Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 4.1, Problem 30PPS

a)

To determine

To find: The total number of minutes used in a month by a family with 18 years, 19 years and by two 37-55 years old members.

a)

Expert Solution
Check Mark

Answer to Problem 30PPS

Total number of minutes used in a month by the said age group used be 4060 minutes.

Explanation of Solution

Given information: Following double bar graph that shows average monthly cell phone uses by the users of different age groups:

  Pre-Algebra Student Edition, Chapter 4.1, Problem 30PPS , additional homework tip  1

Concept used: For monthly calls, orange color bars heights will be observed and for number of calls, green color bars heights will be observed with their related given values.

Calculation: In 18-24 years group, number of minutes used be 1304, and for 37-55 age group, it is 726, so for one 18 years, one 19 years and two 37-55 age group user, total minutes used :

  1304+1304+2(726)=2608+1452=4060 minutes

Conclusion: By above calculation, it is concluded that total desired minutes used in a month be 4060 minutes by the said users. Total calls made by said users in three months be 3516 and age group 18-24 years, made the maximum number of monthly calls.

b)

To determine

To find: Total number of calls made in three months by two 20 years and two 30 years olds.

b)

Expert Solution
Check Mark

Answer to Problem 30PPS

Total number of calls made in three months by given persons be 3516 calls.

Explanation of Solution

Given information: Following double bar graph that shows average monthly cell phone uses by the users of different age groups:

  Pre-Algebra Student Edition, Chapter 4.1, Problem 30PPS , additional homework tip  2

Concept used: For monthly calls, orange color bars heights will be observed and for number of calls, green color bars heights will be observed with their related given values.

Calculation : For a 20 years old use, monthly number of calls are 340, for a 30 years old, it is 246 calls per month, so for two 20 years old and two 30 years old user, total calls for three months be :

  3(2(340)+2(246))=3(680+492)=3×1172=3516 calls.

Conclusion: By above calculation, it is concluded that total calls made by said users in three months be 3516 .

c)

To determine

To find: The group, that placed maximum monthly calls.

c)

Expert Solution
Check Mark

Answer to Problem 30PPS

Age group 18-24 user made the maximum average 340 calls in a month.

Explanation of Solution

Given information: Following double bar graph that shows average monthly cell phone uses by the users of different age groups:

  Pre-Algebra Student Edition, Chapter 4.1, Problem 30PPS , additional homework tip  3

Concept used: For monthly calls, orange color bars heights will be observed and for number of calls, green color bars heights will be observed with their related given values.

Calculation: By the graph, it is cleared that maximum height of green bar, showing monthly calls is 340, that is of age group 18-24, so age group 18-24 years placed the most monthly calls.

Conclusion: By given graph, it is concluded that age group 18-24 years, made the maximum number of monthly calls.

