High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 3.8, Problem 37PPE
To determine

The number of patients represented by the data.

Expert Solution & Answer
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Answer to Problem 37PPE

The numbers of patients are 62 .

Explanation of Solution

Given information:

Type A contains A antigen.

Type B contains B antigen.

Type O does not have any antigen.

The number of patients of with A antigen = 25

The number of patients of with B antigen = 17

The number of patients of with A and B antigen = 10

The number of patients of without A or B antigen = 30

Calculation:

The given problem is solved with the help of Venn diagram.

Venn diagram is the representation of sets in the form of circles which enables to calculate the intersection, union, and total number of elements.

The Venn diagram is shown below:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 3.8, Problem 37PPE , additional homework tip  1

Where,

x represents the number of elements that belongs set A only.

y represents the number of elements that belongs to set B only.

z represents the number of elements that belongs to set A and B.

O represents the number of elements that belongs to none of sets A or B.

The strategies used to complete the Venn diagram are given as follows:

  • Draw two circles A and B which represents the number of patients with antigen A and s number of patients with antigen B respectively.
  • The intersection of A and B represents the number of patients with A and B antigen.
  • Find the number of patients who have only antigen A: 2510=15 .
  • Similarly find the number of patients who have only antigen B: 1710=7 .
  • The total number of patients are x+y+z+o .

Therefore the above Venn diagram becomes,

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 3.8, Problem 37PPE , additional homework tip  2

