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prove or disprove that the complement of integers z in R is an open set


. An employee’s weekly income in a certain online job follows a normal distribution with a mean of PHP1,000 and a standard deviation of PHP100. What is the z value for the income of:

Draw the composite table for the operation * defined by x*y = x,



for every x , y ϵ S = {a, b, c, d}

Don, a canteen owner claims that the average meal cost of his usual customer is 190 pesos. In order to test his claim , don took a random sample of 25 customers and found out that the meal cost is 210 with a standard deviation of 30 pesos. Test the hypothesis at 0.01 level of significance

Calculate the pressure in a 212 Liter tank containing 23.3 kg of argon gas at 25°C? ( atomic weight Ar - 40 )


Calculate the pressure in a 212 Liter tank containing 23.3 kg of argon gas at 25°C? ( atomic weight Ar - 40 )


Calculate distances that one vehicle of the organisation travels per day,per week and per month.if you do not work directly with vehicles, calculate the distance you travel to work and back. Show calculations and state the distance in the correct s1 unit.



A girl throws a ball vertically upward at 10m/s from a roof of a building 20m high.


(a) How long will it take the ball to reach the ground?


(b) What will it's velocity be just before it strikes the ground?

A concave mirror is positioned at a distance 5cm from an object. Give a linear magnification of F.If the image is upright calculate the radius curvature of the mirror


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