I. Classify the rcasoning employed in the following arguments as INDUCTIVE (I) or DEDUCTIVE (D). 1. All even numbers are divisible by 2. Twenty-eight is even. Therefore, 28 is divisible by 2. 2. In the sequence 3, 6, 9, 12, 15, the next term is going to be 18. 3. Since all squares are rectangles, and all rectangles have four sides, all squares have four sides. 4. For any right triangle, the Pythagorean Theorem holds. ABC is a right triangle, therefore for ABC the Pythagorean Theorem holds. 5. The population of Iloilo City has increased steadily for the past 20 years. It is logical to predict that the population of Illoilo City will also increase next year. 6. Two figures are said to be congruent if they have the same shape and size or if one has the same shape and size as the mirror image of the other. My figure is the mirror image of my mirror image, therefore my figure and my mirror image are congruent. 7. If x = 4 and if y = 1, then 2x+ y = 9. 8. Based on a survey of 3300 randomly selected registered voters, 56.2% indicate that they will vote for the incumbent officials in the upcoming election. Therefore, approximately 56% of the votes in the upcoming elections will be for the incumbent. 9. Jack is taller than Jill. Jill is taller than Joey. Therefore, Jack is taller than Joey. 10. It usually takes 2-3 days for a delivery to ship from warehouse to your door via most popular shipping services. You ordered on Tuesday morning, so it's safe to assume that your package will arrive on Thursday or Friday.
I. Classify the rcasoning employed in the following arguments as INDUCTIVE (I) or DEDUCTIVE (D). 1. All even numbers are divisible by 2. Twenty-eight is even. Therefore, 28 is divisible by 2. 2. In the sequence 3, 6, 9, 12, 15, the next term is going to be 18. 3. Since all squares are rectangles, and all rectangles have four sides, all squares have four sides. 4. For any right triangle, the Pythagorean Theorem holds. ABC is a right triangle, therefore for ABC the Pythagorean Theorem holds. 5. The population of Iloilo City has increased steadily for the past 20 years. It is logical to predict that the population of Illoilo City will also increase next year. 6. Two figures are said to be congruent if they have the same shape and size or if one has the same shape and size as the mirror image of the other. My figure is the mirror image of my mirror image, therefore my figure and my mirror image are congruent. 7. If x = 4 and if y = 1, then 2x+ y = 9. 8. Based on a survey of 3300 randomly selected registered voters, 56.2% indicate that they will vote for the incumbent officials in the upcoming election. Therefore, approximately 56% of the votes in the upcoming elections will be for the incumbent. 9. Jack is taller than Jill. Jill is taller than Joey. Therefore, Jack is taller than Joey. 10. It usually takes 2-3 days for a delivery to ship from warehouse to your door via most popular shipping services. You ordered on Tuesday morning, so it's safe to assume that your package will arrive on Thursday or Friday.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 64RE
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