1. There are 320 martians traveling together in a spaceship and 128 of them are Male. (*Note: There are only two genders of martians on this ship.) Of the male martians 56 have no antennas, and of the females 108 are without antennas. Define your Universal set and TWO appropriate subsets. Translate the four pieces of given information into symbolic form. Write ONLY the GIVEN values listed above in the correct location in the table below. Martians M M Total a) e) d) e) Total b) Use formulas to find each missing value IN THE ORDER GIVEN for the table above, then correctly label your formulas and complete the Venn Diagram. (a) (b) (c) (d) (e)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
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Label all parts of your diagram, and include the Roman Numerals for the corresponding regions with your diagrams and formulas. Include table and formulas for all value, in order.
1. There are 320 martians traveling together in a spaceship and 128 of them are Male. (*Note: There
are only two genders of martians on this ship.) Of the male martians 56 have no antennas, and of
the females 108 are without antennas.
Define your Universal set and TWO appropriate subsets.
Translate the four pieces of given information into symbolic form.
Write ONLY the GIVEN values listed above in the correct location in the table below.
Martians M
M
Total
A
a)
e)
(P
A
c)
Total
b)
Use formulas to find each missing value IN THE ORDER GIVEN for the table
above, then correctly label your formulas and complete the Venn Diagram.
(a)
(b)
(c)
(d)
(e)
3. Write an appropriate formula that could be used to find and/or verify each, and
then describe each set in a complete sentence.
Example: n(A'n M) = n(A') – n(A'O M') = 164 – 108 = 56. /
There are 56 martians without antennas who are male.
n(An M')
n(AUM)
Transcribed Image Text:1. There are 320 martians traveling together in a spaceship and 128 of them are Male. (*Note: There are only two genders of martians on this ship.) Of the male martians 56 have no antennas, and of the females 108 are without antennas. Define your Universal set and TWO appropriate subsets. Translate the four pieces of given information into symbolic form. Write ONLY the GIVEN values listed above in the correct location in the table below. Martians M M Total A a) e) (P A c) Total b) Use formulas to find each missing value IN THE ORDER GIVEN for the table above, then correctly label your formulas and complete the Venn Diagram. (a) (b) (c) (d) (e) 3. Write an appropriate formula that could be used to find and/or verify each, and then describe each set in a complete sentence. Example: n(A'n M) = n(A') – n(A'O M') = 164 – 108 = 56. / There are 56 martians without antennas who are male. n(An M') n(AUM)
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