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Show that the square of an even number is an even number using a direct proof.



Why carbon is said to be the backbone of bio molecules


Which is the odd man out



(A) HCL



(B) NH³



(C) NO²



(D) CO

Distilled water is different from deionized water because



(a) distilled water is a product of condensed steam while deionized is filtered laboratory water



(B) distilled water is always pure and sold in pack while deionized water is not package for consumption



(C) distilled water is a condensed steam but deionized water is produce using exchange resin which absorb undesired ions



(D) distilled water is man made while deionized water is both natural and artificial

Derive an equation x(t) for the instantaneous position of the car as a function of time. Identify the

●      value x when t = 0 s

●      asymptote of this function as t → ∞


t(0-28 m/s) (s) t(400m)(s) t (Maxspeed)(s)

2.5 9.75 8.0



Selecting Players How many ways can 4 baseball


players and 3 basketball players be selected from


12 baseball players and 9 basketball players


A researcher reports that the average salary of College Deans is more than Php 63,000. A sample of 35 College Deans has a mean salary of Php 65,700. At a = 0.01, test the claim that the CollegeDeans earn more than Php 63, 000 a month. The standard deviation of the population is Php 5,250.

a researcher reports that the average salary of college deans is more than Php 63,000 a sample of 35 college deans has mean salary of php 65,700




In a certain school, grade 11 students spend an average 14 hours, with a standard duration of 4 hours, in browsing their favorite social networking sites. The average time spent in a week by grade 11 students browsing their favorite social networking sites is 14 hours with a standard deviation of 4 hours. If a random sample of 35 students is selected, find the mean, variance and standard error of the distribution of all sample means that can be derived from the sample.


What is the temperature difference between 17°c maximum_ 3°c minimum?



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