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LA016791_Assn10_6493MG_Ed2.doc Mathematics General LA XXXXXXXXXXASSIGNMENT 10 Before doing this assignment you need to work through Chapter 8 of your textbook: New Century 12 Mathematics General 2 HSC...

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LA016791_Assn10_6493MG_Ed2.doc Mathematics General LA XXXXXXXXXXASSIGNMENT 10 Before doing this assignment you need to work through Chapter 8 of your textbook: New Century 12 Mathematics General 2 HSC Course, 3rd Edition Klass Bootsma, Sarah Hamper, Margaret Willard, Robert Yen (see your OLS for more details) · Mathematics and Health (Focus Study) Content summary FSHe1 Body Measurements FSHe2 Medication FSHe3 Life expectancy The following outcomes are addressed in this assignment: Outcomes addressed MG2H-1, MG2H-2, MG2H-3, MG2H-5, MG2H-7, MG2H-9, MG2H-10 You can refer to your OLS for more details about the outcomes addressed. ASSIGNMENT 10 Before doing this assignment you need to work through Chapter 8 of your textbook. Do the questions on your own paper. Leave space for your teacher’s comments. Show all necessary working. ____________________________________________________________________ 1. The QE2 Cruise ship is XXXXXXXXXXmetres long, 32.07 metres wide and 52.1 metres high. The average adult cubit is 46 cm. (Note: a cubit is the length of the forearm from the elbow to the tip of the middle finger) (a) Convert the QE2’s length to cubits. (b) The value of a cubit has changed over the years. In ancient times a cubit was 52.9 cm. Today a cubit is 46 cm. Write the difference in these two measurements as a percentage of the ancient cubit. 2. Which graph shows a correlation of approximately r = - 0.9? (A) (B) (B) (D) 3. The dosage rate of Amoxycillin for children is 45 mg/kg per day. How much Amoxycillin is in a single dose for a child taking four doses per day and weighing 24 kg? 4. The recommended dietary intake of protein is 0.75 g/kg for adult women. Calculate the amount of salmon a 65 kg woman would need to eat for her recommended dietary intake of protein. Use 100 g of salmon = 26 grams protein. 5. Ten Year 12 students were measured with the following results: Full Height (x) 169 187 160 172 156 172 182 161 175 170 Belly button height (y) 100 107 98 107 100 104 112 97 110 110 (a) Calculate the mean and population standard deviation for both the full height(x) and the belly button height(y). Give your answers to 2 decimal places, where necessary. (b) The least squares line of best fit has a correlation coefficient of r = 0.77 (2dp). Find the equation of the least squares line of best fit. (c) Use your equation to estimate the full height of a student whose belly button height is 108 cm. 6. A patient’s intravenous tube is checked at 4 pm, exactly 2 hours after it was started. 300 mL of the 1.5 L bag has gone through during this time. (a) The bag contains 5% dextrose. How many mL of dextrose was administered between 2 and 4 pm? (b) Assuming the drip rate had not been adjusted since 2 pm, calculate the drip rate in drops per minute. Use 1 mL = 20 drops. 7. Refer to the Life Expectancy tables for the top 15 and the bottom 15 countries (2005 – 2010) in the Health and Medicine Chapter of your textbook. (Chapter 8, Section 8:07) (a) According to the table, how long would a Japanese baby girl born in 2009 be expected to live? (b) The table shows that in the top 15 countries, women tend to live longer than men by quite a few years whereas in the bottom 15 countries, the gap between male and female life expectancies is different. Name three countries where women would not be expected to live longer than men. (c) In what year would a Somalian baby boy born in 2010 be expected to die? (d) Why can’t a current Australian HSC student predict their life expectancy from this table? 8. Use Fried’s rule to calculate the correct dosage of anti-histamine for a one and a half year old infant where the adult dose is 50 mg. 9. Refer to the running rates and pulse rates data in the table in chapter 4 Section 4:10 of your textbook for this question. (a) Produce a scatter plot (for the first 15 people only) of the Pulse Before (horizontal axis) and the Pulse After (vertical axis). Graph paper is included at the end of the assignment. (b) By referring to your scatter plot comment on the correlation, if any, of this bivariate data. 10. A father taking his family on a cruise brought No More Sick tablets in case of seasickness. No More Sick Medication Use the information shown above to answer the following: (a) The 9 year old daughter gets motion sickness so he decided to give her a dose of No More Sick before they started their cruise. If they were leaving at 7:30 am, what is the latest time he can give his daughter the first dose to prevent seasickness? (b) How much No More Sick should he give her? (c) At what time should he give his daughter the next dose? (d) Meanwhile, an hour after setting sail, the father’s 1 year old son appears to be seasick. How much No More Sick should be administered to the son? Please send your completed assignment to OTEN. See your OLS for details. To be used for Question 9 (a) (Remember to attach this to your assignment) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 6 LA016791 Assignment 10; 6493MG Mathematics General (Pathway 2) HSC Course Ed 2 © New South Wales Technical and Further Education Commission, 2013 (TAFE NSW – WSI), Version 1, November 2013 LA016791 Assignment 10; 6493MG Mathematics General (Pathway 2) HSC Course Ed 2 7 © New South Wales Technical and Further Education Commission, 2013 (TAFE NSW – WSI), Version 1, November 2013 LA016791_Assn10_6493MG_Ed2.pdf LA016791 Assignment 10; 6493MG Mathematics General (Pathway 2) HSC Course Ed 2 1 © New South Wales Technical and Further Education Commission, 2013 (TAFE NSW – WSI), Version 1, November 2013 Mathematics General LA XXXXXXXXXXASSIGNMENT 10 Before doing this assignment you need to work through Chapter 8 of your textbook: New Century 12 Mathematics General 2 HSC Course, 3 rd Edition Klass Bootsma, Sarah Hamper, Margaret Willard, Robert Yen (see your OLS for more details)  Mathematics and Health (Focus Study) Content summary FSHe1 Body Measurements FSHe2 Medication FSHe3 Life expectancy The following outcomes are addressed in this assignment: Outcomes addressed MG2H-1, MG2H-2, MG2H-3, MG2H-5, MG2H-7, MG2H-9, MG2H-10 You can refer to your OLS for more details about the outcomes addressed. 2 LA016791 Assignment 10; 6493MG Mathematics General (Pathway 2) HSC Course Ed 2 © New South Wales Technical and Further Education Commission, 2013 (TAFE NSW – WSI), Version 1, November 2013 ASSIGNMENT 10 Before doing this assignment you need to work through Chapter 8 of your textbook. Do the questions on your own paper. Leave space for your teacher’s comments. Show all necessary working. ____________________________________________________________________ 1. The QE2 Cruise ship is XXXXXXXXXXmetres long, 32.07 metres wide and 52.1 metres high. The average adult cubit is 46 cm. (Note: a cubit is the length of the forearm from the elbow to the tip of the middle finger) (a) Convert the QE2’s length to cubits. (b) The value of a cubit has changed over the years. In ancient times a cubit was 52.9 cm. Today a cubit is 46 cm. Write the difference in these two measurements as a percentage of the ancient cubit. 2. Which graph shows a correlation of approximately r = - 0.9? (A) (B) (B) (D) + + + + + + + + + + + + + + + + + +
Answered Same Day Sep 06, 2020

