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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Question
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Chapter 3.6, Problem 51PPE

(a)

To determine

Range for heart rates of a 15 year old person.

(a)

Expert Solution
Check Mark

Answer to Problem 51PPE

A 15 year old person should have heart rate of 102.5 to 184.5 beats per minute.

Explanation of Solution

Given data:

Inequality of relation between heart rate and age

  0.5(220−a)≤R≤0.9(220−a) .............(1)

Formula used:

Inequality equation:-

  x≤n≤y  ,  n∈(x,y)

Calculation:

  1. Heart rate for a 15 year old person

So, a=15 for equation (1)

  0.5(220−a)≤R≤0.9(220−a)0.5(220−15)≤R≤0.9(220−15)102.5≤R≤184.5

It should be between 102.5 and 184.5 per minute.

Conclusion:

A 15 year old person should have heart rate of 102.5 to 184.5 beats per minute.

(b)

To determine

Age of a person whose rate is between 99 and 178.2 beats per minute.

(b)

Expert Solution
Check Mark

Answer to Problem 51PPE

Person having heart rate of 99 to 178.2 beats per minute should be 22 years old.

Explanation of Solution

Given data:

Inequality of relation between heart rate and age

  0.5(220−a)≤R≤0.9(220−a) ……..(1)

Formula used:

Inequality equation:-

  x≤n≤y  ,  n∈(x,y)

Calculation:

Age of a person having heart beat between 99 to 178.2 will be

As the lower heart beat of person is 99 beats per minute . So,

  0.5(220−a)≤R0.5(220−a)=99220−a=198a=22years

So the age of person is 22 years

Conclusion:

Person having heart rate of 99 to 178.2 beats per minute should be 22 years old.

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Chapter 3.6, Problem 50PPE
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Chapter 3.6, Problem 52PPE

