Question

) In a survey of 100 families the number that read recent issues to a certain monthly magazine was found to be as follows:
Issues Read Number of families
September only 18
September and July 8
September but not August 23
September 26
July 48
July and August 8
None of the 3 months 24

Required
i) Present the above information in a Venn diagram. (6mks)
ii) How many families read the July issue if and only if they did not read the August issue? (2mks)
iii) How many families read the August issue? (2mks)
iv) How many families read the September and August issues but not the July issue? (2mks)
b) Find the sum of the first 100terms of the arithmetic progression of 2,7,12,.. (4mks)
c) Find the sum of the first 200 terms of the geometric progression 3,6,12,.. (4mks)

Answer 1

Answer:

Step-by-step explanation

a;18(September only 18)........1

a+b+d+f;26(september26)......2

g+f+d+e;48(July48)..................3

d+e;8(July and august 8).........4

d+f;8(September and July 8)...5

a+f;23(September but not august 23)...6

a+b+c+d+e+f+g;76(none of  3 months 24)......7

from 1 and 6 ,f=5...............8

from 8and 5,d=3....9

from 9 and 4,e=5......10

from 2,8,9 and 10, g=35...11

from  2,8, 9 and 1, b=0...12

as only c is missing putting values of all others  7,c=7.

1; august =b+c+d+e=18

2;two consequence issues either July and august or august and September =5

3;July minus august =g+f=35+5=40

4;September plus august minus July =b=0