positively skewed. (c) For adults, the body-mass index is given by where is the mass in kilograms and the height in metres. Kevin is 1.9 metres tall and has a body-mass index of 25. Calculate Kevin’s mass. (d) Change the subject of the formula to . (e) Find the final balance of an account if $15,000 was invested earning 6.2% p.a. interest, compounded monthly over four years. Question 23 (START A NEW PAGE) (a) The diagram below represents the percentages under a normal curve in detail. What percentage of scores have a -score of: between and between and 1. less than and greater than . (b) A water trough has a uniform cross-section in the shape of half an ellipse. The width of the trough is 80 cm and the area of the shaded cross-section is 1890cm2. The trough is 300 cm long. Calculate the number of litres of water the trough will hold when it is full. Calculate the depth of the trough ( cm). Give your answer to the nearest cm. (c) The surface area of a cylinder which is open at one end is m2. If the radius is m find to two decimal places. Find the volume of the cylinder to two decimal places if required. (d) The grouped frequency table shows the number of people at a Gold Coast resort.
positively skewed. (c) For adults, the body-mass index is given by where is the mass in kilograms and the height in metres. Kevin is 1.9 metres tall and has a body-mass index of 25. Calculate Kevin’s mass. (d) Change the subject of the formula to . (e) Find the final balance of an account if $15,000 was invested earning 6.2% p.a. interest, compounded monthly over four years. Question 23 (START A NEW PAGE) (a) The diagram below represents the percentages under a normal curve in detail. What percentage of scores have a -score of: between and between and 1. less than and greater than . (b) A water trough has a uniform cross-section in the shape of half an ellipse. The width of the trough is 80 cm and the area of the shaded cross-section is 1890cm2. The trough is 300 cm long. Calculate the number of litres of water the trough will hold when it is full. Calculate the depth of the trough ( cm). Give your answer to the nearest cm. (c) The surface area of a cylinder which is open at one end is m2. If the radius is m find to two decimal places. Find the volume of the cylinder to two decimal places if required. (d) The grouped frequency table shows the number of people at a Gold Coast resort.
12_general_half_yearly_2013.docx