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Write the probability distribution of the random variable Q defined by the outcomes of rolling a fair die.

Formulate the symbolic expression in English Sentence using p:Today is Monday. q:It is raining. r:It is hot.

4. ¬→ (q ˅ r)

5. ¬→ r

6. q → ¬r

A gold ball is given an initial speed of 20. meters per second and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance?[Neglect friction]


The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the mean of the probability distribution.

Design a class art that contain the details of artist, country and class info contain the details of year and art-tyoe(fancy, historic or modern) . Use a function for displaying the details by reading data from class art and info. The function used for displaying is not a member of any class.

Activity in Limit Theorems



Directions: Assume the following.



lim f(x) = 3/4;


x→c



lim g(x) = 12;


x→c



lim h(x) = -3;


x→c



Compute the following limits.



1. lim (4 • f(x))


x→c




2. lim (g(x) - h (x))


x→c




3. lim √12 • f(x)


x→c




4. lim (g(x) + h(x)) / f(x)


x→c




5. lim (f(x) + h(x))


x→c




an object travels in a circular orbit. If the speed of the object is halved, it's centripetal acceleration will be...


  1. The Global Insight (GI) forecasting firm predicted that the Canadian economy would bounce back by a stronger-than-expected 1.0 percent on an annualized basis in the third quarter of 2012 and with a further 0.1 percent in the fourth quarter of 2012. The firm also expected moderate growth overall in 2013.

(10 marks)


a.      What evidence did GI present to support the view that Canada had entered a recovery?

(2 marks)

b.     Use a short-run Phillips curve to explain why the inflation rate may have increased over the course of 2012.

(4 marks)

c.      Under what circumstances might the inflation rate not have increased during 2012?

(4 

The footballer kicked the ball and it was caught by the opposing goalkeeper, 4 metres above the ground. The ball was traveling at 10 m/s^2.Calculate the kinetic energy of the ball just before it was caught.


  1. Determine whether each of the following statements is a proposition or not. If it is, give its truth value.p: Mindanao is an island in the Philippines. 
  • q: Find a number which divides your age. 
  • r: My seatmate will get a perfect score in the Logic exam.
  • s: Welcome to the Philippines!




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