Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
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Chapter 7.3, Problem 86PPS

a.

To determine

To calculate the number of steps that has been taken in 2-direction walk if there are 4096 possible walks.

a.

Expert Solution
Check Mark

Answer to Problem 86PPS

12

Explanation of Solution

Given:

The number of possible random walks w of n steps where you choose one of d directions at each step is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 1

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 2Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 3

Formula used:

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 4

Calculation:

The number of possible walks w of n steps with d directions is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 5

Given that Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 6Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 7

Substituting in the given expression,

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 8

Here, 4096 can be written as Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 9

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 10

Conclusion:

Therefore, the number of steps in 2-direction walk is 12.

b.

To determine

To calculate the number of steps that has been taken in 4-direction walk if there are 65536 possible walks.

b.

Expert Solution
Check Mark

Answer to Problem 86PPS

8

Explanation of Solution

Given:

The number of possible random walks w of n steps where you choose one of d directions at each step is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 11

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 12Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 13

Formula used:

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 14

Calculation:

The number of possible walks w of n steps with d directions is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 15

Given that Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 16Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 17

Substituting in the given expression,

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 18

Here, 65536 can be written as Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 19

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 20

Conclusion:

Therefore, the number of steps in 4-direction walk is 8.

c.

To determine

To calculate the number of direction in each step.

c.

Expert Solution
Check Mark

Answer to Problem 86PPS

7

Explanation of Solution

Given:

The number of possible random walks w of n steps where you choose one of d directions at each step is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 21

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 22Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 23

Formula used:

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 24

Calculation:

The number of possible walks w of n steps with d directions is Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 25

Given that Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 26Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 27

Substituting in the given expression,

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 28

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 7.3, Problem 86PPS , additional homework tip 29

Conclusion:

Therefore, there can be 3 directions in each step.

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Chapter 7.3, Problem 85PPS
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Chapter 7.3, Problem 87PPS