The total numbers of patients are,

  =x+y+z+o=15+7+10+30=62

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 3.1 - Prob. 6LCCh. 3.1 - Prob. 7LCCh. 3.1 - Prob. 8PPECh. 3.1 - Prob. 9PPECh. 3.1 - Prob. 10PPECh. 3.1 - Prob. 11PPECh. 3.1 - Prob. 12PPECh. 3.1 - Prob. 13PPECh. 3.1 - Prob. 14PPECh. 3.1 - Prob. 15PPECh. 3.1 - Prob. 16PPECh. 3.1 - Prob. 17PPECh. 3.1 - Prob. 18PPECh. 3.1 - Prob. 19PPECh. 3.1 - Prob. 20PPECh. 3.1 - Prob. 21PPECh. 3.1 - Prob. 22PPECh. 3.1 - Prob. 23PPECh. 3.1 - Prob. 24PPECh. 3.1 - Prob. 25PPECh. 3.1 - Prob. 26PPECh. 3.1 - Prob. 27PPECh. 3.1 - Prob. 28PPECh. 3.1 - Prob. 29PPECh. 3.1 - Prob. 30PPECh. 3.1 - Prob. 31PPECh. 3.1 - Prob. 32PPECh. 3.1 - Prob. 33PPECh. 3.1 - Prob. 34PPECh. 3.1 - Prob. 35PPECh. 3.1 - Prob. 36PPECh. 3.1 - Prob. 37PPECh. 3.1 - Prob. 38PPECh. 3.1 - Prob. 39PPECh. 3.1 - Prob. 40PPECh. 3.1 - Prob. 41PPECh. 3.1 - Prob. 42PPECh. 3.1 - Prob. 43PPECh. 3.1 - Prob. 44PPECh. 3.1 - Prob. 45PPECh. 3.1 - Prob. 46PPECh. 3.1 - Prob. 47PPECh. 3.1 - Prob. 48PPECh. 3.1 - Prob. 49PPECh. 3.1 - Prob. 50PPECh. 3.1 - Prob. 51PPECh. 3.1 - Prob. 52PPECh. 3.1 - Prob. 53PPECh. 3.1 - 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Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPECh. 3.5 - Prob. 10PPECh. 3.5 - Prob. 11PPECh. 3.5 - Prob. 12PPECh. 3.5 - Prob. 13PPECh. 3.5 - Prob. 14PPECh. 3.5 - Prob. 15PPECh. 3.5 - Prob. 16PPECh. 3.5 - Prob. 17PPECh. 3.5 - Prob. 18PPECh. 3.5 - Prob. 19PPECh. 3.5 - Prob. 20PPECh. 3.5 - Prob. 21PPECh. 3.5 - Prob. 22PPECh. 3.5 - Prob. 23PPECh. 3.5 - Prob. 24PPECh. 3.5 - Prob. 25PPECh. 3.5 - Prob. 26PPECh. 3.5 - Prob. 27PPECh. 3.5 - Prob. 28PPECh. 3.5 - Prob. 29PPECh. 3.5 - Prob. 30PPECh. 3.5 - Prob. 31PPECh. 3.5 - Prob. 32PPECh. 3.5 - Prob. 33PPECh. 3.5 - Prob. 34PPECh. 3.5 - Prob. 35PPECh. 3.5 - Prob. 36PPECh. 3.5 - Prob. 37PPECh. 3.5 - Prob. 38PPECh. 3.5 - Prob. 39PPECh. 3.5 - Prob. 40PPECh. 3.5 - Prob. 41PPECh. 3.5 - Prob. 42PPECh. 3.5 - Prob. 43PPECh. 3.5 - Prob. 44PPECh. 3.5 - Prob. 45PPECh. 3.5 - 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Prob. 6LCCh. 3.7 - Prob. 7LCCh. 3.7 - Prob. 8LCCh. 3.7 - Prob. 9PPECh. 3.7 - Prob. 10PPECh. 3.7 - Prob. 11PPECh. 3.7 - Prob. 12PPECh. 3.7 - Prob. 13PPECh. 3.7 - Prob. 14PPECh. 3.7 - Prob. 15PPECh. 3.7 - Prob. 16PPECh. 3.7 - Prob. 17PPECh. 3.7 - Prob. 18PPECh. 3.7 - Prob. 19PPECh. 3.7 - Prob. 20PPECh. 3.7 - Prob. 21PPECh. 3.7 - Prob. 22PPECh. 3.7 - Prob. 23PPECh. 3.7 - Prob. 24PPECh. 3.7 - Prob. 25PPECh. 3.7 - Prob. 26PPECh. 3.7 - Prob. 27PPECh. 3.7 - Prob. 28PPECh. 3.7 - Prob. 29PPECh. 3.7 - Prob. 30PPECh. 3.7 - Prob. 31PPECh. 3.7 - Prob. 32PPECh. 3.7 - Prob. 33PPECh. 3.7 - Prob. 34PPECh. 3.7 - Prob. 35PPECh. 3.7 - Prob. 36PPECh. 3.7 - Prob. 37PPECh. 3.7 - Prob. 38PPECh. 3.7 - Prob. 39PPECh. 3.7 - Prob. 40PPECh. 3.7 - Prob. 41PPECh. 3.7 - Prob. 42PPECh. 3.7 - Prob. 43PPECh. 3.7 - Prob. 44PPECh. 3.7 - Prob. 45PPECh. 3.7 - Prob. 46PPECh. 3.7 - Prob. 47PPECh. 3.7 - Prob. 48PPECh. 3.7 - Prob. 49PPECh. 3.7 - Prob. 50PPECh. 3.7 - Prob. 51PPECh. 3.7 - Prob. 52PPECh. 3.7 - Prob. 53PPECh. 3.7 - 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Prob. 1LCCh. 3.8 - Prob. 2LCCh. 3.8 - Prob. 3LCCh. 3.8 - Prob. 4LCCh. 3.8 - Prob. 5LCCh. 3.8 - Prob. 6LCCh. 3.8 - Prob. 7LCCh. 3.8 - Prob. 8LCCh. 3.8 - Prob. 9LCCh. 3.8 - Prob. 10PPECh. 3.8 - Prob. 11PPECh. 3.8 - Prob. 12PPECh. 3.8 - Prob. 13PPECh. 3.8 - Prob. 14PPECh. 3.8 - Prob. 15PPECh. 3.8 - Prob. 16PPECh. 3.8 - Prob. 17PPECh. 3.8 - Prob. 18PPECh. 3.8 - Prob. 19PPECh. 3.8 - Prob. 20PPECh. 3.8 - Prob. 21PPECh. 3.8 - Prob. 22PPECh. 3.8 - Prob. 23PPECh. 3.8 - Prob. 24PPECh. 3.8 - Prob. 25PPECh. 3.8 - Prob. 26PPECh. 3.8 - Prob. 27PPECh. 3.8 - Prob. 28PPECh. 3.8 - Prob. 29PPECh. 3.8 - Prob. 30PPECh. 3.8 - Prob. 31PPECh. 3.8 - Prob. 32PPECh. 3.8 - Prob. 33PPECh. 3.8 - Prob. 34PPECh. 3.8 - Prob. 35PPECh. 3.8 - Prob. 36PPECh. 3.8 - Prob. 37PPECh. 3.8 - Prob. 38PPECh. 3.8 - Prob. 39PPECh. 3.8 - Prob. 40PPECh. 3.8 - Prob. 41PPECh. 3.8 - Prob. 42PPECh. 3.8 - Prob. 43PPECh. 3.8 - Prob. 44PPECh. 3.8 - Prob. 45PPECh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47STPCh. 3.8 - Prob. 48STPCh. 3.8 - Prob. 49MRCh. 3.8 - Prob. 50MRCh. 3.8 - Prob. 51MRCh. 3.8 - Prob. 52MRCh. 3.8 - Prob. 53MRCh. 3.8 - Prob. 54MRCh. 3.8 - Prob. 55MRCh. 3.8 - Prob. 56MRCh. 3.8 - Prob. 57MRCh. 3.8 - Prob. 58MRCh. 3.8 - Prob. 59MRCh. 3.8 - Prob. 60MRCh. 3.8 - Prob. 61MRCh. 3.8 - Prob. 62MRCh. 3.8 - Prob. 63MRCh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 24GRCh. 3 - Prob. 25GRCh. 3 - Prob. 26GRCh. 3 - Prob. 27GRCh. 3 - Prob. 28GRCh. 3 - Prob. 29GRCh. 3 - Prob. 30GRCh. 3 - Prob. 31GRCh. 3 - Prob. 32GRCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Prob. 39CRCh. 3 - Prob. 40CRCh. 3 - Prob. 41CRCh. 3 - Prob. 42CRCh. 3 - Prob. 43CRCh. 3 - Prob. 44CRCh. 3 - Prob. 45CRCh. 3 - Prob. 46CRCh. 3 - Prob. 47CRCh. 3 - Prob. 48CRCh. 3 - Prob. 49CRCh. 3 - Prob. 50CRCh. 3 - Prob. 51CRCh. 3 - Prob. 52CRCh. 3 - Prob. 53CRCh. 3 - Prob. 54CRCh. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Prob. 59CRCh. 3 - Prob. 60CRCh. 3 - Prob. 61CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Prob. 22CTCh. 3 - Prob. 23CTCh. 3 - Prob. 24CTCh. 3 - Prob. 25CTCh. 3 - Prob. 26CTCh. 3 - Prob. 27CTCh. 3 - Prob. 28CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSRCh. 3 - Prob. 24CCSRCh. 3 - Prob. 25CCSRCh. 3 - Prob. 26CCSRCh. 3 - Prob. 27CCSRCh. 3 - Prob. 28CCSRCh. 3 - Prob. 29CCSRCh. 3 - Prob. 30CCSRCh. 3 - Prob. 31CCSRCh. 3 - Prob. 32CCSR
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