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If 50 of them are taken as samples, what is the probability that their mean height is less than 150cm?



4. A solution of HF contains 12 grams in 500.0mL. (5 marks)

a. Find [H+]. Make sure to show the ionization equation (with water)

. b. Calculate the pH of the above solution.




5. Predict the products of the following neutralization reactions (be sure to balance the equation and include states as well). (2 marks) a. HCl(aq) + Mg(OH)2(s)  b. H3PO4(aq) + KOH(s) 


What is the probability of getting a perfect square from the numbers 1 to 100?




A.


1/4



B.


1/10



C.


1/25



D.


1/5



E.


None of the above



The probability that two events, A and B, will both occur is represented by the following multiplication rule:




A.


P(A ∩ B) = P(A│B) × P(B)



B.


P (A ∩ B) = P(A) × P(B)



C.


P(A ∩ B) = P(B│A) × P(B)



D.


Both B and C.



E.


None of the above




Suppose a population consists of the ages of 5 students, as follows: 16, 17, 18, 19 and 20. Construct a sampling distribution of the sample mean using random variable of size n=2. Prepare a probability distribution of the sample means.

Suppose a population consists of the ages of 5 students, as follows: 16, 17, 18, 19 and 20. Construct a sampling distribution of the sample mean using random variable of size n=2. Prepare a probability distribution of the sample means.


A 23 kg object is pushed up an inclined plane with angle of inclination of 14 degrees. The coefficient of kinetic friction between the object and the incline is 0.30. Determine the acceleration of the object if it is pushed by a 250 N force that is acting parallel to the incline.


The weight (in kg) of grade 11 students in section Z follows a normal distribution with a mean 48 and a standard deviation of . Find the probability that students choosen at random has a weight less than 45

A 23 kg object is pushed up an inclined plane with angle of inclination of 14

0.The coefficient of kinetic friction between the object and the incline is 0.30. Determine the acceleration of the object if it is pushed by a 250 N force that is acting parallel to the incline.


Determine Which of these function are bijection from the set of real number to itself



1- f(x)=-3x+4



2- f(x)=-3x2+7



3- f(x)=(x+1)/(x+2)

The decomposition of N2O5 is an important process in tropospheric chemistry. The half-life

for the first order decomposition of this compound is 2.05X104 s. How long will it take for a

sample of N2O5 to decay to 60% of its initial value?


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