1. Which is the contrapositive of the statements, P: The temperature drops below freezing point. Q: The rain will turn to snow. a.If the rain will turn to snow, then the temperature drops below freezing point b.If the temperature does not drop below freezing point, then the rain will not turn to snow. c.If the rain will not turn to snow, then the temperature does not drop below freezing point.   2. Which is the negation of the statement: "All mathematicians are ogres."   a.There is at least one mathematician who is not ogres. b.There is at least one mathematician who is an ogres. c.There are more than one Mathematician that is an ogre.   3. Deanna, Annie, Clayton, Billy, and Elise are all standing in line for the roller coaster. Deanna is either before Annie or after Elise. The first two spots are filled by boys. Elise is at the end of the line. If Annie is in front of Elise, then Billy is behind Clayton Who is behind Billy?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Which is the contrapositive of the statements,

P: The temperature drops below freezing point.
Q: The rain will turn to snow.

a.If the rain will turn to snow, then the temperature drops below freezing point
b.If the temperature does not drop below freezing point, then the rain will not turn to snow.
c.If the rain will not turn to snow, then the temperature does not drop below freezing point.
 
2. Which is the negation of the statement:
"All mathematicians are ogres."
 
a.There is at least one mathematician who is not ogres.
b.There is at least one mathematician who is an ogres.
c.There are more than one Mathematician that is an ogre.
 
3. Deanna, Annie, Clayton, Billy, and Elise are all standing in line for the roller coaster. Deanna is either before Annie or after Elise. The first two spots are filled by boys. Elise is at the end of the line. If Annie is in front of Elise, then Billy is behind Clayton Who is behind Billy?
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