Chapter 3 Solutions

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

Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 1LCCh. 3.1 - Prob. 2LCCh. 3.1 - Prob. 3LCCh. 3.1 - Prob. 4LCCh. 3.1 - Prob. 5LC
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 - Prob. 54PPECh. 3.1 - Prob. 55PPECh. 3.1 - Prob. 56PPECh. 3.1 - Prob. 57PPECh. 3.1 - Prob. 58PPECh. 3.1 - Prob. 59PPECh. 3.1 - Prob. 60PPECh. 3.1 - Prob. 61PPECh. 3.1 - Prob. 62PPECh. 3.1 - Prob. 63PPECh. 3.1 - Prob. 64PPECh. 3.1 - Prob. 65STPCh. 3.1 - Prob. 66STPCh. 3.1 - Prob. 67STPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 69MRCh. 3.1 - Prob. 70MRCh. 3.1 - Prob. 71MRCh. 3.1 - Prob. 72MRCh. 3.1 - Prob. 73MRCh. 3.1 - Prob. 74MRCh. 3.1 - Prob. 75MRCh. 3.1 - Prob. 76MRCh. 3.1 - Prob. 77MRCh. 3.1 - Prob. 78MRCh. 3.1 - Prob. 79MRCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 1LCCh. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Prob. 4LCCh. 3.2 - Prob. 5LCCh. 3.2 - Prob. 6LCCh. 3.2 - Prob. 7LCCh. 3.2 - Prob. 8LCCh. 3.2 - Prob. 9PPECh. 3.2 - Prob. 10PPECh. 3.2 - Prob. 11PPECh. 3.2 - Prob. 12PPECh. 3.2 - Prob. 13PPECh. 3.2 - Prob. 14PPECh. 3.2 - Prob. 15PPECh. 3.2 - Prob. 16PPECh. 3.2 - Prob. 17PPECh. 3.2 - Prob. 18PPECh. 3.2 - Prob. 19PPECh. 3.2 - Prob. 20PPECh. 3.2 - Prob. 21PPECh. 3.2 - Prob. 22PPECh. 3.2 - Prob. 23PPECh. 3.2 - Prob. 24PPECh. 3.2 - Prob. 25PPECh. 3.2 - Prob. 26PPECh. 3.2 - Prob. 27PPECh. 3.2 - Prob. 28PPECh. 3.2 - Prob. 29PPECh. 3.2 - Prob. 30PPECh. 3.2 - Prob. 31PPECh. 3.2 - Prob. 32PPECh. 3.2 - Prob. 33PPECh. 3.2 - Prob. 34PPECh. 3.2 - Prob. 35PPECh. 3.2 - Prob. 36PPECh. 3.2 - Prob. 37PPECh. 3.2 - Prob. 38PPECh. 3.2 - Prob. 39PPECh. 3.2 - Prob. 40PPECh. 3.2 - Prob. 41PPECh. 3.2 - Prob. 42PPECh. 3.2 - Prob. 43PPECh. 3.2 - Prob. 44PPECh. 3.2 - Prob. 45PPECh. 3.2 - Prob. 46PPECh. 3.2 - Prob. 47PPECh. 3.2 - Prob. 48PPECh. 3.2 - Prob. 49PPECh. 3.2 - Prob. 50PPECh. 3.2 - Prob. 51PPECh. 3.2 - Prob. 52PPECh. 3.2 - Prob. 53PPECh. 3.2 - Prob. 54PPECh. 3.2 - Prob. 55PPECh. 3.2 - Prob. 56PPECh. 3.2 - Prob. 57PPECh. 3.2 - Prob. 58PPECh. 3.2 - Prob. 59PPECh. 3.2 - Prob. 60PPECh. 3.2 - Prob. 61PPECh. 3.2 - Prob. 62PPECh. 3.2 - Prob. 63PPECh. 3.2 - Prob. 64PPECh. 3.2 - Prob. 65PPECh. 3.2 - Prob. 66PPECh. 3.2 - Prob. 67PPECh. 3.2 - Prob. 68PPECh. 3.2 - Prob. 69PPECh. 3.2 - Prob. 70PPECh. 3.2 - Prob. 71PPECh. 3.2 - Prob. 72PPECh. 3.2 - Prob. 73PPECh. 3.2 - Prob. 74PPECh. 3.2 - Prob. 75PPECh. 3.2 - Prob. 76PPECh. 3.2 - Prob. 77PPECh. 3.2 - Prob. 78PPECh. 3.2 - Prob. 79PPECh. 3.2 - Prob. 80PPECh. 3.2 - Prob. 1MPCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 1LCCh. 3.3 - Prob. 2LCCh. 3.3 - Prob. 3LCCh. 3.3 - Prob. 4LCCh. 3.3 - Prob. 5LCCh. 3.3 - Prob. 6LCCh. 3.3 - Prob. 7PPECh. 3.3 - Prob. 8PPECh. 3.3 - Prob. 9PPECh. 3.3 - Prob. 10PPECh. 3.3 - Prob. 11PPECh. 3.3 - Prob. 12PPECh. 3.3 - Prob. 13PPECh. 3.3 - Prob. 14PPECh. 3.3 - Prob. 15PPECh. 3.3 - Prob. 16PPECh. 3.3 - Prob. 17PPECh. 3.3 - Prob. 18PPECh. 3.3 - Prob. 19PPECh. 3.3 - Prob. 20PPECh. 3.3 - Prob. 21PPECh. 3.3 - Prob. 22PPECh. 