2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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A P P E N D I X E S Tables and Data Sets A Areas under the Normal Curve B Student’s t Distribution C Data Set 1 — Real Estate D Data Set 2 — Major League Baseball E Data Set 3 — OECD F Data Set 4 — Northwest Ohio School Districts G Critical Values of the F Distribution H Critical Values of Chi-Square I Binomial Probability Distribution J Factors for Control Charts K Poisson Distribution L Table of Random Numbers M Wilcoxon T Values N Banking Data Set — Case 262 Appendixes Appendix A Areas
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Discuss the cause of the Tacoma bridge disaster‚ in terms of waves‚ vibrations‚ and resonance. Elaborate the effects with relevant equations and formulae. The Tacoma bridge collapse can be attributed to the waves caused by the buildup of energetic vibrations. These energetic vibrations were built up from the bridge “taking energy from the steadily blowing wind” (Crowell). Eventually enough of these energetic vibrations built up to cause resonance within the system‚ causing the wave-like motion
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Mathematics is highly valued in our society but for many students the thought of learning mathematics is daunting. Learning mathematics in primacy school may have been a positive experience but it may have also been filled with frustration and anxiety. If a teacher has a negative view of mathematics then their students will adopt this view. Students must be shown the relevance and purpose of mathematics in a real life and meaningful way. There is no doubt that mathematics is an indispensable tool
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Brief Introduction: AJ Davis is a department store chain‚ which has many credit customers and want to find out more information about these customers. AJ Davis has complied a sample of 50 credit customers with data selected in the following variables: Location‚ Income (in $1‚000’s)‚ Size (Number of people living in the household)‚ Years (number of years the customer has lived in the current location)‚ and Credit Balance (customers current credit card balance on the store’s credit car‚ in $)
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Geometry PJ Architecture and Geometry Architecture and geometry are perfect complements of each other they go hand to hand in so many ways let’s discuss some of these ways. Architecture has geometry written all over it if geometry never existed Architecture wouldn’t have existed either. First of all geometry is the reason that we can calculate and measure the sizes and shapes of certain structures for us to use. Geometry allows us pin point exactly how much more we may need or less ‚ without
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Puzzle: Who Got More? Mrs Mess was buying a set of garden furniture. The bill was seventy rupees. She gave the attendant what she thought were two ₹50 notes‚ (actually two ₹100 notes). The attendant was sleepy and didn’t notice either‚ so he gave Mrs Mess what he thought were three ₹10 notes (actually three ₹50 notes). Who ended up better off than they should? Solution: Mrs Mess comes away better off than she should‚ by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay
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Figure 1.1: The slope of a line (usually given the symbol m) is the ratio of the change in the y value‚ ∆y to the change in the x value‚ ∆x. We define the slope of a straight line as follows: Slope = ∆y ∆x v.2005.1 - September 4‚ 2009 1 Math 102 Notes Chapter 1 where ∆y means “change in the y value” and ∆x means “change in the x value” between two points. See Figure 1.1 for what this notation represents. Equation of a straight line Using this basic geometric property‚ we can find
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Erin Meyers 1. What is NIBIN? National Integrated Ballistic Information Network’s purpose is to provide federal‚ state and local law enforcement‚ forensic science‚ and attorney agencies with an automated ballistic imaging system that will aide their investigations by using digital images of shell casings to link violent crimes involving firearms and identify firearm users or “trigger pullers”. 2. List the class and individual characteristics of bullets and cartridge cases. Class characteristics
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before dawn three hundred sixty days a year fails to make his family rich”. The beliefs that hard work‚ opportunity‚ luck‚ and a positive attitude all have a major part in making one an Outlier; I am convinced is true. The chapter‚ Rice Paddies and Math Tests‚ Gladwell suggests that hard work and dedication leads to prosperous outcomes. Most of the driven workers in the world come from China. All over China and in cities like Guangzhou revolve around their rice paddies. The rice paddies in China
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