Chapter 7 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 7.1 - Prob. 1AGPCh. 7.1 - Prob. 1BGPCh. 7.1 - Prob. 1CGPCh. 7.1 - Prob. 1DGPCh. 7.1 - Prob. 2AGPCh. 7.1 - Prob. 2BGPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4AGPCh. 7.1 - Prob. 4BGPCh. 7.1 - Prob. 5GP
Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - Prob. 49PPSCh. 7.1 - Prob. 50PPSCh. 7.1 - Prob. 51PPSCh. 7.1 - Prob. 52PPSCh. 7.1 - Prob. 53PPSCh. 7.1 - Prob. 54PPSCh. 7.1 - Prob. 55PPSCh. 7.1 - Prob. 56PPSCh. 7.1 - Prob. 57PPSCh. 7.1 - Prob. 58PPSCh. 7.1 - Prob. 59PPSCh. 7.1 - Prob. 60PPSCh. 7.1 - Prob. 61PPSCh. 7.1 - Prob. 62PPSCh. 7.1 - Prob. 63PPSCh. 7.1 - Prob. 64HPCh. 7.1 - Prob. 65HPCh. 7.1 - Prob. 66HPCh. 7.1 - Prob. 67HPCh. 7.1 - Prob. 68PFACh. 7.1 - Prob. 69PFACh. 7.1 - Prob. 70PFACh. 7.1 - Prob. 71PFACh. 7.1 - Prob. 72PFACh. 7.1 - Prob. 73PFACh. 7.1 - Prob. 74PFACh. 7.2 - Prob. 1AGPCh. 7.2 - Prob. 1BGPCh. 7.2 - Prob. 2AGPCh. 7.2 - Prob. 2BGPCh. 7.2 - Prob. 2CGPCh. 7.2 - Prob. 2DGPCh. 7.2 - Prob. 3AGPCh. 7.2 - Prob. 3BGPCh. 7.2 - Prob. 4AGPCh. 7.2 - Prob. 4BGPCh. 7.2 - Prob. 4CGPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 1CYUCh. 7.2 - Prob. 2CYUCh. 7.2 - Prob. 3CYUCh. 7.2 - Prob. 4CYUCh. 7.2 - Prob. 5CYUCh. 7.2 - Prob. 6CYUCh. 7.2 - Prob. 7CYUCh. 7.2 - Prob. 8CYUCh. 7.2 - Prob. 9CYUCh. 7.2 - Prob. 10CYUCh. 7.2 - Prob. 11CYUCh. 7.2 - Prob. 12CYUCh. 7.2 - Prob. 13CYUCh. 7.2 - Prob. 14CYUCh. 7.2 - Prob. 15CYUCh. 7.2 - Prob. 16CYUCh. 7.2 - Prob. 17CYUCh. 7.2 - Prob. 18CYUCh. 7.2 - Prob. 19PPSCh. 7.2 - Prob. 20PPSCh. 7.2 - Prob. 21PPSCh. 7.2 - Prob. 22PPSCh. 7.2 - Prob. 23PPSCh. 7.2 - Prob. 24PPSCh. 7.2 - Prob. 25PPSCh. 7.2 - Prob. 26PPSCh. 7.2 - Prob. 27PPSCh. 7.2 - Prob. 28PPSCh. 7.2 - Prob. 29PPSCh. 7.2 - Prob. 30PPSCh. 7.2 - Prob. 31PPSCh. 7.2 - Prob. 32PPSCh. 7.2 - Prob. 33PPSCh. 7.2 - Prob. 34PPSCh. 7.2 - Prob. 35PPSCh. 7.2 - Prob. 36PPSCh. 7.2 - Prob. 37PPSCh. 7.2 - Prob. 38PPSCh. 7.2 - Prob. 39PPSCh. 7.2 - Prob. 40PPSCh. 7.2 - Prob. 41PPSCh. 7.2 - Prob. 42PPSCh. 7.2 - Prob. 43PPSCh. 7.2 - Prob. 44PPSCh. 7.2 - Prob. 45PPSCh. 7.2 - Prob. 46PPSCh. 7.2 - Prob. 47PPSCh. 7.2 - Prob. 48PPSCh. 7.2 - Prob. 49PPSCh. 7.2 - Prob. 50PPSCh. 7.2 - Prob. 51PPSCh. 7.2 - Prob. 52PPSCh. 7.2 - Prob. 53PPSCh. 7.2 - Prob. 54PPSCh. 7.2 - Prob. 55PPSCh. 7.2 - Prob. 56PPSCh. 7.2 - Prob. 57PPSCh. 7.2 - Prob. 58PPSCh. 7.2 - Prob. 59PPSCh. 7.2 - Prob. 60PPSCh. 