course Mth 151 ???????????assignment #001
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08:00:56 `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 --> A - whole #s - at least one digit even A'- whole #s - at least one digit odd B - 3, 8, 35, 89, 104, 357, 4321 B & A in common: 8, 89, 104, 4321 B & A' in common: 3, 35, 357 confidence assessment: 3
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08:06:51 `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 --> 8 - dark hair 2 - red hair 9 - light hair No, there would have to be more than 17 people because no one has more than one hair color so there has to be 19 people. confidence assessment: 3
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08:08:10 `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 --> 6 - dark hair 10 - blue eyes With only 14 people in the room, there are people int he room with both dark hair and blue eyes. confidence assessment: 3
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08:25:50 `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 --> 100 blocks - 60 are cubical & 40 are cylindrical 30 are red and 20 are red cubical 30 - 20 = 10 red There are 10 red cylindrical because if there are 30 red cubical there are only 10 red left. confidence assessment: 3
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