In a class,30 offer Biology,21 offer Chemistry and 22 offer Physics.15 offer Physics and Biology,10 offer Physics and Chemistry and 13 offer Biology and Chemistry.2 offer Physics only,3 offer Chemistry only and 7 offer Biology only.
a.illustrate this information in a Venn diagram
b.find the number of students
i.who offer all the three subjects the class
C.If a student is selected at random, what is the probability that he studies either Physics or Chemistry.

  1. 👍 0
  2. 👎 0
  3. 👁 58
  1. draw the Venn diagram. It is easy to fill in
    2 offer Physics only,3 offer Chemistry only and 7 offer Biology only.
    Now if we let
    x = only Biology and Chemistry
    y = only Biology and Physics
    z = only Chemistry and physics
    a = all three
    Then we have
    x+y+7+a = 30
    x+z+3+a = 21
    y+z+2+a = 22
    There is no unique solution, since we do not know how many students there are in the class. But the above equations tell us that
    y = x+2 = z+5
    So some solutions are
    x y z a Class
    4 6 1 13 36
    5 7 2 11 37
    10 12 7 1 42

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    Perfume is sold in two different sizes of bottle The 80ml bottle is priced at £55 The 50ml bottle is usually priced at £45, but is on special offer If you buy one 50ml bottle of perfume, you get a second for half price By

    asked by Joseph on November 11, 2017
  2. math

    A school has 63 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 study Biology and Chemistry while 8 study both Physics and Biology. Equal numbers

    asked by ifi on December 24, 2012
  3. Mathematics

    in a certain examination,52 candidates offers biology, 60 offers history, 92 offers both biology and history,21 offers both biology and history, 22 mathematics and history. If 7 candidates offers all the three subjects find

    asked by Favour on June 27, 2020
  4. Statistics

    Assume that X, the starting salary offer to psychology majors is normally distributed with a mean of $47,507 and a SD of $5000. 1. The probability that a randomly selected psychology major received a starting salary offer greater

    asked by Jolie on October 23, 2014
  5. Mathematics

    In a class of 42 students,25 offer biology,15 offer history and 18 do biology but not history. i. Draw a Venn diagram to show the information. ii. Find how many students offer neither history nor biology

    asked by Goodness on June 29, 2020
  1. Mathematics

    In a class of 50 students, the number of students who offer Accounting is twice as the number who offer Economics. 10 students offer neither of tsubjecs the two subjects. I. Illustrate the information on a Venn diagram. II. How

    asked by Matthew on October 8, 2019
  2. Math

    In a class of 100 students, 40 offer Biology and 10 offer Chemistry and Biology .10 offer Physics and Chemistry , and 30 offer Physic and Biology . Each student offer at least one of the three subjects. The number of students who

    asked by Delson on June 9, 2016
  3. Science

    3. How does the study of science benefit society? A. Non scientists in society often use the same experiments conducted by scientists in the laboratory. B. The study of science helps slow down a fast paced society. C. The study of

    asked by Me on August 29, 2018
  4. english vocab

    __________ 1-2 Already angry,the customer became more ___ when he __________ received only this __ response: No return. _______ 3-4 when I answer my phone and hear someone demand, "who is this?" _______ my _ is _ to "I'm the

    asked by jay on August 28, 2010
  5. Business Law

    Jackie tells a group of friends that she plans to sell her home. Meg asks how much Jackie hopes to get for the house, and Jackie replies, "$50,000." Meg says, "I accept your offer. I'll purchase your house for $50,000." No

    asked by Kathleen S on February 9, 2013
  6. math

    In a class of 50 student, 25 offer mathematics, 22 offer physcis, 30 offer chemistry and all the student take at least one of these subjects , 10 offer physics and mathematics, 8 offer chemistry and mathematics , 16 offer physics

    asked by kunfayakun on December 24, 2017

You can view more similar questions or ask a new question.