Chapter 4 Solutions

Pre-Algebra Student Edition

Ch. 4.1 - Prob. 4CYUCh. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10PPSCh. 4.1 - Prob. 11PPSCh. 4.1 - Prob. 12PPSCh. 4.1 - Prob. 13PPSCh. 4.1 - Prob. 14PPSCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47PPSCh. 4.1 - Prob. 48PPSCh. 4.1 - Prob. 49PPSCh. 4.1 - Prob. 50PPSCh. 4.1 - Prob. 51PPSCh. 4.1 - Prob. 52PPSCh. 4.1 - Prob. 53PPSCh. 4.1 - Prob. 54PPSCh. 4.1 - Prob. 55HPCh. 4.1 - Prob. 56HPCh. 4.1 - Prob. 57HPCh. 4.1 - Prob. 58HPCh. 4.1 - Prob. 59STPCh. 4.1 - Prob. 60STPCh. 4.1 - Prob. 61STPCh. 4.1 - Prob. 62STPCh. 4.1 - Prob. 63SRCh. 4.1 - Prob. 64SRCh. 4.1 - Prob. 65SRCh. 4.1 - Prob. 66SRCh. 4.1 - Prob. 67SRCh. 4.1 - Prob. 68SRCh. 4.1 - Prob. 69SRCh. 4.1 - Prob. 70SRCh. 4.1 - Prob. 71SRCh. 4.1 - Prob. 72SRCh. 4.1 - Prob. 73SCh. 4.1 - Prob. 74SCh. 4.1 - Prob. 75SCh. 4.1 - Prob. 76SCh. 4.2 - Prob. 1GPCh. 4.2 - Prob. 2GPCh. 4.2 - Prob. 3AGPCh. 4.2 - Prob. 3BGPCh. 4.2 - Prob. 3CGPCh. 4.2 - Prob. 4GPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12CYUCh. 4.2 - Prob. 13CYUCh. 4.2 - Prob. 14CYUCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35PPSCh. 4.2 - Prob. 36PPSCh. 4.2 - Prob. 37PPSCh. 4.2 - Prob. 38PPSCh. 4.2 - Prob. 39PPSCh. 4.2 - Prob. 40PPSCh. 4.2 - Prob. 41PPSCh. 4.2 - Prob. 42PPSCh. 4.2 - Prob. 43PPSCh. 4.2 - Prob. 44PPSCh. 4.2 - Prob. 45PPSCh. 4.2 - Prob. 46PPSCh. 4.2 - Prob. 47PPSCh. 4.2 - Prob. 48PPSCh. 4.2 - Prob. 49PPSCh. 4.2 - Prob. 50PPSCh. 4.2 - Prob. 51PPSCh. 4.2 - Prob. 52PPSCh. 4.2 - Prob. 53PPSCh. 4.2 - Prob. 54HPCh. 4.2 - Prob. 55HPCh. 4.2 - Prob. 56HPCh. 4.2 - Prob. 57HPCh. 4.2 - Prob. 58HPCh. 4.2 - Prob. 59HPCh. 4.2 - Prob. 60STPCh. 4.2 - Prob. 61STPCh. 4.2 - Prob. 62STPCh. 4.2 - Prob. 63STPCh. 4.2 - Prob. 64SRCh. 4.2 - Prob. 65SRCh. 4.2 - Prob. 66SRCh. 4.2 - Prob. 67SRCh. 4.2 - Prob. 68SRCh. 4.2 - Prob. 69SRCh. 4.2 - Prob. 70SRCh. 4.2 - Prob. 71SRCh. 4.2 - Prob. 72SRCh. 4.2 - Prob. 73SRCh. 4.2 - Prob. 74SRCh. 4.2 - Prob. 75SRCh. 4.2 - Prob. 76SRCh. 4.2 - Prob. 77SRCh. 4.2 - Prob. 78SCh. 4.2 - Prob. 79SCh. 4.2 - Prob. 80SCh. 4.3 - Prob. 1AGPCh. 4.3 - Prob. 1BGPCh. 4.3 - Prob. 2AGPCh. 4.3 - Prob. 2BGPCh. 4.3 - Prob. 3GPCh. 4.3 - Prob. 1CYUCh. