course Mth 151 `q001. Note that there are 4 questions in this assignment. `q001. Let A stand for the collection of all whole numbers which have at least one even digit (e.g., 237, 864, 6, 3972 are in the collection, while 397, 135, 1, 9937 are not). Let A ' stand for the collection of all whole numbers which are not in the collection A. Let B stand for the collection { 3, 8, 35, 89, 104, 357, 4321 }. What numbers do B and A have in common? What numbers do B and A' have in common?
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RESPONSE --> The numbers B and A have in common are: 8, 89, 104, 4321. The numbers B and A' have in common are: 3, 35, 357. confidence assessment: 2
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14:31:02 `q002. I have in a room 8 people with dark hair brown, 2 people with bright red hair, and 9 people with light brown or blonde hair. Nobody has more than one hair color. Is it possible that there are exactly 17 people in the room?
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RESPONSE --> No, it is not possible because there are 19 people in this room. 8 people have dark brown hair, 2 people with bright red hair, and then 9 people with either light brown or blonde hair. Since nobody has more than one hair color, there has to be 19 people in the room. confidence assessment: 2
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14:32:46 `q003. I have in a room 6 people with dark hair and 10 people with blue eyes. There are only 14 people in the room. But 10 + 6 = 16, which is more than 14. How can this be?
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RESPONSE --> This can be possible by assuming that some of the people with dark hair have blue eyes. 2 people with dark hair having blue eyes satisfies the requirement that there are 14 people in the room because they meet both criteria. confidence assessment: 3
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14:35:05 `q004. In a set of 100 child's blocks 60 blocks are cubical and 40 blocks are cylindrical. 30 of the blocks are red and 20 of the red blocks are cubical. How many of the cylindrical blocks are red?
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RESPONSE --> There are 10 cylindrical blocks that are red. Out of the 100 blocks, 30 of them are red. Cubical red blocks make up 20 of the total number of red blocks, therefore only 10 of the cylindrical blocks are red. confidence assessment: 2
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assignment #002 002. Representing Sets Liberal Arts Mathematics I 01-26-2009
You then start the process over with the next question, clicking on the Next Question/Solution button at top left, etc. &#