Before 350 companies are awarded ISO 9002, few officers are assigned to check all the items manufactured by the companies. After the inspection, the officers prepared a report as follows: x companies had non-defective(N) items only, y companies had partially defective(P) items only, 26 companies had defective (D) items only, 60 companies had non-defective and partially defective items 45 companies had non-defective and defective items 75 companies had defective and partially defective items 15 companies had non-partially and defective items Represent the above information in a Venn diagram. (i) If the number of company that had non-defective items is more by 10 than those companies that had partially defective items, derive a pair of simultaneous equations in x and y. (ii) Solve the equations in (i). (iii) Find the number of companies that had non-defective or defective items.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Before 350 companies are awarded ISO 9002, few officers are assigned
to check all the items manufactured by the companies. After the
inspection, the officers prepared a report as follows:
8.
x companies had non-defective(N) items only,
y companies had partially defective(P) items only,
26 companies had defective (D) items only,
60 companies had non-defective and partially defective items
45 companies had non-defective and defective items
75 companies had defective and partially defective items
15 companies had non-partially and defective items
Represent the above information in a Venn diagram.
(i) If the number of company that had non-defective items is more by 10
than those companies that had partially defective items, derive a pair
of simultaneous equations in x and y.
(ii) Solve the equations in (i).
(iii) Find the number of companies that had non-defective or defective
items.
Transcribed Image Text:Before 350 companies are awarded ISO 9002, few officers are assigned to check all the items manufactured by the companies. After the inspection, the officers prepared a report as follows: 8. x companies had non-defective(N) items only, y companies had partially defective(P) items only, 26 companies had defective (D) items only, 60 companies had non-defective and partially defective items 45 companies had non-defective and defective items 75 companies had defective and partially defective items 15 companies had non-partially and defective items Represent the above information in a Venn diagram. (i) If the number of company that had non-defective items is more by 10 than those companies that had partially defective items, derive a pair of simultaneous equations in x and y. (ii) Solve the equations in (i). (iii) Find the number of companies that had non-defective or defective items.
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