Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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is the statements true or false?
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- The median yearly salary paid to the 24 players on a soccer team is $24,000 less than the median yearly salary paid to the 12 players on a basketball team. Based on this information, which of the following statements must be true? a The highest-paid soccer player earns more than the lowest-paid basketball player. All 12 players on the basketball team earn more than each player on the soccer team. At least one of the basketball players ears exactly $24,000 more than one of the soccer players. The 6 highest-paid basketball players each earn more than each of the 12 lowest-paid soccer players.arrow_forwardAll of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salespersonarrow_forwardWhat is the converse of the statement: "If the Eagles win the Super Bowl then I'm the president"? If I'm the president then the Eagles win the Super Bowl. O If I'm not the president then the Eagles don't win the Super Bowl. If the Eagles don't win the Super Bowl then I'm not the president.arrow_forward
- Suppose that the given statements are true. Find the other true statements. (a) Given: If Jessica likes the milk shake, then the play is a success. Jessica likes the milk shake. Which statement must also be true? - The play is not a success. - Jessica does not like the milk shake. - The play is a success. (b) Given: If Isabel prefers black to red, then I liked the poem. If I liked the poem, then the passports are missing. Which statement must also be true? - If the passports are missing, then Isabel prefers black to red. - If Isabel prefers black to red, then the passports are missing. - If the passports are missing, then I liked the poem. (c) Given: If Geometry is Raina's favorite subject, then the dress is on sale. Which statement must also be true? - If Geometry is not Raina's favorite subject, then the dress is not on sale. - If the dress is on sale, then Geometry is Raina's favorite subject. - If the dress is not on sale, then Geometry is not…arrow_forwardSuppose that the given statements are true. Find the other true statements. (a) Given: If the window is above the door, then Austin's cousin is a girl. Which statement must also be true? - If Austin's cousin is a girl, then the window is above the door. - If Austin's cousin is not a girl, then the window is not above the door. - If the window is not above the door, then Austin's cousin is not a girl. (b) Given: If the bike is fast, then Rachel sleeps on the floor. The bike is fast. Which statement must also be true? - The bike is not fast. - Rachel sleeps on the floor. - Rachel does not sleep on the floor. (c) Given: If David knows how to dance, then the tires are old. If the tires are old, then my favorite movie is being shown. Which statement must also be true? - If my favorite movie is being shown, then the tires are old. - If David knows how to dance, then my favorite movie is being shown. - If my favorite movie is being shown, then David knows how to…arrow_forwardIs the assertion "This statement is false" a proposition?arrow_forward
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