3.3 - Prob. 23PPECh. 3.3 - Prob. 24PPECh. 3.3 - Prob. 25PPECh. 3.3 - Prob. 26PPECh. 3.3 - Prob. 27PPECh. 3.3 - Prob. 28PPECh. 3.3 - Prob. 29PPECh. 3.3 - Prob. 30PPECh. 3.3 - Prob. 31PPECh. 3.3 - Prob. 32PPECh. 3.3 - Prob. 33PPECh. 3.3 - Prob. 34PPECh. 3.3 - Prob. 35PPECh. 3.3 - Prob. 36PPECh. 3.3 - Prob. 37PPECh. 3.3 - Prob. 38PPECh. 3.3 - Prob. 39PPECh. 3.3 - Prob. 40PPECh. 3.3 - Prob. 41PPECh. 3.3 - Prob. 42PPECh. 3.3 - Prob. 43PPECh. 3.3 - Prob. 44PPECh. 3.3 - Prob. 45PPECh. 3.3 - Prob. 46PPECh. 3.3 - Prob. 47PPECh. 3.3 - Prob. 48PPECh. 3.3 - Prob. 49PPECh. 3.3 - Prob. 50PPECh. 3.3 - Prob. 51PPECh. 3.3 - Prob. 52PPECh. 3.3 - Prob. 53PPECh. 3.3 - Prob. 54PPECh. 3.3 - Prob. 55PPECh. 3.3 - Prob. 56PPECh. 3.3 - Prob. 57PPECh. 3.3 - Prob. 58PPECh. 3.3 - Prob. 59PPECh. 3.3 - Prob. 60PPECh. 3.3 - Prob. 61PPECh. 3.3 - Prob. 62PPECh. 3.3 - Prob. 63PPECh. 3.3 - Prob. 64PPECh. 3.3 - Prob. 65STPCh. 3.3 - Prob. 66STPCh. 3.3 - Prob. 67STPCh. 3.3 - Prob. 68MRCh. 3.3 - Prob. 69MRCh. 3.3 - Prob. 70MRCh. 3.3 - Prob. 71MRCh. 3.3 - Prob. 72MRCh. 3.3 - Prob. 73MRCh. 3.3 - Prob. 74MRCh. 3.3 - Prob. 75MRCh. 3.3 - Prob. 76MRCh. 3.3 - Prob. 1CBCh. 3.3 - Prob. 2CBCh. 3.3 - Prob. 3CBCh. 3.3 - Prob. 4CBCh. 3.3 - Prob. 5CBCh. 3.4 - Prob. 1CBCh. 3.4 - Prob. 2CBCh. 3.4 - Prob. 3CBCh. 3.4 - Prob. 4CBCh. 3.4 - Prob. 5CBCh. 3.4 - Prob. 6CBCh. 3.4 - Prob. 7CBCh. 3.4 - Prob. 8CBCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9PPECh. 3.4 - Prob. 10PPECh. 3.4 - Prob. 11PPECh. 3.4 - Prob. 12PPECh. 3.4 - Prob. 13PPECh. 3.4 - Prob. 14PPECh. 3.4 - Prob. 15PPECh. 3.4 - Prob. 16PPECh. 3.4 - Prob. 17PPECh. 3.4 - Prob. 18PPECh. 3.4 - Prob. 19PPECh. 3.4 - Prob. 20PPECh. 3.4 - Prob. 21PPECh. 3.4 - Prob. 22PPECh. 3.4 - Prob. 23PPECh. 3.4 - Prob. 24PPECh. 3.4 - Prob. 25PPECh. 3.4 - Prob. 26PPECh. 3.4 - Prob. 27PPECh. 3.4 - Prob. 28PPECh. 3.4 - Prob. 29PPECh. 3.4 - Prob. 30PPECh. 3.4 - Prob. 31PPECh. 3.4 - Prob. 32PPECh. 3.4 - Prob. 33PPECh. 3.4 - Prob. 34PPECh. 3.4 - Prob. 35PPECh. 3.4 - Prob. 36PPECh. 3.4 - Prob. 37PPECh. 3.4 - Prob. 38PPECh. 3.4 - Prob. 39PPECh. 3.4 - Prob. 40PPECh. 3.4 - Prob. 41PPECh. 3.4 - Prob. 42PPECh. 3.4 - Prob. 43PPECh. 3.4 - Prob. 44PPECh. 3.4 - Prob. 45PPECh. 3.4 - Prob. 46PPECh. 3.4 - Prob. 47PPECh. 3.4 - Prob. 48PPECh. 3.4 - Prob. 49PPECh. 3.4 - Prob. 50PPECh. 3.4 - Prob. 51PPECh. 3.4 - Prob. 52PPECh. 3.4 - Prob. 53PPECh. 3.4 - Prob. 54PPECh. 3.4 - Prob. 55PPECh. 3.4 - Prob. 56PPECh. 3.4 - Prob. 57PPECh. 3.4 - Prob. 1MPCh. 3.4 - Prob. 1MCQCh. 3.4 - Prob. 2MCQCh. 3.4 - Prob. 3MCQCh. 3.4 - Prob. 4MCQCh. 3.4 - Prob. 5MCQCh. 3.4 - Prob. 6MCQCh. 3.4 - Prob. 7MCQCh. 3.4 - Prob. 8MCQCh. 3.4 - Prob. 9MCQCh. 3.4 - Prob. 10MCQCh. 3.4 - Prob. 11MCQCh. 3.4 - Prob. 12MCQCh. 3.4 - Prob. 13MCQCh. 3.4 - Prob. 14MCQCh. 3.4 - Prob. 15MCQCh. 3.4 - Prob. 16MCQCh. 3.4 - Prob. 17MCQCh. 3.4 - Prob. 18MCQCh. 3.4 - Prob. 19MCQCh. 3.4 - Prob. 20MCQCh. 3.4 - Prob. 21MCQCh. 3.4 - Prob. 22MCQCh. 3.4 - Prob. 23MCQCh. 3.4 - Prob. 24MCQCh. 3.4 - Prob. 25MCQCh. 3.4 - Prob. 26MCQCh. 3.4 - Prob. 27MCQCh. 3.4 - Prob. 28MCQCh. 