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Find the inequality which represents the shaded portion in the diagram
A2x - y - 2 \(\geq\) 0
B2x - y - 2 \(\leq\) 0
C2x - y - 2 < 0
D2x - y - 2 > 0
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Question 1662
jamb1994
The equation of the graph is
Ay = (x - 3)3
By = (x + 3)3
Cy = x3 - 27
Dy = -x3 + 27
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Question 1663
jamb1994
In a survey, it was observed that 20 students read newspapers and 35 read novels. If 40 of the students read either newspapers or novels, what is the probability of the students who read both newspapers and novels?
A\(\frac{1}{2}\)
B\(\frac{2}{3}\)
C\(\frac{3}{8}\)
D\(\frac{3}{11}\)
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Question 1664
jamb1994
\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & 2 & 1 & 2 & 1 & 2\end{array}\)
Find the variance of the frequency distribution above
A\(\frac{3}{2}\)
B\(\frac{9}{4}\)
C\(\frac{5}{2}\)
D3
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Question 1665
jamb1994
Class interval
1 - 5
6 - 10
11 - 15
16 - 20
21 - 25
Frequency
6
15
20
7
2
Estimate the median of the frequency distribution above
A10\(\frac{1}{2}\)
B11\(\frac{1}{2}\)
C12
D13
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Question 1666
jamb1994
Find the mean deviation of the set of numbers 4, 5, 9
Azero
B2
C5
D6
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Question 1667
jamb1994
\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & y + 2 & y - 1 & 2y - 3 & y + 4 & 3y - 4\end{array}\)
This table shows the frequency distribution of a data if the mean is \(\frac{43}{14}\), find y
A1
B2
C3
D4
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Question 1668
jamb1994
Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)
A3\(\frac{2}{3}\)
B4
C4\(\frac{1}{3}\)
D4\(\frac{2}{3}\)
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Question 1669
jamb1994
Find the point (x, y) on the Euclidean plane where the curve y = 2x2 - 2x + 3 has 2 as gradient
A(1, 3)
B(2, 7)
C(0, 3)
D(3, 15)
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Question 1670
jamb1994
If y = 3t3 + 2t2 - 7t + 3, find \(\frac{dy}{dt}\) at t = -1
A-1
B1
C-2
D2
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Question 1671
jamb1994
What is the value of sin(-690)?
A\(\frac{\sqrt{3}}{2}\)
B-\(\frac{\sqrt{3}}{2}\)
C\(\frac{-1}{2}\)
D\(\frac{1}{2}\)
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Question 1672
jamb1994
The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?
A\(\frac{5√3m}{3}\)
B5√3m
C10√3m
D\(\frac{10√3m}{3}\)
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Question 1673
jamb1994
If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q
AP = 2, q = 4
Bp = 3, q = 1
Cp = 5, q = 3
Dp = 6, q = 2
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Question 1674
jamb1994
What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?
Athe perpendicular bisector of XY
Ba right-angled triangle
Ca circle
Da semi circle
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Question 1675
jamb1994
Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45o
A2\(\pi\)
B8 + 2\(\pi\)
C16 + 2\(\pi\)
D16 + 16\(\pi\)
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Question 1676
jamb1994
An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is
A11 520cm3
B36 000cm3
C38 200cm3
D47 520cm3
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Question 1677
jamb1994
If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z - 2y - x)o find the fourth angle in terms of x, y and z
A(360 - x- y - z)o
B(360 + x + y - z)o
C(180 - x + y + z)o
D(180 - x + y + z)o
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Question 1678
jamb1994
Age in years
10
11
12
Number of pupils
6
27
7
The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
A\(\frac{27}{40}\)
B\(\frac{17}{20}\)
C\(\frac{33}{40}\)
D\(\frac{3}{20}\)
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Question 1679
jamb1994
The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \\ 4 & 5 & 6\\ 2 & 0 & 1 \end{pmatrix}\) is
A-67
B-57
C-1
D3
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Question 1680
jamb1994
Solve for x and y \(\begin{pmatrix} 1 & 1 \\ 3 & y \end{pmatrix}\)\(\begin{pmatrix} x \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 1\end{pmatrix}\)