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The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
The sum of the squares...
(Solved)
The marks obtained by 10 students in a maths test were
25, 24, 22, 23, x, 26, 21, 23, 22, and 27
The sum of the squares of the marks is 5154.
Calculate the
(i) Value of x
(ii) Standard deviation
(b) If each mark is increased by 3, write down the
(i) New mean
(ii) New standard deviation
Date posted:
August 23, 2019
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Answers (1)
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Calculate the equation of the normal to the curve y = 3x2- 4x + 5 at the point (1,4)
(Solved)
Calculate the equation of the normal to the curve y = 3x2- 4x + 5 at the point (1,4)
Date posted:
August 23, 2019
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Answers (1)
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A trader mixes grade A coffee costing sh 600 per kg, with grade B coffee costing sh. 280 per kg in the ratio 3 :...
(Solved)
A trader mixes grade A coffee costing sh 600 per kg, with grade B coffee costing sh. 280 per kg in the ratio 3 : 5.Find the price at which he must sell 1 kg of the mixture to make a profit of 20 %
Date posted:
August 23, 2019
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Answers (1)
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Use binomial expansion to simplify
(Solved)
Use binomial expansion to simplify
Date posted:
August 23, 2019
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Answers (1)
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Given the expression below.Find the product of the possible values of x.
(Solved)
Given the expression below.Find the product of the possible values of x.
Date posted:
August 23, 2019
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Answers (1)
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Two trains 246 metres and 304 metres long are traveling towards one another at 114km/ hr and 66km / hr respectively. How long do the...
(Solved)
Two trains 246 metres and 304 metres long are traveling towards one another at 114km/ hr and 66km / hr respectively. How long do the trains take to pass one another?
Date posted:
August 23, 2019
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Answers (1)
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The position vectors for points A and B are 2i + 5j + 3k and 4i – 7j + 3k respectively. Express vectors AB in...
(Solved)
The position vectors for points A and B are 2i + 5j + 3k and 4i – 7j + 3k respectively. Express vectors AB in terms of unit vectors i, j and k. Hence find the length of AB leaving your answer in simplified surd form.
Date posted:
August 23, 2019
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Answers (1)
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A quantity P is partly constant and partly varies inversely as square of t. P = 6 when t = 6 and p = 18...
(Solved)
A quantity P is partly constant and partly varies inversely as square of t. P = 6 when t = 6 and p = 18 when t = 3. Find t when p = 11
Date posted:
August 23, 2019
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Answers (1)
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Determine the quartile deviation of the data
18,15,21,19,17,22,21
(Solved)
Determine the quartile deviation of the data
18,15,21,19,17,22,21
Date posted:
August 23, 2019
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Answers (1)
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In calculating the volume of a cone a student had an error of 0.2 % in pi , 1.2 % in the height and 0.4...
(Solved)
In calculating the volume of a cone a student had an error of 0.2 % in pi , 1.2 % in the height and 0.4 % in the radius, calculate the percentage error involved in calculating the volume.
Date posted:
August 23, 2019
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Answers (1)
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Given A, B and C are matrices as shown below.Determine matrix D given by D = AC – B and hence its inverse
(Solved)
Given A, B and C are matrices as shown below
Determine matrix D given by D = AC – B and hence its inverse
Date posted:
August 23, 2019
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Answers (1)
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Simplify completely the expression
(Solved)
Simplify completely the expression
Date posted:
August 23, 2019
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Answers (1)
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In the figure below, O is the centre of the circle. Chord AB and CD intersect at X. CX = 8 cm, XD = 5...
(Solved)
In the figure below, O is the centre of the circle. Chord AB and CD intersect at X. CX = 8 cm, XD = 5 cm and XB = 4cm
Calculate the length of AX, hence find the radius of the circle.
Date posted:
August 23, 2019
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Answers (1)
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Make x the subject of the formula
(Solved)
Make x the subject of the formula
Date posted:
August 23, 2019
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Answers (1)
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Without using mathematical tables or calculation, evaluate:
(Solved)
Without using mathematical tables or calculation, evaluate:
Date posted:
August 23, 2019
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Answers (1)
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Use logarithms to evaluate
(Solved)
Use logarithms to evaluate
Date posted:
August 23, 2019
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Answers (1)
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Given that sin (x + 30) = Cos 3x, find the value of tan (x-45) correct to 4 significant figures.
(Solved)
Given that sin (x + 30) = Cos 3x, find the value of tan (x-45) correct to 4 significant figures.
Date posted:
August 23, 2019
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Answers (1)
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Water is drawn to fill an empty tank whose capacity is 1200litres using two types of buckets. It requires at least 30 type A buckets...
(Solved)
Water is drawn to fill an empty tank whose capacity is 1200litres using two types of buckets. It requires at least 30 type A buckets and 50 type B buckets to fill the tank. Also, two type A buckets are required to fill at most three type B buckets. Each type B bucket has a capacity of not more than 20litres.
a) Taking x litres and y litres to represent the capacity of each type A bucket and each type B bucket respectively; write down 3 inequalities to represent the above information.
b) Use graphical method to determine the capacity of each type of bucket.
Date posted:
August 23, 2019
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Answers (1)
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The figure below represent a kite ABCD, AB = AD = 15cm. The diagonals BD and AC intersect atO. AC = 30cm and AD =...
(Solved)
The figure below represent a kite ABCD, AB = AD = 15cm. The diagonals BD and AC intersect at O. AC = 30cm and AD = 12cm.
Find the area of the kite
Date posted:
August 23, 2019
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Answers (1)
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The velocity V metres per second of a particle at time, t seconds is given by the equation below;
V = 2t2 – 4t + 15
b)...
(Solved)
The velocity V metres per second of a particle at time, t seconds is given by the equation below;
V = 2t2 – 4t + 15
a) Complete the table below for values of V and t
b) On the grid provided, draw the graph of V against t.
c) i) Using the mid-ordinate rule with seven ordinates estimate the distance covered by the particle between t = 1 sec and t = 8sec.
ii) Determine the exact distance covered by the particle between t = 1 sec and t = 8 sec
iii) Find the percentage error in the distance covered by the particle when the mid-ordinate rule is used.
Date posted:
August 23, 2019
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Answers (1)