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Show that ¬(¬p) and p are logically equivalent.


Choose the best answer: ANTI SYMMETRIC, TRANSITIVE RELATION, SYMMETRIC RELATION, REFLEXIVE RELATION



1. {(3,5)(5,3) (2,4)(4,5)}



2. {(3,1)(1,3)}



3. {(3,1)(2,3)(5,6)(6,5)}



4. {(1,3)(5,3)(7,5)}



5. {(8,9)(9,7)(8,7)}



6. {(4,2)(2,4)}



7. {(1,5)(2,5)(3,5)}



8. {(5,5)(5,6)(6,5)(6,6)(6,7)(7,6) (7,7)}



9. {(6,5)(5,4)(6,4)}



10. {(7,6)(6,5)(7,5)}



11. {(3,1)(1,3)}



12. {(4,3)(3,5)(4,5)}



13. {(6,6)(6,5)(5,5)(5,4)(4,4)}



14. {(6,5)(7,6)(4,5)(5,4)}



15. {(3,3)(4,4)(4,5)(5,4)(5,5)}


A recent study showed that the modern working person experiences an average of 2.1 hours per day of distractions (phone calls, e-mails, impromptu visits, etc.). A random sample of 50 workers for a large corporation found that these workers were distracted an average of 1.8 hours per day and the population standard deviation was 20 minutes. Estimate the true mean population distraction time with 90% confidence, and compare your answer to the results of the study.


A survey of 100 college students revealed the following information about their enrolment in Mathematics, Political Science, and Sociology courses. Twenty-six take Mathematics; 65 take Political Science; 65 take Sociology; 14 take Mathematics and Political Science; 13 take Mathematics and Sociology; 40 take Political Science and Sociology; 8 take Mathematics, Political Science and Sociology. How many students are taking both Mathematics and Sociology but not Political Science?


We want to design an airport runway with the following specifications. The lowest acceleration of a plane should be  




4m/s2




and its take-off speed is 75 m/s. How long would the runway be to allow the planes to accelerate through it?





The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder. (Use p = 22/7


The length, breadth and height of a room are 5 m, 4 m, and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of RM 7.50 per m2.


List all the possible samples and the corresponding mean

2X1+2X3-x3+x5=6,-X1-x2+2X3-3X4+X5=0,X3+X4+X5=0,X3+X5+X5=0 SOLVE IT BY USING GUASS JORDON METHOD

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