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Evaluate: \(\frac{0.42 \div 2.5}{0.5 \times 2.05}\), leaving the answer in the standard form.
8, 18, 10,14, 18, 11, 13, 14, 13, 17, 15, 8, 16, and 13
The following are scores obtained by some students in a test. How many students scored above the mean score?
The following are scores obtained by some students in a test. Find the median score
| 8 | 18 | 10 | 14 | 18 | 11 | 13 |
| 14 | 13 | 17 | 15 | 8 | 16 | 13 |
The following are scores obtained by some students in a test, Find the mode of the distribution
| 8 | 18 | 10 | 14 | 18 | 11 | 13 |
| 14 | 13 | 17 | 15 | 8 | 16 | 13 |
The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?
A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?
In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n
In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of m.
The fourth term of an Arithmetic Progression (A.P) is 37 and the first term is -20. Find the common difference.
Calculate the variance of 2, 4, 7, 8 and 9
In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.
In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Find the value of y.
In the diagram, O is the centre of the circle of radius 18cm. If < zxy = 70\(^o\), calculate the length of arc ZY. [Take \(\pi = \frac{22}{7}\)]
From the top of a vertical cliff 20m high, a boat at sea can be sighted 75m away and on the same horizontal position as the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.
If tan x = \(\frac{3}{4}\), 0 < x < 90\(^o\), evaluate \(\frac{\cos x}{2 sin x}\)
The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?
Find the equation of a straight line passing through the point (1, -5) and having gradient of \(\frac{3}{4}\)
A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?
The interior angles of a polygon are 3x\(^o\), 2x\(^o\), 4x\(^o\), 3x\(^o\) and 6x\(^o\). Find the size of the smallest angle of the polygon.
Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y)