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What is the difference between an outcome and an event?


find the area enclosed by the curve r^2=4cos theta


An association of city mayor conducted a study to determine the average number of times a family went to buy necesarries in a week.They found out that the mean is 4 times in a week

show that p↔q and (p∧q)∨(¬p∧¬q) are logically equivalent


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?


dy/dx-y= e^x y^2

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


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