Everything Maths Grade 12

11.4 CHAPTER 11. STATISTICS them all together. � � � � � y x The best-fit line is then the line that minimises the sum of the sq ...

CHAPTER 11. STATISTICS 11.4 SOLUTION appliance x y xy x^2 1 5 90 450 25 2 10 140 1400 100 3 15 250 3750 225 4 20 300 6000 400 5 ...

11.4 CHAPTER 11. STATISTICS 1 (x,y) 1 DATA n = 1 2 (x,y) 2 , 5 DATA n = 2 3 (x,y) 2 , 75 DATA n = 3 4 (x,y) 3 , 0 DATA n = 4 5 ( ...

CHAPTER 11. STATISTICS 11.4 Press [52] and then [=]to enter the first mark under x. Then enter the other values, in the same way ...

11.4 CHAPTER 11. STATISTICS (a) Draw a scatter plot of the data on graph paper. (b) Identify and describe any trends shown in th ...

CHAPTER 11. STATISTICS 11.4 where n is the number of data points, sxis the standard deviationof the x-values and syis the stand ...

11.4 CHAPTER 11. STATISTICS (d) Calculate the correlation coefficient r. (e) What conclusion can you reach, regardingthe relatio ...

CHAPTER 11. STATISTICS 11.4 Machine hours Sweets produced 3 , 80 275 4 , 23 287 4 , 37 291 4 , 10 281 4 , 17 286 Find the linear ...

Combinations and Permutations 12 12.1 Introduction EMCDB Mathematics educationbegan with counting. Inthe beginning, fingers, bea ...

CHAPTER 12. COMBINATIONS AND PERMUTATIONS 12.3 Both these methods result in 12 possible outcomes, but both these methods have a ...

12.5 CHAPTER 12. COMBINATIONS AND PERMUTATIONS will have a total of n 1 × n 2 possible outcomes. Thisidea can be generalisedto m ...

CHAPTER 12. COMBINATIONS AND PERMUTATIONS 12.5 A more complex problem is determining how many combinations thereare of selecting ...

12.6 CHAPTER 12. COMBINATIONS AND PERMUTATIONS Combinatorics and Probability EMCDK Combinatorics is quite useful in the computat ...

CHAPTER 12. COMBINATIONS AND PERMUTATIONS 12.6 Now suppose you havethese objects: 1; 2; 3 Here is a list of all permutations of ...

12.7 CHAPTER 12. COMBINATIONS AND PERMUTATIONS QUESTION Show that a collection of n objects has n! permutations. SOLUTION Proof: ...

CHAPTER 12. COMBINATIONS AND PERMUTATIONS 12.7 Whenever n is a positive integer, thenumbers � n k � = n! k!(n−k)! are the binomi ...

12.7 CHAPTER 12. COMBINATIONS AND PERMUTATIONS Probability = 8000000200000 = 401 = 0, 025 Example 5: Factorial QUESTION Show tha ...

CHAPTER 12. COMBINATIONS AND PERMUTATIONS 12.7 Four coins are thrown, and the outcomes recorded. How many different ways are th ...

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