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About how many % of scored distribution is between z=0 and z=1?
1. Consider a buffer solution containing an acid with a pKa of 2.3 and an acid concentration that is one-fourth the concentration of the conjugate base. What is the pH of the solution?
2. Calculate the pH of a buffer containing 0.1 M sodium acetate and 0.2 M acetic acid (pKa= 4.76).
3. The pH of the given solution of lactic acid and lactate is 4.30. Calculate the pKa of lactic acid, when the concentration of lactic acid and lactate are 0.020 M and 0.073 M respectively.
Find P(-1.2 <2<-0.2)
a) A three digit number is to be formed using the digits 1, 2, 3, 4, 5, 6 and no repetition is
allowed.
i) How many numbers can be formed if the leading digit is 4?
ii) How many numbers can be formed if the number is more than 250?
iii) How many odd numbers can be formed between 200 and 400?
(8 marks)
b) Consider a bookshelf contains 28 books in different genre. 14 books are in education, 9
books in business and 5 books in motivation. A student would like to take 15 books. Find the number of ways if:
I) there is no restriction
ii) the choice must consist of 8 books in education, 5 books in business and 2 books in
motivation genre.
iii) The choice must consist of at least 9 books in education and exactly 5 books in
motivation genre.
(7 marks)
Show your solution using the critical value method.
a previous study on the effect of blended learning module on senior high school student's achievement revealed that mean score pi is 85 with standard deviation of 3. juliana, a senior high school statistic teacher, surveyed a class of 30 students test the hypothesis at a 0.10 level of significance
This question combines the concepts platonic solids, prisms, pyramids and polyhedra.
a) Are any Platonic solids pyramids? If so, which one(s)? Name the pyramid and explain why it is a pyramid (3).
b) Are any Platonic solids prisms? If so, which one(s)? Name the prism and explain why it is a prism (3).
c) All Platonic solids are polyhedral. Is this statement true? Explain why you say so (2).
d) Name a non-polyhedron and say why it cannot be a platonic solid (2).
it requires 2 sticks of butter to make a batch of 20 cookies. How much butter will it take to make 150 cookies.
Multiply 62 by 35, firstly by breaking down 35 in its terms (30 + 5) and secondly by breaking down 35 in its factors (5 x 7). Show all your steps.
(a) 62 x (30 + 5)
(b) 62 x (5 x 7)
Which base-10 (Dienes) blocks represent the sum of 1034 and 675?
Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes.
My calculation (3)
Explanation of my steps (3)
#339914 on Dec 2023