Other Math Answers

You ask 250 students to answer the question have you used an illegal drug in the past 72 hours? You use the two coin message described in this section and 86 people answered yes. Estimate how many students in the group have used drugs recently.

Q. 3) Carrying capacity / Stocking rate (Populations and ecosystem)
You removed the above-ground plant material from around 10 quadrats ( 1 sq meter each) in each area to measure primary production. After drying in the oven at 60° C for 24 hrs, the mean dry weight of the plant biomass was 290 g/m² in area 1 and 280 g/m² in area 2. If you want to keep a herd of wild onagers in a fenced area of 1 km², without feeding them during the spring season, what would be the maximum size of the herd (carrying capacity) in each area? You also estimated that around 30% of the plant mass in area 1 belong to unpalatable and poisonous plants, whereas the proportion of unpalatable plant material in area 2 was 25%.
Calculation hints (calculate the total amount of palatable plant biomass in 1 km² in each area, what is the average weight of an onager, how much dry mass does a herbivore mammal consume per day, …)

Solve the Travelling Salesman Problem using Branch and Bound Technique.

Further maths question
1.Express 3x-1/(x+1)(x-3) in a partial fraction
2. Simplify 2/3+5
3.Solve the quadratic equation using factorization method
a. 4x²+8x+1=0
b.3x²+4x-3=0
Maths question
1.Using a ruler and a pair of compass only construct a triangle PQR such that /QR/=6.5cm, /PQ/=3.2cm. a.construct the locus L1 of point equidistance from B and Q. Join RS and PS where S is point of intersection of L1 and L2. Measure /QS/

y(t) + 4 y(t) = 6 e^2t with y(0) = 3 find solution of this differential equation with use laplace transform.

Give an example each in support of the following statements: (a) in some situations the mode of the given data is a better representative value of the data than the mean of this data.
(b) Primary school children need to learn about chance.
(c) The product of two integers a and b need not be greater than a or b.
(d) There is more than one way of dividing a three digit integer by a single digit natural number.
(e) Both, inductive and deductive reasoning , used when applying the principle of mathematical induction.

Determine the cost and structure of an optimal binary search tree (OBST) for a set of n = 5 keys with the probabilities given below. You need to calculate the tables e[i, j], w[i, j] and root[i, j]. (30 marks)


i
0
1
2
3
4
5

pi

0.15
0.10
0.05
0.10
0.20

qi
0.05
0.05
0.05
0.10
0.05
0.10

if first row is 4,5,1,5 and second row is 2,1,2,5 and third row is 3,6,3,2 and the last or fourth row is 39,62,14,? then find the missing number.

Sort the given list of elements using Merge sort
4,2,7,1,9,12,11,10

Which of the following statements are true or false? Give reasons for your answer. (10) i) In the process of learning a concept, what should be noticed and given recognition is the end product. ii) Capacity and volume of 3D-objects are different concepts. iii) The sum of the interior angles of a pentagon is 450 degree iv) All rational numbers are integers but all integers are not rational numbers. v) (− 4 )− (− 7) = − 3