The cumulative frequency curve above shoes the distribution of the scores of 50 students in an examination. Find the 36th percentile scores
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2009
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?
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2009
In the figure above, TS//XY and XY = TY, <STZ = 34\(^{\circ}\), < TXY = 47\(^{\circ}\). Find the angle marked n.
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2009
What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0
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2009
\(\begin{array}{c|c} \text{Marks} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\ \hline \text{No. of students} & 3 & 4 & 1 & 0 & 4 & 5 & 2 & 1\end{array}\)The table abov…
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2009
The probability of a student passing any examination is \(\frac{2}{3}\). If the student takes three examinations, what is the probability that he will not pass any of them?
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2009
\(\begin{array}{c|c} \text{No. of days} & 1 & 2 & 3 & 4 & 5 & 6\\ \hline \text{No. of students} & 20 & 2x & 60 & 40 & x & 50 \end{array}\)The distribution above shows the n…
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2009
Evaluate \(\int\) sec2\(\theta\) d \(\theta\)
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2009
The distance travelled by a particle from a fixed point is given as s = (t3 - t2 - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point.
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2009
If s = (2 + 3t)(5t - 4), find \(\frac{dy}{dx}\) when t = \(\frac{4}{5}\) sec
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2009
If y = 3 cos 4x, \(\frac{dy}{dx}\) equals
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2009
A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60o, find the width of the river.
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2009
Find the value of sin 45o - cos 30o
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2009
A chord is drawn 5 cm away from the centre of a circle of radius 13 cm. Calculate the length of the chord.
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2009
If the hypotenuse of a right-angled isosceles triangle is 2cm , what is the area of the triangle?
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2009
Find the acute angle between the straight lines y = x and y = \(\sqrt{3x}\)
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2009
If p = \(\begin{pmatrix} x + 3 & x + 2 \\ x + 1 & x - 1 \end{pmatrix}\) evaluate x if |p| = -10
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2009
If Q = \(\begin{pmatrix} 9 & -2 \\ -7 & 4 \end{pmatrix}\), then |Q| is