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7CYUCh. 4.3 - Prob. 8CYUCh. 4.3 - Prob. 9CYUCh. 4.3 - Prob. 10CYUCh. 4.3 - Prob. 11CYUCh. 4.3 - Prob. 12PPSCh. 4.3 - Prob. 13PPSCh. 4.3 - Prob. 14PPSCh. 4.3 - Prob. 15PPSCh. 4.3 - Prob. 16PPSCh. 4.3 - Prob. 17PPSCh. 4.3 - Prob. 18PPSCh. 4.3 - Prob. 19PPSCh. 4.3 - Prob. 20PPSCh. 4.3 - Prob. 21PPSCh. 4.3 - Prob. 22PPSCh. 4.3 - Prob. 23PPSCh. 4.3 - Prob. 24PPSCh. 4.3 - Prob. 25PPSCh. 4.3 - Prob. 26PPSCh. 4.3 - Prob. 27PPSCh. 4.3 - Prob. 28PPSCh. 4.3 - Prob. 29PPSCh. 4.3 - Prob. 30PPSCh. 4.3 - Prob. 31PPSCh. 4.3 - Prob. 32PPSCh. 4.3 - Prob. 33PPSCh. 4.3 - Prob. 34PPSCh. 4.3 - Prob. 35PPSCh. 4.3 - Prob. 36PPSCh. 4.3 - Prob. 37PPSCh. 4.3 - Prob. 38PPSCh. 4.3 - Prob. 39PPSCh. 4.3 - Prob. 40PPSCh. 4.3 - Prob. 41PPSCh. 4.3 - Prob. 42PPSCh. 4.3 - Prob. 43HPCh. 4.3 - Prob. 44HPCh. 4.3 - Prob. 45HPCh. 4.3 - Prob. 46HPCh. 4.3 - Prob. 47HPCh. 4.3 - Prob. 48STPCh. 4.3 - Prob. 49STPCh. 4.3 - Prob. 50STPCh. 4.3 - Prob. 51STPCh. 4.3 - Prob. 52SRCh. 4.3 - Prob. 53SRCh. 4.3 - Prob. 54SRCh. 4.3 - Prob. 55SRCh. 4.3 - Prob. 56SRCh. 4.3 - Prob. 57SRCh. 4.3 - Prob. 58SRCh. 4.3 - Prob. 59SRCh. 4.3 - Prob. 60SCh. 4.3 - Prob. 61SCh. 4.3 - Prob. 62SCh. 4.3 - Prob. 63SCh. 4.3 - Prob. 64SCh. 4.3 - Prob. 65SCh. 4.4 - Prob. 1AGPCh. 4.4 - Prob. 1BGPCh. 4.4 - Prob. 2AGPCh. 4.4 - Prob. 2BGPCh. 4.4 - Prob. 3GPCh. 4.4 - Prob. 4AGPCh. 4.4 - Prob. 4BGPCh. 4.4 - Prob. 5AGPCh. 4.4 - Prob. 5BGPCh. 4.4 - Prob. 1CYUCh. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Prob. 4CYUCh. 4.4 - Prob. 5CYUCh. 4.4 - Prob. 6CYUCh. 4.4 - Prob. 7CYUCh. 4.4 - Prob. 8CYUCh. 4.4 - Prob. 9CYUCh. 4.4 - Prob. 10CYUCh. 4.4 - Prob. 11CYUCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13PPSCh. 4.4 - Prob. 14PPSCh. 4.4 - Prob. 15PPSCh. 4.4 - Prob. 16PPSCh. 4.4 - Prob. 17PPSCh. 4.4 - Prob. 18PPSCh. 4.4 - Prob. 19PPSCh. 4.4 - Prob. 20PPSCh. 4.4 - Prob. 21PPSCh. 4.4 - Prob. 22PPSCh. 4.4 - Prob. 23PPSCh. 4.4 - Prob. 24PPSCh. 4.4 - Prob. 25PPSCh. 4.4 - Prob. 26PPSCh. 4.4 - Prob. 27PPSCh. 4.4 - Prob. 28PPSCh. 4.4 - Prob. 29PPSCh. 4.4 - Prob. 30PPSCh. 4.4 - Prob. 31PPSCh. 4.4 - Prob. 32PPSCh. 4.4 - Prob. 33PPSCh. 4.4 - Prob. 34PPSCh. 4.4 - Prob. 35PPSCh. 4.4 - Prob. 36PPSCh. 