A group of 80 students in a college were surveyed

A group of 80 students in a college were surveyed

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  1. see below

    Step-by-step explanation:

    80 - 71 = 9

    That means 9 studied neither language

    25+14 = 39 studied only 1 language

    71 - 39 =32

    32 studied both

    [tex]A group of 80 students in a college were surveyed. They are asked which of Spanish or French they ar[/tex]

  2. a) Find attached the completed Venn diagram (2nd diagram)

    b) 25

    c) 46

    A related Question found at (ID 16765143):

    A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.

    a) Complete the Venn diagram.

    b) How many students study only french?

    c) How many students study Spanish?

    Step-by-step explanation:

    Find attached the Venn diagram (1st diagram)

    a) Total number of students in college = 80

    Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9

    From the venn diagram:

    Number of students that study Spanish = 14

    Number of students that study French = 25

    We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.

    Estimated value for the middle term = 80-(14+25+9) = 32

    From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.

    Let number of students that study both Spanish and French = x

    Spanish only = 14

    French only = 25

    the number of students that studied neither French nor Spanish = 9

    Total:

    14 + 25 + x + 9 = 80

    48 + x = 80

    x = Number of students that study both Spanish and French = 32

    b) French only = 25

    c) Number of  students that study Spanish = students that study at least Spanish

    = 14+x = 14+32

    Number of  students that study Spanish = 46

    [tex]A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are[/tex]
    [tex]A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are[/tex]

  3. You will separate 71 of the students into a + b

    the remainder that studied both simultaneously go in the middle, less those that don't study any language that goes at the bottom of the diagram.

    To find out who studied Spanish you add up the ones in the middle and the ones with a or b you have to determine whether it is a or b that study Spanish then add with the ones in the middle that study both. If A studies Spanish then its all the first values in the attachment. If it is b then its the second values in the attachment both show the middle value too.

    The third values show the inverse of A

    = all those that are not in A and includes all those that dont study any language.

    You only need the first diagram value or the 2nd value diagram in the attachment.

    Step-by-step explanation:

  4. Both French and Spanish= 32

    Only studies French=25

    studies Spanish=46

    Do not study any languages=9

    Step-by-step explanation:

    1. 14+25=39

    2. 71-39=32 = both languages (middle section)

    3. 25 already study french

    4. Studies Spanish = 46 because 14+32= 46

    5. Students that don’t do any languages =9 because 80-71=9

  5. Aw snap! We really want to help you out, but it looks like your question is incomplete. Please repost and include all helpful information, so other users can get back to you with the best answer. Thanks! ߷

    Step-by-step explanation:

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