RIFT VALLEY TECHNICAL TRAINING
INSTITUTE
CLASS: DIS 13S
SUBJECT: QUANTITATIVE TECHNIQUES
SUBJECT LECTURER: CYNTHIA
Period : JAN-MARCH
2014
Week
1
TOPIC/SUBTOPIC
Course outline and orientation
2
Fundamentals of mathematics and statistics
3
Algebraic equati
RIFT VALLEY TECHNICAL TRAINING
INSTITUTE
CLASS: DCD 13S
SUBJECT: ICT
SUBJECT LECTURER:CYNTHIA
Week
1
Period : SEPT- NOV 2013
TOPIC/SUBTOPIC
Course outline and orientation
2
Introduction to computers
3
Classification of computers
4
Computer system componen
1.True or false. When simple interest is used, the accumulated amount is a
linear function of time.
TRUE the formula for simple interest is I = P*r*t, so the relationship itself says that I
is directly proportional to t and t is of order 1, so the interes
1
True
Suppose bothline is not
a1 x+ b2 y =c 1
a2 x+ b2 y =c 2
> AX=B
Where A=
[ ] [] []
a1 b2
, X= x B= c 1
a2 b2
y
c2
Since lines are not>
a1
a
2 = a1 b2a2 b 1 0
b2
b2
> Det ( A ) 0
> Syemhas unique solution
Further suppose that System has unique solut
1
The slope of a horizontal line is undefined
False
The slope of a horizontal line is 0
Example:
44
0
0
3, 4 , 5, 4 the slope is m
5 3 8
2
Detailstrue or false suppose the slope of a straight line L is 3 / 4 and P isa given point on L
True:
As slope
1
WEEK 2
Week 2 Assignment
LaKinya Torres
Grantham University
2
WEEK 2
1.True: Two Line equations will have a unique solution if and only if they intersect each other at
a particular point ( x, y ). If Lines are parallel, then they'll never intersect and
1
WEEK 5
Week 5 Assignment
LaKinya Torres
Grantham University
2
WEEK 5
1. True, the formula for simple interest is I=P*r*t, so the relationship itself says that I is directly
proportional to T and T is of order 1, so the interest is linearly dependent.
2.
1
WEEK 7
Week 7 Assignment
LaKinya Torres
Grantham University
2
WEEK 7
1. False, E and F are mutually exclusive if E
2. True, there are only two possible outcomes heads or tails. The probability of getting a head is
0.51, so the probability of getting a t
1
WEEK 5
Week 5 Assignment
LaKinya Torres
Grantham University
2
WEEK 5
1.True or false. When simple interest is used, the accumulated amount is linear function of time.
True, the formula for simple interest is I=P*r*t, so the relationship itself says that
1
WEEK 3
Week 3 Assignment
LaKinya Torres
Grantham University
2
WEEK 3
1. TRUE : all the coefficients are nonpositive so if one of the xi becomes positive (so not
equal to 0) the value of the objective function would decrease : so the only possibility to
1
WEEK 7
Week 7 Assignment
LaKinya Torres
Grantham University
2
WEEK 7
1. False, E and F are mutually exclusive if E F. E and G are mutually exclusive so E G. But
we dont necessarily have F G. E F and E G but not F G. Say E is 2,4,6 and F is 1,3,5
then th
What is a fair game? Is the game of roulette as played in American
casinos a fair game? Why?
A Fair game is that game in which one player has no advantage over the other, in
probability we say that a game is fair when the expected value E(x) of an event i
a) Derive an equation of the line passing through the points A(0,5) and
B(4,25).
b) Using the equation found in part a find the percentage of homes with
digital TV services at the beginning of 2001.
a) We find the slope between points (0,5) and (4,25)
slo
Week 4 test review
Question 1
A.
B.
C.
D.
E.
Question 2
A.
B.
C.
D.
E.
Question 3
A.
B.
C.
D.
Question 4
Find the slope of the line that passes through the given pair of points.
(2, 2) and (8, 5)
A.
B.
C.
D.
E.
Question 5
A.
B.
C.
D.
E.
Question 6
A.
B.
C
MIDTERM
Question 1
A.
B.
C.
D.
E.
Question 2
A.
B.
C.
D. infinitely many solutions
Question 3
A. x = 16, y = 0, z = 16, t = 0, u = 80, v = 21, w = 61, P = 180
B. x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96
C. x = 80, y = 16, z = 0, t = 0,
1.
Write the following set in builder notation form
A)
B)
C)
D)
E)
Table for Individual Question Feedback
Points Earned:
4.0/4.0
2.
In a poll conducted among 180 active investors, it was found that 100 use discount brokers,
122 use full-service brokers, a
1.
Let . S=cfw_1,2,3,4,5,6 E= cfw_1,3,5 F= cfw_2,4,6 G= cfw_2,3
Are the events F and G mutually exclusive?
A) yes
B) no
Table for Individual Question Feedback
Points Earned:
5.0/5.0
Correct Answer(s): B
2.
Let .
Are the events F and G complementary?
A) no
1.
Write the following set in builder notation form
A)
B)
C)
D)
E)
Table for Individual Question Feedback
Points Earned:
4.0/4.0
Correct Answer(s): B
2.
List the elements of the given set in roster notation.
A)
B)
C)
D)
Table for Individual Question Feedb
1.
Metro Department Store's annual sales (in millions of dollars) during 5 years were
Annual Sales, y
Year, x
5.8 6.1 7.2 8.3 9
1
2
3
4 5
Plot the annual sales (y) versus the year (x) and draw a straight line L through the points
corresponding to the firs
1.
Find the simple interest on a $400 investment made for 5 years at an interest rate of
7%/year. What is the accumulated amount?
A) The simple interest is $140, the accumulated amount is $540.
B) The simple interest is $115, the accumulated amount is $51
1.
Solve the linear system of equations
A)
Unique solution:
B)
Unique solution:
C)
Infinitely many solutions:
D) No solution
Table for Individual Question Feedback
Points Earned:
0.0/5.0
Correct Answer(s): A
2.
Solve the linear system of equations
A)
Uniq
1.
Consider the linear programming problem.
Sketch the feasible set for the linear programming problem.
A)
B)
C)
D)
E)
Table for Individual Question Feedback
Points Earned:
4.0/4.0
Correct Answer(s): B
2.
Find an equation of the line that passes through t
1.
Check that the given simplex tableau is in final form. Find the solution to the associated
regular linear programming problem.
A)
B)
C)
D)
Table for Individual Question Feedback
Points Earned:
5.0/5.0
Correct Answer(s): C
2.
Find the maximum value of p
1. True
2. False. Simple interest is computed only once a year. Compound interest is
computed more often, like semi-annual, quartly, monthly etc. Interest is earned
on that interest added to the account, but the extra interest actually earned is
rather sm
1. False
Slope = 0
Equations are in the form of y = constant
Example y =2
2. False
If P is (1,1) then Q will have to be (-2,5) which means Q is not 2 units to the right
of P
3. False
Solve the equation for y
Ax+By=C
By=-Ax+C
y=-A/Bx+C/B
4. True
5. True
6.