Solution

Shivagya answered on Sep 08 2020
143 Votes
ASSIGNMENT – 9
SECTION A : Water Usage

1. The table below shows the annual rainfall (to the nearest mm) of seven places around the Sydney area.
    SYDNEY AIRPORT AMO
    123
    RANDWICK BOWLING CLUB
    350
    AVALON (WOLLSTONECRAFT AVE)
    282
    SANS SOUCI (PUBLIC SCHOOL)
    268
    TERREY HILLS AWS
    146
    SYDNEY (OBSERVATORY HILL)
    316
    STRATHFIELD GOLF CLUB
    233
(Reference: Bureau of Meteorology)
a) Using the above data find the:
i) Mean Annual Rainfall
Sol.
    SYDNEY AIRPORT AMO
    123
    TERREY HILLS AWS
    146
    STRATHFIELD GOLF CLUB
    233
    SANS SOUCI (PUBLIC SCHOOL)
    268
    AVALON (WOLLSTONECRAFT AVE)
    282
    SYDNEY (OBSERVATORY HILL)
    316
    RANDWICK BOWLING CLUB
    350
Mean (X’) = ∑X/N
Mean = (123+146+233+168+282+316+350)/7
Mean = 1718/7
Mean = 245
Mean Annual Rainfall = 245mm.
ii) Median Annual Rainfall
Sol.
    SYDNEY AIRPORT AMO
    123
    TERREY HILLS AWS
    146
    STRATHFIELD GOLF CLUB
    233
    SANS SOUCI (PUBLIC SCHOOL)
    268
    AVALON (WOLLSTONECRAFT AVE)
    282
    SYDNEY (OBSERVATORY HILL)
    316
    RANDWICK BOWLING CLUB
    350
Median = {(n + 1) ÷ 2}th Term
Median = {(7+1) ÷2}th Term
Median = 4th Term = 268mm.
Median Annual Rainfall = 268mm.
iii) Range of Rainfall in these Seven Places
Sol.
Range = (Highest Rainfall – Lowest Rainfall)
Range = (350-123)
Range = 227
iv)    interquartile range of rainfall in these seven places
    Quartiles
    
    Q1
Median (UH)
    
    Midpoint
    
    Q3
Median
(LH)
    
    Data Points
    123
    146
    233
    268
    282
    316
    350
IQR = Q3 – Q1
= 316 – 146
= 170 mm
) Are your results from part a) representative of the greater Sydney metropolitan area? Justify your answer.
Sol.
Yes, the 7 places marked above do provide a general representation of the Sydney metropolitan area as they cover more or less every part of it.
c) Construct a column graph illustrating the annual rainfall of each place. (On the graph, use only initial letters for place names, so Strathfield Golf Club would appear SGC)
Sol.
Series 1 is defined as Annual Rainfall at each place
2.    In the Am
ose household there are five people. Each person has a shower each day and uses 110 L of water per shower. Water costs $2.57 per kilolitre (kL). It is decided to install a water-efficient showerhead that uses 60% less water.
How much will the family save on water costs per year?
Sol.
Annual Water Consumption (Shower) for Am
ose Family = 5*110*365
                                 = 200,750 L
                                 = 200.75 KL            
Annual Water Consumption (Shower) for Am
ose Family = 200.75*40%            (After...
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