S.6 Submth Test 4 Caltec S.6

TurnOver S.6 SUBMTC WORK 2 Year 2010 2012 weight Commodity Cost per kg Cost per kg A 2500 3000 4 B 1500 1200 3 C 1000 1400 5 D 500 700 6 E x 1800 2 Given the average weighted index for 2012 using 2010 as the base year is 125, find the value of x (5marks) 8.A particle of mass 2kg rest on a rough horizontal plane .A force of 6.5N inclined at an angle of sin-1 5 13 to the horizontal acts upwards on the particle .If the particle to is about is about to slide , ,find the coefficient of friction betwee n the particle and the plane . (5marks) 9. The table below shows the frequency distribution of the marks scored by 40 pupils in a test marked out of 50 Marks Number of pupils 0 - 4 1 5 - 9 4 10 - 14 6 15 - 19 8 20 - 24 10 25 - 29 9 30 - 34 2 a) Use suit able assumptions to estimate the ; i) Percentage mean mark ii) Standard deviation (10m arks) b) Calculate the range of the middle 50% of the distribution (5marks) 10. The table below shows the overtime hours (x) and the corresponding earnings (y) in thousands for shillings for 9 emplyees of a certain factory X(hours) 79 81 84 52 66 56 57 35 57 Y (‘000’) 70 84 84 53 47 63 66 51 34 3 TurnOver a) i) Draw a scatter diagram for the data ii)Comment on the relationship between the earnings and the time spent on the job b) i)Calculate the rank correlation coefficient ii)Comme nt on your results (15m arks) 11. The table below shows the quarterly sales in millions of shillings of a certain dairy farm for the …