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1. Sandy earned A's on her first six geometry test so she concludes that she will always earn A's on Geometry tests.

1. Sandy earned A's on her first six geometry test so she concludes that she will always earn A's on Geometry tests.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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irections: Complete the problems below. Review the instruction material uhich relates to any questions. Semester - Read carefully the given statement and determine if it is a Deductive or Inductive reasoning. 1. Sandy earned A's on her first six geometry test so she concludes that she will always earn A's on Geometry tests. 2. If 5x = 25, then x =5. 3. The first lipstick I pulled from my bag is red. The second lipstick I pulled from my bag is red. Therefore, all the lipsticks in my bar are red. 4. The first lipstick I pulled from my bag is red. All lipstick in my bag are red. Therefore, the second lipstick I pull from my bag will be red too. 5. My mother is Irish. She has blond hair. Therefore, everyone from Ireland has blond hair. 6. My mother is Irish. Everyone from Ireland has blond hair. Therefore, my mother has blond hair. 7. Most of our snowstorms come from the north. It's starting to snow. This snowstorm must be coming from the north. 8. All of our snowstorms come from the north. It's starting to snow. Therefore, the storm is coming from the north. II - Determine if each conjecture is true. If false, give a counterexample. 9. The quotient of two negative numbers is a positive number. 10. Every prime number is odd. 11. Two supplementary angles are not congruent. 12. The square of an odd integer is odd. TII Solve and organize the methods you are using to prove your answers.
Transcribed Image Text:irections: Complete the problems below. Review the instruction material uhich relates to any questions. Semester - Read carefully the given statement and determine if it is a Deductive or Inductive reasoning. 1. Sandy earned A's on her first six geometry test so she concludes that she will always earn A's on Geometry tests. 2. If 5x = 25, then x =5. 3. The first lipstick I pulled from my bag is red. The second lipstick I pulled from my bag is red. Therefore, all the lipsticks in my bar are red. 4. The first lipstick I pulled from my bag is red. All lipstick in my bag are red. Therefore, the second lipstick I pull from my bag will be red too. 5. My mother is Irish. She has blond hair. Therefore, everyone from Ireland has blond hair. 6. My mother is Irish. Everyone from Ireland has blond hair. Therefore, my mother has blond hair. 7. Most of our snowstorms come from the north. It's starting to snow. This snowstorm must be coming from the north. 8. All of our snowstorms come from the north. It's starting to snow. Therefore, the storm is coming from the north. II - Determine if each conjecture is true. If false, give a counterexample. 9. The quotient of two negative numbers is a positive number. 10. Every prime number is odd. 11. Two supplementary angles are not congruent. 12. The square of an odd integer is odd. TII Solve and organize the methods you are using to prove your answers.
purse: Semester irections: Complete the problems below. Review the instruction materat which relates to any questions. - Solve the use the Polya's Strategy on your owWn. 1. Each triangle in the fiqure below has 3 dots. Study the pattern and find the number of dots for 7 layers of triangles.. 1 layer 3 dots 2 layers 6 dots 3 layers 4 layers 15 dots 10 dots The table below shows numbers placed into groups I, II, III, IV, V and VI. In which groups would the following numbers belong? 2. a) 90 b) 122 c) 172 13 19 25 31 37 II 14 20 26 32 38 III 15 21 27 33 39 IV 16 22 28 34 V 17 23 29 35 VI 18 24 30 36 - Use the given nth term formula to compute the first five terms of the uence. 2. 2 today e Thursday, what day is it 500 ys fxom now? 3. X = (-1)(n²-n+7) 4. x, = 2 9. It it Ss now 10:00 A.M., what time ie it 1,000 hour: from now? 5. x = (-1)1n Use che 3inec's Formuia and caloulate to find the 95* and 800 Eibonacoi 10. -1 6. X, = number. 7.X = 222
Transcribed Image Text:purse: Semester irections: Complete the problems below. Review the instruction materat which relates to any questions. - Solve the use the Polya's Strategy on your owWn. 1. Each triangle in the fiqure below has 3 dots. Study the pattern and find the number of dots for 7 layers of triangles.. 1 layer 3 dots 2 layers 6 dots 3 layers 4 layers 15 dots 10 dots The table below shows numbers placed into groups I, II, III, IV, V and VI. In which groups would the following numbers belong? 2. a) 90 b) 122 c) 172 13 19 25 31 37 II 14 20 26 32 38 III 15 21 27 33 39 IV 16 22 28 34 V 17 23 29 35 VI 18 24 30 36 - Use the given nth term formula to compute the first five terms of the uence. 2. 2 today e Thursday, what day is it 500 ys fxom now? 3. X = (-1)(n²-n+7) 4. x, = 2 9. It it Ss now 10:00 A.M., what time ie it 1,000 hour: from now? 5. x = (-1)1n Use che 3inec's Formuia and caloulate to find the 95* and 800 Eibonacoi 10. -1 6. X, = number. 7.X = 222
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