Search
The raw data has been organised in the frequency table below.
games frequency
6 2
7 5
8 n
9 4
10 4
11 2
12 2
13 2
(a) Write down the value of n.
(b) Calculate the mean number of games played per set.
(c) What percentage of the sets had more than 10 games?
(d) What is the modal number of games?
You have a deck of 52 playing cards
(i) How many different 8 card hands can be dealt?
(ii) What is the probability that a hand of 8 dealt randomly contains (exactly) 2 aces?
(iii) What is the probability that a hand of 7 dealt randomly will have 7 cards of the same suit?
The following table shows the income distribution of 600 families. Find the minimum income
of the riches 30% families. Also the limits of income of middle 50% of families, to the nearest
rupees.
Income Below
75
75-
150
150-
225
225-
300
300-
375
375-
400
400 &
above
No. of
families
69 137 225 46 88 25 10
Ans.: the richest 30 % families earns Rs. 222 and above per week , the middle 50% families
weekly income lies between 120 and 256.
How many different plates are there that involve 1, 2 or 3 letters followed by 1,
2, 3 or 4 digits?
How many 2 digit or 3-digit numbers can be formed using the digits 1, 3, 4, 5, 6,
8 and 9 if no repetition is allowed?
Write the converse, inverse, and contrapositive of the following conditional
propositions. (Hint: If applicable, write each conditional proposition in standard
form first.)
a. Rose may graduate if she has 120 hours of OJT credits.
b. A necessary condition for Bill to buy a computer is that he obtains
P20,000.
c. A sufficient condition for Katrina to take the algorithms course is that
she passes discrete mathematics.
d. The program is readable only if it is well-structured.
(a) Evaluateβ«[
π/(π^2+π)^(1/2)π π.
(b) Use MATLAB to generate some typical integral curves of π(π₯) =
π/(π^2+π)^(1/2)π πover the interval (β5,5).
Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 β 2xy + y2, (1, 5, 16) with maple lab please
For the relation R = {(p,p) ,(q,p),(q,q),(r,r),(r,s),(s,s) ,(s,m) ,(m,m)}
1.Using warshall algorithm find the transitive closure R* of R
2.write matrix representation of R*
3.Check whether the relation of R* is an equivalence relation or a partial order.
A pet store keeps track of the purchases of customers over a fours hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or product for a different kind of pet. He found!
83 purchased a dog product
101 purchased a cat product
22 purchased a fish product
31 purchased a dog and a cat product
8 purchased a dog and a fish product
10 purchased a cat and a fish product
6 purchased a dog, a cat, and a fish product
34 purchased a product for a pet other than a dog, cat, or fish.
Draw a Venn diagram to find that:
(1) How many purchases were for a dog product only?
(ii) How many purchases were for a cat product only?
How many purchases were for a dog or a fish product?
(iv) How many purchases were there in total?
The functions f and g are defined by f(x) =1/(1-3x) and g(x) =logο»Ώ1/3(3x-2)-log3(x) respectively
1. Write down the sets Df ο»Ώ(ehe domain of f) and Dg (the domain of g)
2. Solve the inequality f(x) > 2 for x\is inβ Df
ο»Ώ3. Solve the inequality f(x) β₯ 2 for x\is inβ Dg
Hint: Use the change of base formula
