How much of the medicine should be given to an 18-month-old child in a 24-hour period if each adult dose is 45 ml. What is the probability that the person chosen is a man who does not own a mobile phone. Using the declining balance method, what will the salvage value of the car be after 3 years, to the nearest dollar.
These students were asked how many hours of sports they play per week, to the nearest hour. What is the average number of hours of sports played by students per week? 17 A child weighing 14 kg should be given 15 mg of paracetamol for every 2 kg of body weight.
How much water per year, to the nearest kiloliter, is this building designed to save when fully occupied. Which tree diagram can be used to determine the probability that Jaz chooses a red apple. 20 In a household of 4, each member uses an average of 13 minutes of hot water per day.
What are the electricity costs for the hot water used by this household in one week?
The times required for 160 music downloads were recorded, classified and then displayed with the cumulative frequency histogram shown. f) The weight of an object on the Moon varies directly with its weight on Earth.
Do NOT write in this area.. Office use only - DO NOT write anything or make any marks below this line. In addition to the selling price, there are also the following costs: i) The stamp duty on this car is calculated at $3 for every $100, or part thereof, of the sale price. Calculate the stamp duty payable. ii) Alex borrows the total amount to be paid for the car, including Stamp Duty and transfer of registration.
DO NOT write in this area.. iv) Alex has decided that he will take out the comprehensive car insurance rather than the cheaper non-compulsory third party car insurance.
The fuel cost is $1.67/L and the distance from her house to the university parking lot is 21 miles. For office use only – Do not write or mark anything below this line. a) James plays a game with a spinner with equal-sized sectors labeled A, B, and C, as shown.
A radial compass survey of a sports center is shown in the diagram. ii) Calculate the length of the boundary AB, to the nearest metre. Using a tree diagram, or otherwise, calculate the probability of getting two heads and a tail in any order.
The swimming pool has a standard length of 50 meters, but is not in the shape of a rectangle. By measuring the length AB, the scale of the diagram is determined. ii) Use this scale to calculate the length XY of the car park in metres.
By measuring the length AB, determine the scale of the diagram. ii) Using this scale, calculate the length XY of the car park, in metres. iii). The cost will be shared equally by the people attending the festival, so C (in dollars) is the cost per person when n people attend the festival. i) Complete the table below by filling in the THREE missing values. ii) Using the values from the table, draw the graph showing the relationship between n and C. iii).
Which equation represents the relationship between n and C. Do NOT write in this area. iv) Give ONE limitation of this equation with respect to this context. What is the maximum number of standard drinks that an 84 kg male can consume in 4 hours in order to maintain a blood alcohol content (BAC) of less than 0.05.
Terry's results on the tests are displayed in the box-and-whisker plot shown in part (i). Draw a box-and-whisker plot to display Kim's results below those of Terry's results. ii) What percentage of Terry's results were below 69. iii). Motivate your answer by referring to the summary statistics and the skewness of the distributions.
For office use only - DO NOT write anything or make any markings below this line. a) Chandra and Sascha plan to have $20,000 in an investment account for their grandchild's school fees in 15 years. The interest rate for the investment account will be fixed at 3% per annum, calculated monthly. Calculate the amount they will need to deposit into the account now to reach their plan.
A scatterplot shows the relationship between spending per primary school student as a percentage of a country's gross domestic product (GDP) and life expectancy in years for 15 countries. What does this show about the ratio of expenditure per primary school student to life expectancy for 15 countries?
What does this show about the relationship between spending per primary school student and life expectancy for the 15 countries? ii). Do NOT write in this area.. iii) Another country has an expenditure per primary school student of 47.6%. The table also shows the mean, y, and standard deviation, σy, of life expectancy for the same 15 countries.
The table also shows the mean, y , and standard deviation, σ , of life expectancy for the same 15 countries. v) Using the values from the table in part (iv), show that the least squares equation fits best. VII). Using this line, or otherwise, estimate life expectancy in a country with an expenditure per primary school pupil of 18% of GDP. viii). Why is this rule NOT useful for predicting life expectancy in a country where spending per primary school student is 60% of GDP?
Board of Studies, Teaching and Educational Standards NSW Office Use Only - DO NOT write anything, or make any marks under this rule.
