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For The Mathematically Inclined

Anil Saigal
04/11/2023

Problem 1

If the lines given by the  equations x-2y=0 and 2x+ky-3 = 0 are parallel. What  is k?

Problem 2

What is the  equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0

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Problems from 03/30/23

Problem 1

If |3-2x| > 9. then

a. -3<x<6
b. -6<x<3
c. x<-3 or x>6
d. x<-6 or x>3

Problem 2

Scientists predict that an active volcano ha a 75% chance of erupting atleast once in the next five years. If the probability that an volcano will erupt is the same for each year, what is the probability thatthe volcano will erupt within the next year?




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