- Two fair dice are tossed once. The event A and B are defined as follows:
A: the score on the two dices are the same
B: at...(Solved)
Two fair dice are tossed once. The event A and B are defined as follows:
A: the score on the two dices are the same
B: at least one die shows a 4.
(a) Draw a probability space representing the tossing.
(b) Calculate:
(i) The probability of even A
(ii) The probability of even B
(iii) The probability of even A and B
(c) If the two dice are tossed three time
(i) Draw a tree diagram showing the event A happening for the three tosses.
(ii) Calculate the probability that A occurs:
(a) Exactly once
(b) At least once
(c) At most once
Date posted: May 8, 2019. Answers (1)
- A particle moving with acceleration a = (10 –t) m/s2. When t = 1 velocity V = 2 m/s and when t = 0 displacement...(Solved)
A particle moving with acceleration a = (10 –t) m/s2. When t = 1 velocity V = 2 m/s and when t = 0 displacement S =
OM.
(a) Express displacement and velocity in terms of t.
(b) Calculate the velocity when t = 35
(c) What is the displacement when t = 5
(d) Calculate maximum velocity.
Date posted: May 8, 2019. Answers (1)
- A mobile dealer sells phones of two types: Nokia and Motorola. The price of one nokia and one Motorola phone is Ksh
2000 and Ksh 16000...(Solved)
A mobile dealer sells phones of two types: Nokia and Motorola. The price of one nokia and one Motorola phone is Ksh
2000 and Ksh 16000 respectively. The dealers wishes to have al least fifty mobile phones. The number of Nokia
phones should be at least the same as those of Motorola phones. He has Ksh 120,000 to spend on phones. If he
purchases x Nokia phones and y Motorola phones;
(a) Write down all the inequalities to represent the above information.
(b) Represent the inequalities in part (a) above on the grid provided.
(c) The profit on a nokia phone is Ksh 200 and that on a Motorola phone is Ksh 300. Find the number of phones of
each type he should stock so as to maximize profit.
Date posted: May 8, 2019. Answers (1)
- A right pyramid has a rectangular base of 12 cm by 16cm. its slanting lengths are 26 cm. Determine:(Solved)
A right pyramid has a rectangular base of 12 cm by 16cm. its slanting lengths are 26 cm. Determine:
(a) The length of AC
(b) The angle AV makes with the base ABCD.
Date posted: May 8, 2019. Answers (1)
- Find the coordinates of the image of a point (5, -3) when its rotated through 1800 about (3,1).(Solved)
Find the coordinates of the image of a point (5, -3) when its rotated through 1800 about (3,1).
Date posted: May 8, 2019. Answers (1)
- A chord of AB of length 13cm subtends an angle of 670 at the circumference of a circle centre O. find the radius of the
circle.(Solved)
A chord of AB of length 13cm subtends an angle of 670 at the circumference of a circle centre O. find the radius of the
circle.
Date posted: May 8, 2019. Answers (1)
- John buys and sells rive in packets. He mixes 30 pockets of rive A costing sh 400 per packet with 50 packets of another
kind of...(Solved)
John buys and sells rive in packets. He mixes 30 pockets of rive A costing sh 400 per packet with 50 packets of another
kind of rive B costing sh 350 per packet. If he sells the mixture at a gain of 20%, at what price does he sell a pocket?
Date posted: May 8, 2019. Answers (1)
- A bus and a matatu left Voi from Mombasa, 240 km away at 8.00 am. They travelled at 90 km/h and 120 km/h
respectively. After 20...(Solved)
A bus and a matatu left Voi from Mombasa, 240 km away at 8.00 am. They travelled at 90 km/h and 120 km/h
respectively. After 20 minutes the matatu had a puncture which took 30 minutes to mend. It then continued with the
journey.
(a) How far from Voi did the catch up with the bus.
(b) At what time did the matatu catch up with the bus?
(c) At what time did the bud reach Mombasa?
Date posted: May 8, 2019. Answers (1)
- A car whose initial value is Ksh 600,000 depreciates at a rate of 12% p.a. Determine:(Solved)
A car whose initial value is Ksh 600,000 depreciates at a rate of 12% p.a. Determine:
(a) Its value after 5 years.
(b) Its value of depreciation after 5 years.
(c) The number of year it will take for the value of the car to be Ksh 300,000
Date posted: May 8, 2019. Answers (1)
- Two men each working for 8 hours a day can cultivate an acre of land in 4 days. How long would 6 men, each working
4...(Solved)
Two men each working for 8 hours a day can cultivate an acre of land in 4 days. How long would 6 men, each working
4 hours a day take to cultivate 4 acres?
Date posted: May 8, 2019. Answers (1)
- Mr. Onyango’s piece of land is in a form of triangle whose dimensions are 1200M, 1800M and 1500M respectively.
Find the area of this land in...(Solved)
Mr. Onyango’s piece of land is in a form of triangle whose dimensions are 1200M, 1800M and 1500M respectively.
Find the area of this land in ha. (Give your answer to the nearest whole number).
Date posted: May 8, 2019. Answers (1)
- An airplane leaves point A (600S, 100W) and travels due East for a distance of 960 nautical miles to point B. determine the position of...(Solved)
An airplane leaves point A (600S, 100W) and travels due East for a distance of 960 nautical miles to point B. determine the position of B and the time difference between points A and B.
Date posted: May 8, 2019. Answers (1)
- Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.(Solved)
Find the area of a segment of a circle whose arc subtends an angle of 22.50 on the circumference of a circle, radius
10cm.
Date posted: May 8, 2019. Answers (1)
- In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.(Solved)
In a regular polygon, the exterior angle is 1/3 of its supplement. Find the number of sides of this polygon.
Date posted: May 8, 2019. Answers (1)
- A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten...(Solved)
A salesman earns 3% commission for selling a chair and 4% commission for selling a table. A chair fetches K£ 75. One
time, he sold ten more chairs than tables and earned seven thousand, two hundred Kenya shillings as commission.
Find the number of tables and chairs sold.
Date posted: May 8, 2019. Answers (1)
- A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of...(Solved)
A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4 g/cm3. Calculate the
length of the plate in centimeter.
Date posted: May 8, 2019. Answers (1)
- A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost...(Solved)
A type of paper is 40cm long, 32 cm wide and 0.8 mm thick. The paper costs sh 10 per m2. Find the total cost of a pile
of such paper of height 4.8m.
Date posted: May 8, 2019. Answers (1)
- Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted...(Solved)
Mr. Kamau son and daughter needed clothes. The son clothes were costing Ksh 324 while the daughter clothes were costing Ksh 220. Mr Kamau wanted to give them equal amounts of money. Calculate the least amount of money he would spend on the two and how many clothes each will buy.
Date posted: May 8, 2019. Answers (1)
- The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered...(Solved)
The velocity, Vm/s of a moving particle after t seconds is given by V = 2t3 + t3 – 1. Find the exact distance covered by the particle in the interval 1 ≤ t ≤ 3.
Date posted: May 8, 2019. Answers (1)
- The gradient function of a curve is given by dy/dx= 2x2 – 5 Find the equation of the curve, given that y = 3 and...(Solved)
The gradient function of a curve is given by dy/dx= 2x2 – 5
Find the equation of the curve, given that y = 3 and x = 2
Date posted: May 8, 2019. Answers (1)