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How many integers form 1 to 500 are divisible by 2, 3, 4, and5?


Suppose there are three people to tested positive in COVID 19. Let P represent positive and N represent negative and Z be the random variables representing the number of infected person that occur. Answer the following


1. What are the different sample space list all


2. What are the values of random variables


3. Creat

Express this gaming system requirement using predicates, quatifiers and logical connectives: "When there are less than 2 gigabytes of available RAM, an error message is displayed"


Find the volume of the solid obtained by rotating the region enclosed by  𝑥=√6sin(𝑦)

 and 𝑥=0

 about the 𝑦-

axis over the interval 0≤𝑦≤𝜋.



Which of the following is an equivalent expression to sin θ − (sin θ)(cos2θ)?


By considering the angles between the vectors, show that a + b and a – b are

perpendicular when (a) = (b)


A ship captain is plotting a course to an island 80 km SW of his current position.

The wind is blowing from the East at 15 km/h. What must the velocity vector of

the ship be in order for it to arrive at the island in 2 hours (hint: think about what

the resultant velocity must be).


A plane with a velocity 400 km/h, 10 degrees, West of South encounters a wind with a

velocity of 40 km/h, from 35 degrees East of South. What is the plane’s resultant

velocity?


If (u) = 11, (v) = 23, and (u-v) = 30.

Find (u+v)


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