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- The probability that Hilda, Lucy and Caroline will be late for breakfast on any one morning are a quarter , a third and a...(Solved)
The probability that Hilda, Lucy and Caroline will be late for breakfast on any one morning are a quarter , a third and a fifth respectively on any one morning.
a) Using a probability tree diagram find the probability that:-
i) none of them will be late
ii) Only one of them will be late
iii) at least one of them will be late
iv) at most one of them will be late
Date posted: August 23, 2019. Answers (1)
- A plug is made up of hemisphere cup of radius 4.9cm and a cylinder of diameter 42cm and height 6cm as shown in the diagram...(Solved)
A plug is made up of hemisphere cup of radius 4.9cm and a cylinder of diameter 42cm and height 6cm as shown in the diagram alongside. Calculate the volume of the plug.
Date posted: August 23, 2019. Answers (1)
- A line segment joining two points P(0,7) and S (2, 3.8) is divided externally by point Q in the ratio 7:3. Find the co-ordinates of...(Solved)
A line segment joining two points P(0,7) and S (2, 3.8) is divided externally by point Q in the ratio 7:3. Find the co-ordinates of point Q.
Date posted: August 23, 2019. Answers (1)
- A two digit number is such that the square of the unit digit is equal to one less than the tens digit and that the...(Solved)
A two digit number is such that the square of the unit digit is equal to one less than the tens digit and that the unit digit raised to power four and add three times the tens digit is equal to seven.Find the number.
Date posted: August 23, 2019. Answers (1)
- A ball is dropped from the top of a building and its height h, metres above the ground at any time t, seconds is given...(Solved)
A ball is dropped from the top of a building and its height h, metres above the ground at any time t, seconds is given by h = 350 + 65t – t2.
i) Find the velocity of the ball when t = 2 secs.
ii) State the time when the ball hits the ground.
Date posted: August 23, 2019. Answers (1)
- Mrs. Nandi bought a television set on hire purchase by paying a down payment of Ksh. 5000 and Monthly installments of Ksh. 1250 for 2...(Solved)
Mrs. Nandi bought a television set on hire purchase by paying a down payment of Ksh. 5000 and Monthly installments of Ksh. 1250 for 2 years. If the interest rate charged was 12% p.a what is the carrying change to the nearest hundreds?
Date posted: August 23, 2019. Answers (1)
- Draw a line PQ = 7.2cm and on one side of the line, use a ruler and pair of compasses only to draw the locus...(Solved)
Draw a line PQ = 7.2cm and on one side of the line, use a ruler and pair of compasses only to draw the locus of a point A such that 0 and on it mark point A such that PA = QA.
Date posted: August 23, 2019. Answers (1)
- The table below shows heights of 50 students(Solved)
The table below shows heights of 50 students
a) Sate the modal class.
b) Calculate the median.
Date posted: August 23, 2019. Answers (1)
- For a lifting machine, the effort E required to lift a load L is partly constant and partly varies as L. Given that L =...(Solved)
For a lifting machine, the effort E required to lift a load L is partly constant and partly varies as L. Given that L = 2 when E = 5.5 and L = 6 when E = 6.5, Write an equation connecting E and L.
Date posted: August 23, 2019. Answers (1)
- Given the calculation 8.70 x 2.4, Ronoh obtains an approximate value by rounding off the given values to the nearest whole number. Determine the percentage...(Solved)
Given the calculation 8.70 x 2.4, Ronoh obtains an approximate value by rounding off the given values to the nearest whole number. Determine the percentage error in the calculation arising from the approximation.
Date posted: August 23, 2019. Answers (1)
- In the figure below, O is the centre of the circle and TA and TB are tangents to the circle at A and B respectively....(Solved)
In the figure below, O is the centre of the circle and TA and TB are tangents to the circle at A and B respectively. Given that angle ATO = 390; calculate angle TBX.
Date posted: August 23, 2019. Answers (1)
- Evaluate leaving your answer in surd form.(Solved)
Evaluate leaving your answer in surd form.
Date posted: August 23, 2019. Answers (1)
- The initial salary of Mr. Kiptum is Sh. 42,000 per annum. His salary increases by 13% each year.Determine his total earnings after 15 years. Give...(Solved)
The initial salary of Mr. Kiptum is Sh. 42,000 per annum. His salary increases by 13% each year.Determine his total earnings after 15 years. Give your answer to the nearest thousands.
Date posted: August 23, 2019. Answers (1)
- A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and...(Solved)
A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and B. Another bus starts from B also at 8am and moves towards A making four stops at four equally spaced points between B and A. Each stop is of duration 5 minutes and the average between any two spots is 60km/h. Calculate the distance between the two buses at 10am.
Date posted: August 23, 2019. Answers (1)
- Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)(Solved)
Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)
Date posted: August 23, 2019. Answers (1)
- A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a...(Solved)
A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a type B requires 4 man – hours. The cost of material for type A is sh 120 and that for type B is sh100. The profit on type A is sh 80 and profit on type B is sh 60. The carpenter has to abide by the following conditions
(i) A contract to supply 15 of type A and 10 of type B per week has to be fulfilled
(ii) Only 300 man – hours are available in each week.
(iii) Total weekly cost of material for all chairs should not exceed sh 6000
If type A and type B chairs were x and y per week respectively.
(a) Write down the inequalities satisfying these conditions
(b) Represent this information on a grid and show the region by shading out the unwanted.
(c) What values of x and y will give maximum profit. Determine this maximum profit.
Date posted: August 23, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: August 23, 2019. Answers (1)
- A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits. (Solved)
A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits. Nekesa deposited Ksh. P in the bank for two years on simple interest terms, if she had deposited the same amount for two years on compound interest terms, she would have earned Ksh. 210 more. Find the value of P.
Date posted: August 23, 2019. Answers (1)
- The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of...(Solved)
The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of the material used to make the pipe.
Date posted: August 23, 2019. Answers (1)
- Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...(Solved)
Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted: August 23, 2019. Answers (1)