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- Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.
Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.If two students are chosen at random.
i. Draw a tree diagram to represent the above information.
Hence, find:
ii. The probability that both students take French.
iii. The probability that both students take same subject.
Iv.The probability that both pupils take different subject
Date posted: March 1, 2019
- The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
Date posted: March 1, 2019
- A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking pi = 22/7
and radius of the earth R = 6370 km,
A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking?? =3.14
and radius of the earth R = 6370 km, Calculate:
(a) the distance between city M and city P along the parallel of latitude.
(i) in km
(ii) in nm
b)The local time at city M if the local time at city P is 2030 hours.
(c) The position of city A if A is 5,700 nm south of P(Give your answer to the nearest whole number).
(d) The distance between A and K in nm given the position of K (65°S, 20°E).
Date posted: March 1, 2019
- A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
Date posted: March 1, 2019
- The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
Date posted: March 1, 2019
- Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Date posted: March 1, 2019
- The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
Date posted: March 1, 2019
- Kamau withdrew some money from the bank.
Date posted: March 1, 2019
- Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Date posted: March 1, 2019
- Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Date posted: March 1, 2019
- Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Date posted: March 1, 2019
- The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
Date posted: March 1, 2019
- The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
Date posted: March 1, 2019
- A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
Date posted: March 4, 2019
- The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
Calculate the relative atomic mass of element L
Date posted: March 4, 2019
- In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
Mass of empty evaporating dish = 26.2g
Mass of evaporating dish + saturated solution = 42.4g
Mass of evaporating dish + dry solid = 30.4g
Use the data to calculate the solubility of Y at 300C per 100g water.
Date posted: March 4, 2019
- Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4)
Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4.Show by calculation which of these fertilizers contains the greater percentage of nitrogen by mass (N=14, H=1, O=16,P=31)
Date posted: March 4, 2019
- 10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C.
10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C. Calculate the molar enthalpy of combustion of ethanol.
(H = 1, C = 12, O = 16. Specific heat capacity of water = 4.2 J/kg/k)
Date posted: March 4, 2019
- 120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
Date posted: March 5, 2019
- 100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
a).Calculate the number of moles of MCO3 that reacted with nitric acid.
b).Calculate the relative molecular mass of MCO3.
Date posted: March 5, 2019