment 20% o Mid-course exam 25% Final exam 55% 1.3 A particular student marks of 52 out of 60 for the assignment, 48 out 100 for the mid-course exam and 155 out of 2000 for the final exam. Based on the above weightings, calculate a weighted mark out of 100 for this student. Convert the following decimals to reduced fractions 1.3.1 0.073 1.3.2 0.55 Write the following numbers in scientific notation. 1.4.1 0.000897 1.4.2 8.97 1.4 BB 33 33 GS 1.5 If each of the data set is increase by 10%, what happens to the value of the: 1.5.1 mean 1.5.2 mean deviation 1.5.3 standard deviation

Answer 1

Date Jay areTriceos (S)? : (9x(18) (2x) 729 x329 (2x243)? 236196 (966)? - 1 2361% 23496 「又入皇-3] Jºx (3) dy st" (14号-3 [(g) () 2 :33 ( 二 8 我劣。 UX40S 81x8的 1620 | Page No. 2592-0-625

Date Dateixa givon @ Maris Obteiner maors convested to weight(1) Type of out of too |a8|9mmon= 86.66 Assigmond muel Bxam I final exam u8 52/60 48/100 155/2000 20__ os 55 775 80. weighted macks est of100 662+725X48) + (SSX7.75) 100 3359.584 100 = 33-59Y. | decimals to Reeloceed fogchin 10 0.0 73 I = 0.073 = 073 = 73 1000 1000 10 0.55 = 055 - 55 - 100 100

14 . 0 negative num. into sclentific notation 0.000897 = 8.97x104 (if we shift right then I Osponert else positive 8.97 = 89.7 xjö / 0.897 x 104 S if data sed is encorise by 10%. then @ I mean is increased mean deviation is zomams same that means no change in mean deviation. because mean deviation is the average of devietin of Observations from mean standard deviation is semaine same. because when mean increase by 10%. each lever increased by 10 y. 8o. variance remams samat 80 that Standaod deviation remains same. S.D. - V Variance thank you ezz like the ons en begr smiling