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- A bag contains 5 red , 4 white and 3 blue beads. Two beads are selected at random.
(a) Draw a tree diagram and list the...(Solved)
A bag contains 5 red , 4 white and 3 blue beads. Two beads are selected at random.
(a) Draw a tree diagram and list the probability space.
(b) Find the probability that
(i) The last bead selected is red.
(ii) The beads selected were of the same color
(iii) At least one of the selected beads is blue.
Date posted: August 15, 2019. Answers (1)
- Find the inverse of the matrix below and hence solve the simultaneous equations below it.
2x+y=21
3x+2y=34(Solved)
Find the inverse of the matrix below and hence solve the simultaneous equations below it.
2x+y=21
3x+2y=34
Date posted: August 15, 2019. Answers (1)
- The table below shows marks obtained by a form four class in a certain school.Use the table to represent the information on a histogram.(Solved)
The table below shows marks obtained by a form four class in a certain school.Use the table to represent the information on a histogram.
Date posted: August 15, 2019. Answers (1)
- In Ngamongo village, a piece of work can be completed by 45 workers in 10 days .They worked for 4 days after which 15 workers...(Solved)
In Ngamongo village, a piece of work can be completed by 45 workers in 10 days .They worked for 4 days after which 15 workers were laid off. How many days would it take the remaining workers to complete the work?
Date posted: August 15, 2019. Answers (1)
- Given the curve y= x2-2x+6, find the coordinates of the point on the curve at which the gradient is 4.(Solved)
Given the curve y= x2-2x+6, find the coordinates of the point on the curve at which the gradient is 4.
Date posted: August 14, 2019. Answers (1)
- Solve for t in the equation
9t+1 +32t=30.(Solved)
Solve for t in the equation
9t+1 +32t=30.
Date posted: August 14, 2019. Answers (1)
- Omwando borrows sh. 90,000 for 5 years at 6 ½ % simple interest p.a.What amount does he have to pay at the end of that...(Solved)
Omwando borrows sh. 90,000 for 5 years at 6 ½ % simple interest p.a.What amount does he have to pay at the end of that time?
Date posted: August 14, 2019. Answers (1)
- Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free...(Solved)
Odhis car Hire company hires out as follows; sh. 2500 per day and sh. 270 per kilometer covered. They offer a discount of 30km free each day of hire.Makori hires a car for 5 days and drives for 480km. Calculate the total cost.
Date posted: August 14, 2019. Answers (1)
- Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)(Solved)
Find the value of x in the following figure given that area A =Area B=Area C(Give your answer to 2 decimal places)
Date posted: August 14, 2019. Answers (1)
- The diagram below shows a circle with centre P(5,5) and radius 5 units.
(a) Write down in terms of x and y the equation of the...(Solved)
The diagram below shows a circle with centre P(5,5) and radius 5 units
(a) Write down in terms of x and y the equation of the circle in the form ax2+by2+cx+dy+e=0 where a,b,c,d and e are constants.
(b) Determine the gradient of PQ
(c) Find the equation of the tangent at Q in the form ax+by=c.
Date posted: August 14, 2019. Answers (1)
- A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than...(Solved)
A positive two digit number is such that the product of the digits is 20.When the digits are reversed,the number so formed is greater than the original number by 9.Find the number.
Date posted: August 14, 2019. Answers (1)
- A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of...(Solved)
A train whose length is 60 metres is travelling at 40km/h in the same direction as a bus whose length is 20m.If the speed of bus is 80km/h and moving parallel to the train, calculate the time it takes the truck to overtake the train completely in seconds.
Date posted: August 14, 2019. Answers (1)
- If X is a positive integer, find all possible values of x given that(Solved)
If X is a positive integer, find all possible values of x given that
Date posted: August 14, 2019. Answers (1)
- From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of...(Solved)
From a point A, the angle of elevation of top of a watch tower is 200.From another point which is 25m from the base of the tower, the angle of elevation of the top of the tower is 260.Giving your answer to three decimal places, determine the height of the tower and hence calculate the distance between the points A and B if they are both on the same side of the tower and lie on a straight line with the base of the tower.
Date posted: August 14, 2019. Answers (1)
- Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the...(Solved)
Two boys and a girl shared some money .The elder boy got four-nineth of it, the younger boy got two-fifth of the reminder and the girl got the rest. Find the percentage share of the younger boy to the girl’s share.
Date posted: August 14, 2019. Answers (1)
- Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.(Solved)
Without using mathematical tables or calculators, evaluate the following leaving your answer as a fraction in its simplest form.
Date posted: August 14, 2019. Answers (1)
- The diagram below shows the sketch of the curve y = x2 and y = -x2 + 8 intersecting at A and B.
a) Find the...(Solved)
The diagram below shows the sketch of the curve y = x2 and y = -x2 + 8 intersecting at A and B.
a) Find the value of a and b hence find the co-ordinates of A and B.
b) Find the area enclosed by x = a and x = b, The x axis and
i) The curve y = x2
ii) the curve y = -x2 + 8
c) Find the area of the shaded region.
Date posted: August 14, 2019. Answers (1)
- Three businessmen Mutuku, Mutiso and Kitili decided to buy a bus. The market price of the bus was sh2,800,000. The men could pay a deposit...(Solved)
Three businessmen Mutuku, Mutiso and Kitili decided to buy a bus. The market price of the bus was sh2,800,000. The men could pay a deposit of 60% of the money and the rest to be paid within one year. Mutuku, Mutiso and Kitili raised the deposit in the ratio 3:2:5 respectively. The balance was to be paid to the dealer from the proceeds of the bus in the same deposits. During the year the bus realized sh.2,080,000
a) How much deposit did each contribute?
b) How much of the remaining amount did Kitili pay at the end of the year?
c) After paying the remaining amount at the end of the year, how much money was Mutuku left with?
Date posted: August 14, 2019. Answers (1)
- Using a ruler and a pair of compasses only,i) Construct a quadrilateral ABCD with AB = 6cm, BC = 5cm, CD = 8cm, AD =...(Solved)
Using a ruler and a pair of compasses only,
i) Construct a quadrilateral ABCD with AB = 6cm, BC = 5cm, CD = 8cm, AD = 7cm and angle ABC = 150o
ii) Construct a circle that will pass through points A, D and C.
iii) Find the shortest distance from the centre of the circle to side AB.
iv) Measure the length constructed in (iii) above.
Date posted: August 14, 2019. Answers (1)
- In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in...(Solved)
In the figure below P and Q are centres of two circles intersecting at A and B. The radii are 5cm and 8cm as shown in the diagram. Length of AB = 8cm.
Determine;
a) Length PQ
b) The size of angle APB
c) The area of the shaded region.
Date posted: August 14, 2019. Answers (1)