4.4 - Prob. 37PPSCh. 4.4 - Prob. 38PPSCh. 4.4 - Prob. 39PPSCh. 4.4 - Prob. 40PPSCh. 4.4 - Prob. 41PPSCh. 4.4 - Prob. 42PPSCh. 4.4 - Prob. 43PPSCh. 4.4 - Prob. 44HPCh. 4.4 - Prob. 45HPCh. 4.4 - Prob. 46HPCh. 4.4 - Prob. 47HPCh. 4.4 - Prob. 48HPCh. 4.4 - Prob. 49HPCh. 4.4 - Prob. 50STPCh. 4.4 - Prob. 51STPCh. 4.4 - Prob. 52STPCh. 4.4 - Prob. 53STPCh. 4.4 - Prob. 54SRCh. 4.4 - Prob. 55SRCh. 4.4 - Prob. 56SRCh. 4.4 - Prob. 57SRCh. 4.4 - Prob. 58SRCh. 4.4 - Prob. 59SRCh. 4.4 - Prob. 60SRCh. 4.4 - Prob. 61SRCh. 4.4 - Prob. 62SRCh. 4.4 - Prob. 63SRCh. 4.4 - Prob. 64SRCh. 4.4 - Prob. 65SRCh. 4.4 - Prob. 66SRCh. 4.4 - Prob. 67SRCh. 4.4 - Prob. 68SRCh. 4.4 - Prob. 69SRCh. 4.4 - Prob. 70SRCh. 4.4 - Prob. 71SCh. 4.4 - Prob. 72SCh. 4.4 - Prob. 73SCh. 4.4 - Prob. 74SCh. 4.4 - Prob. 75SCh. 4.4 - Prob. 76SCh. 4.5 - Prob. 1AGPCh. 4.5 - Prob. 1BGPCh. 4.5 - Prob. 2AGPCh. 4.5 - Prob. 2BGPCh. 4.5 - Prob. 3AGPCh. 4.5 - Prob. 3BGPCh. 4.5 - Prob. 4AGPCh. 4.5 - Prob. 4BGPCh. 4.5 - Prob. 5GPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4CYUCh. 4.5 - Prob. 5CYUCh. 4.5 - Prob. 6CYUCh. 4.5 - Prob. 7CYUCh. 4.5 - Prob. 8CYUCh. 4.5 - Prob. 9CYUCh. 4.5 - Prob. 10CYUCh. 4.5 - Prob. 11CYUCh. 4.5 - Prob. 12CYUCh. 4.5 - Prob. 13CYUCh. 4.5 - Prob. 14PPSCh. 4.5 - Prob. 15PPSCh. 4.5 - Prob. 16PPSCh. 4.5 - Prob. 17PPSCh. 4.5 - Prob. 18PPSCh. 4.5 - Prob. 19PPSCh. 4.5 - Prob. 20PPSCh. 4.5 - Prob. 21PPSCh. 4.5 - Prob. 22PPSCh. 4.5 - Prob. 23PPSCh. 4.5 - Prob. 24PPSCh. 4.5 - Prob. 25PPSCh. 4.5 - Prob. 26PPSCh. 4.5 - Prob. 27PPSCh. 4.5 - Prob. 28PPSCh. 4.5 - Prob. 29PPSCh. 4.5 - Prob. 30PPSCh. 4.5 - Prob. 31PPSCh. 4.5 - Prob. 32PPSCh. 4.5 - Prob. 33PPSCh. 4.5 - Prob. 34PPSCh. 4.5 - Prob. 35PPSCh. 4.5 - Prob. 36PPSCh. 4.5 - Prob. 37PPSCh. 4.5 - Prob. 38PPSCh. 4.5 - Prob. 39PPSCh. 4.5 - Prob. 40PPSCh. 4.5 - Prob. 41PPSCh. 4.5 - Prob. 42PPSCh. 4.5 - Prob. 43HPCh. 4.5 - Prob. 44HPCh. 4.5 - Prob. 45HPCh. 4.5 - Prob. 46HPCh. 4.5 - Prob. 47HPCh. 4.5 - Prob. 48STPCh. 4.5 - Prob. 49STPCh. 4.5 - Prob. 50STPCh. 4.5 - Prob. 51STPCh. 4.5 - Prob. 52SRCh. 4.5 - Prob. 53SRCh. 4.5 - Prob. 54SRCh. 4.5 - Prob. 55SRCh. 4.5 - Prob. 56SRCh. 4.5 - Prob. 57SRCh. 4.5 - Prob. 58SRCh. 4.5 - Prob. 59SRCh. 4.5 - Prob. 60SCh. 4.5 - Prob. 61SCh. 4.5 - Prob. 62SCh. 4.5 - Prob. 63SCh. 4.5 - Prob. 64SCh. 4.5 - Prob. 65SCh. 4.6 - Prob. 1AGPCh. 