Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.
The variables are known to satisfy a relation of the form y = ax3+ b where a and b are constants
Complete the table given below using the functions.
Y = −3 cos 2x0 and y = 2 sin (3⁄ 2 x0+ 300) for 0 < x < 1800
A school has to take 384 people for a tour. There are two types of buses available, type X and type Y. Type X can carry 64 passengers and type Y can carry 48 passengers. They have to use at least 7 buses.
Kubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.
Four towns R, T, K and G are such that T is 84 km directly to the north R, and K is on a bearing of 2950 from R at a distance of 60 km. G is on a bearing of 3400 from K and a distance of 30 km. Using a scale of 1 cm to represent 10 km, make an accurate scale drawing to show the relative positions of the town.
(a) The distance and the bearing of T from K
(b) The distance and the bearing G from T
(c) The bearing of R from G
In an agricultural research centre, the length of a sample of 50 maize cobs were measured and recorded as shown in the frequency distribution table below.
In the figure below AOC is a diameter of the circle centre O; AB = BC and ∠ACD = 250, EBF is a tangent to the circle at B. G is a point on the minor arc CD.
Two businessmen jointly bought a minibus which could ferry 25 paying passengers when full. The fare between two towns A and B was Kshs 80 per passengers for one way. The minibus made three round trips between two towns daily. The cost of fuel was Kshs 1500 per day. The driver and the conductor were paid daily allowances of 200 and Kshs 150 respectively.