3.5 - 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 - Prob. 46PPECh. 3.5 - Prob. 47PPECh. 3.5 - Prob. 48PPECh. 3.5 - Prob. 49PPECh. 3.5 - Prob. 50PPECh. 3.5 - Prob. 51PPECh. 3.5 - Prob. 52PPECh. 3.5 - Prob. 53STPCh. 3.5 - Prob. 54STPCh. 3.5 - Prob. 55STPCh. 3.5 - Prob. 56STPCh. 3.5 - Prob. 57STPCh. 3.5 - Prob. 58MRCh. 3.5 - Prob. 59MRCh. 3.5 - Prob. 60MRCh. 3.5 - Prob. 61MRCh. 3.5 - Prob. 62MRCh. 3.5 - Prob. 63MRCh. 3.5 - Prob. 64MRCh. 3.5 - Prob. 65MRCh. 3.5 - Prob. 66MRCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8LCCh. 3.6 - Prob. 9PPECh. 3.6 - Prob. 10PPECh. 3.6 - Prob. 11PPECh. 3.6 - Prob. 12PPECh. 3.6 - Prob. 13PPECh. 3.6 - Prob. 14PPECh. 3.6 - Prob. 15PPECh. 3.6 - Prob. 16PPECh. 3.6 - Prob. 17PPECh. 3.6 - Prob. 18PPECh. 3.6 - Prob. 19PPECh. 3.6 - Prob. 20PPECh. 3.6 - Prob. 21PPECh. 3.6 - Prob. 22PPECh. 3.6 - Prob. 23PPECh. 3.6 - Prob. 24PPECh. 3.6 - Prob. 25PPECh. 3.6 - Prob. 26PPECh. 3.6 - Prob. 27PPECh. 3.6 - Prob. 28PPECh. 3.6 - Prob. 29PPECh. 3.6 - Prob. 30PPECh. 3.6 - Prob. 31PPECh. 3.6 - Prob. 32PPECh. 3.6 - Prob. 33PPECh. 3.6 - Prob. 34PPECh. 3.6 - Prob. 35PPECh. 3.6 - Prob. 36PPECh. 3.6 - Prob. 37PPECh. 3.6 - Prob. 38PPECh. 3.6 - Prob. 39PPECh. 3.6 - Prob. 40PPECh. 3.6 - Prob. 41PPECh. 3.6 - Prob. 42PPECh. 3.6 - Prob. 43PPECh. 3.6 - Prob. 44PPECh. 3.6 - Prob. 45PPECh. 3.6 - Prob. 46PPECh. 3.6 - Prob. 47PPECh. 3.6 - Prob. 48PPECh. 3.6 - Prob. 49PPECh. 3.6 - Prob. 50PPECh. 3.6 - Prob. 51PPECh. 3.6 - Prob. 52PPECh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55STPCh. 3.6 - Prob. 56MRCh. 3.6 - Prob. 57MRCh. 3.6 - Prob. 58MRCh. 3.6 - Prob. 59MRCh. 3.6 - Prob. 60MRCh. 3.6 - Prob. 61MRCh. 3.6 - Prob. 62MRCh. 3.6 - Prob. 63MRCh. 3.6 - Prob. 64MRCh. 3.7 - Prob. 1PCh. 3.7 - Prob. 2PCh. 3.7 - Prob. 3PCh. 3.7 - Prob. 4PCh. 3.7 - Prob. 5PCh. 3.7 - Prob. 1LCCh. 3.7 - Prob. 2LCCh. 3.7 - Prob. 3LCCh. 3.7 - Prob. 4LCCh. 3.7 - Prob. 5LCCh. 3.7 - 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 - Prob. 54PPECh. 3.7 - Prob. 55PPECh. 3.7 - Prob. 56PPECh. 3.7 - Prob. 57PPECh. 3.7 - Prob. 58PPECh. 3.7 - Prob. 59PPECh. 3.7 - Prob. 60PPECh. 3.7 - Prob. 61PPECh. 3.7 - Prob. 62PPECh. 3.7 - Prob. 63PPECh. 3.7 - Prob. 64PPECh. 3.7 - Prob. 65PPECh. 3.7 - Prob. 66PPECh. 3.7 - Prob. 67PPECh. 3.7 - Prob. 68PPECh. 3.7 - Prob. 69PPECh. 3.7 - Prob. 70PPECh. 3.7 - Prob. 71PPECh. 3.7 - Prob. 72PPECh. 3.7 - Prob. 73PPECh. 3.7 - Prob. 74PPECh. 3.7 - Prob. 75PPECh. 3.7 - Prob. 76PPECh. 3.7 - Prob. 77PPECh. 3.7 - Prob. 78PPECh. 3.7 - Prob. 79PPECh. 3.7 - Prob. 80PPECh. 3.7 - Prob. 81PPECh. 3.7 - Prob. 82PPECh. 3.7 - Prob. 83STPCh. 3.7 - Prob. 84STPCh. 3.7 - Prob. 85STPCh. 3.7 - Prob. 86STPCh. 3.7 - Prob. 87STPCh. 3.7 - Prob. 88MRCh. 3.7 - Prob. 89MRCh. 3.7 - Prob. 90MRCh. 3.7 - Prob. 91MRCh. 3.7 - Prob. 92MRCh. 3.7 - Prob. 93MRCh. 3.7 - Prob. 94MRCh. 3.7 - Prob. 95MRCh. 3.7 - Prob. 96MRCh. 3.7 - Prob. 97MRCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - 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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