4.6 - Prob. 1BGPCh. 4.6 - Prob. 1CGPCh. 4.6 - Prob. 2GPCh. 4.6 - Prob. 3GPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4CYUCh. 4.6 - Prob. 5CYUCh. 4.6 - Prob. 6CYUCh. 4.6 - Prob. 7PPSCh. 4.6 - Prob. 8PPSCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15PPSCh. 4.6 - Prob. 16PPSCh. 4.6 - Prob. 17PPSCh. 4.6 - Prob. 18PPSCh. 4.6 - Prob. 19PPSCh. 4.6 - Prob. 20HPCh. 4.6 - Prob. 21HPCh. 4.6 - Prob. 22HPCh. 4.6 - Prob. 23HPCh. 4.6 - Prob. 24HPCh. 4.6 - Prob. 25STPCh. 4.6 - Prob. 26STPCh. 4.6 - Prob. 27STPCh. 4.6 - Prob. 28STPCh. 4.6 - Prob. 29SRCh. 4.6 - Prob. 30SRCh. 4.6 - Prob. 31SRCh. 4.6 - Prob. 32SRCh. 4.6 - Prob. 33SRCh. 4.6 - Prob. 34SRCh. 4.6 - Prob. 35SRCh. 4.6 - Prob. 36SRCh. 4.6 - Prob. 37SRCh. 4.6 - Prob. 38SCh. 4.6 - Prob. 39SCh. 4.6 - Prob. 40SCh. 4.6 - Prob. 41SCh. 4 - Prob. 1QCCh. 4 - Prob. 2QCCh. 4 - Prob. 3QCCh. 4 - Prob. 4QCCh. 4 - Prob. 5QCCh. 4 - Prob. 6QCCh. 4 - Prob. 7QCCh. 4 - Prob. 8QCCh. 4 - Prob. 9QCCh. 4 - Prob. 10QCCh. 4 - Prob. 11QCCh. 4 - Prob. 12QCCh. 4 - Prob. 13QCCh. 4 - Prob. 14QCCh. 4 - Prob. 15QCCh. 4 - Prob. 16QCCh. 4 - Prob. 17QCCh. 4 - Prob. 18QCCh. 4 - Prob. 19QCCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 24MCQCh. 4 - Prob. 25MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 35SGRCh. 4 - Prob. 36SGRCh. 4 - Prob. 37SGRCh. 4 - Prob. 38SGRCh. 4 - Prob. 39SGRCh. 4 - Prob. 40SGRCh. 4 - Prob. 41SGRCh. 4 - Prob. 42SGRCh. 4 - Prob. 43SGRCh. 4 - Prob. 44SGRCh. 4 - Prob. 45SGRCh. 4 - Prob. 46SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 21PTCh. 4 - Prob. 22PTCh. 4 - Prob. 23PTCh. 4 - Prob. 24PTCh. 4 - Prob. 25PTCh. 4 - Prob. 26PTCh. 4 - Prob. 27PTCh. 4 - Prob. 28PTCh. 4 - Prob. 29PTCh. 4 - Prob. 30PTCh. 4 - Prob. 31PTCh. 4 - Prob. 32PTCh. 4 - Prob. 33PTCh. 4 - Prob. 1ECh. 4 - Prob. 2ECh. 4 - Prob. 3ECh. 4 - Prob. 1STPCh. 4 - Prob. 2STPCh. 4 - Prob. 3STPCh. 4 - Prob. 4STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 10STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 4 - Prob. 13STPCh. 4 - Prob. 14STPCh. 4 - Prob. 15STP
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