Find the range of values of x for which 3x - 7 \(\leq\) 0 and x + 5 > 0
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1997
The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x
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1997
In an examination, the result of a certain school is as shown in the histogram above. How many candidates did the school present?
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1997
The pie chart shows the income of a civil servant in a month. If his monthly income is N600, find his monthly basic salary
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1997
In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150\(^{\circ}\). If the angle XYZ = \(\theta\), calculate the value of sin\(\theta\)
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1997
Find the volume of the prism.
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1997
The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY.
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1997
A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
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1997
Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
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1997
A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number
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1997
Find the difference between the range and the variance of the following set of numbers 4, 9, 6, 3, 2, 8, 10, 5, 6, 7 where \(\sum d^2\) = 60
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1997
\(\begin{array}{c|c} \text{Age} & 20 & 25 & 30 & 35 & 40 & 45 \\ \hline \text{Number of people} & 3 & 5 & 1 & 1 & 2 & 3\end{array}\)Find the median age of the frequency dis…
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1997
If y = x(x4 + x + 1), evaluate ∫\(^{1}_{0}\) ydx
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1997
Integrate \(\frac{1}{x}\) + cos x with respect to x
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1997
\(\frac{d}{dx}\) cos(3x2 - 2x) is equal to
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1997
Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x
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1997
The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?
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1997
Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2
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1997
A point P moves so that is equidistant from point L and M. If LM is 6cm, find the distance of P from LM when P is 10cm from L
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1997
The angle between the positive horizontal axis and a given line is 135o. Find the equation of the line if it passes through the point (2,3)