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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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Use binomial expansion to simplify(Solved)
Use binomial expansion to simplify
Date posted: August 23, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- (a).Complete the table below by filling the blank spaces
(b) By using trapezoidal rule, estimate the area bounded by the curve y = 40 – 3x2,...(Solved)
a).Complete the table below by filling the blank spaces
(b) By using trapezoidal rule, estimate the area bounded by the curve y = 40 – 3x2, line x = 0 and line x = 2 using four strips of equal size.
Date posted: August 23, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Simplify completely the expression(Solved)
Simplify completely the expression
Date posted: August 23, 2019. Answers (1)
- 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. Answers (1)
- Make x the subject of the formula(Solved)
Make x the subject of the formula
Date posted: August 23, 2019. Answers (1)
- Without using mathematical tables or calculation, evaluate:(Solved)
Without using mathematical tables or calculation, evaluate:
Date posted: August 23, 2019. Answers (1)
- Use logarithms to evaluate(Solved)
Use logarithms to evaluate
Date posted: August 23, 2019. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)