6 o p = 4 6 ) r = (b) find the determinant of the matrices: - á = 7 12 (ii) l-8 15 b = (c) given the data 6. 12.721210 and 20.calculate the mean value 5. (a) a survey was conducted of 200 children under 10 years to see how many visits the made to the clinic during the course of the year. the results were recorded as shown below: - no. of 5 6 7 8 9 10 11 12 13 14 visits frequency 16 33 47 54 31 10 4 calculate the mean and draw the cumulative frequency curve. 15 (6) the angle of elevation of the top of a tree from point a and b 25 and 56° respectively. given that a and b are on the horizontal ground and in a straight line with the tree, and that b is 30m fro the foot of the tree. find: - (i) the height of the tree (ii) the distance of a from b.
Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).