7.2 - Prob. 61HPCh. 7.2 - Prob. 62HPCh. 7.2 - Prob. 63HPCh. 7.2 - Prob. 64HPCh. 7.2 - Prob. 65HPCh. 7.2 - Prob. 66PFACh. 7.2 - Prob. 67PFACh. 7.2 - Prob. 68PFACh. 7.2 - Prob. 69PFACh. 7.2 - Prob. 70PFACh. 7.2 - Prob. 71PFACh. 7.2 - Prob. 72PFACh. 7.3 - Prob. 1AGPCh. 7.3 - Prob. 1BGPCh. 7.3 - Prob. 1CGPCh. 7.3 - Prob. 1DGPCh. 7.3 - Prob. 2AGPCh. 7.3 - Prob. 2BGPCh. 7.3 - Prob. 3AGPCh. 7.3 - Prob. 3BGPCh. 7.3 - Prob. 4AGPCh. 7.3 - Prob. 4BGPCh. 7.3 - Prob. 5AGPCh. 7.3 - Prob. 5BGPCh. 7.3 - Prob. 6GPCh. 7.3 - Prob. 1CYUCh. 7.3 - Prob. 2CYUCh. 7.3 - Prob. 3CYUCh. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - Prob. 6CYUCh. 7.3 - Prob. 7CYUCh. 7.3 - Prob. 8CYUCh. 7.3 - Prob. 9CYUCh. 7.3 - Prob. 10CYUCh. 7.3 - Prob. 11CYUCh. 7.3 - Prob. 12CYUCh. 7.3 - Prob. 13CYUCh. 7.3 - Prob. 14CYUCh. 7.3 - Prob. 15CYUCh. 7.3 - Prob. 16CYUCh. 7.3 - Prob. 17PPSCh. 7.3 - Prob. 18PPSCh. 7.3 - Prob. 19PPSCh. 7.3 - Prob. 20PPSCh. 7.3 - Prob. 21PPSCh. 7.3 - Prob. 22PPSCh. 7.3 - Prob. 23PPSCh. 7.3 - Prob. 24PPSCh. 7.3 - Prob. 25PPSCh. 7.3 - Prob. 26PPSCh. 7.3 - Prob. 27PPSCh. 7.3 - Prob. 28PPSCh. 7.3 - Prob. 29PPSCh. 7.3 - Prob. 30PPSCh. 7.3 - Prob. 31PPSCh. 7.3 - Prob. 32PPSCh. 7.3 - Prob. 33PPSCh. 7.3 - Prob. 34PPSCh. 7.3 - Prob. 35PPSCh. 7.3 - Prob. 36PPSCh. 7.3 - Prob. 37PPSCh. 7.3 - Prob. 38PPSCh. 7.3 - Prob. 39PPSCh. 7.3 - Prob. 40PPSCh. 7.3 - Prob. 41PPSCh. 7.3 - Prob. 42PPSCh. 7.3 - Prob. 43PPSCh. 7.3 - Prob. 44PPSCh. 7.3 - Prob. 45PPSCh. 7.3 - Prob. 46PPSCh. 7.3 - Prob. 47PPSCh. 7.3 - Prob. 48PPSCh. 7.3 - Prob. 49PPSCh. 7.3 - Prob. 50PPSCh. 7.3 - Prob. 51PPSCh. 7.3 - Prob. 52PPSCh. 7.3 - Prob. 53PPSCh. 7.3 - Prob. 54PPSCh. 7.3 - Prob. 55PPSCh. 7.3 - Prob. 56PPSCh. 7.3 - Prob. 57PPSCh. 7.3 - Prob. 58PPSCh. 7.3 - Prob. 59PPSCh. 7.3 - Prob. 60PPSCh. 7.3 - Prob. 61PPSCh. 7.3 - Prob. 62PPSCh. 7.3 - Prob. 63PPSCh. 7.3 - Prob. 64PPSCh. 7.3 - Prob. 65PPSCh. 7.3 - Prob. 66PPSCh. 7.3 - Prob. 67PPSCh. 7.3 - Prob. 68PPSCh. 7.3 - Prob. 69PPSCh. 7.3 - Prob. 70PPSCh. 7.3 - Prob. 71PPSCh. 7.3 - Prob. 72PPSCh. 7.3 - Prob. 73PPSCh. 7.3 - Prob. 74PPSCh. 7.3 - Prob. 75PPSCh. 7.3 - Prob. 76PPSCh. 7.3 - Prob. 77PPSCh. 7.3 - Prob. 78PPSCh. 7.3 - Prob. 79PPSCh. 7.3 - Prob. 80PPSCh. 7.3 - Prob. 81PPSCh. 7.3 - Prob. 82PPSCh. 7.3 - Prob. 83PPSCh. 7.3 - Prob. 84PPSCh. 7.3 - Prob. 85PPSCh. 7.3 - Prob. 86PPSCh. 7.3 - Prob. 87PPSCh. 7.3 - Prob. 88PPSCh. 7.3 - Prob. 89HPCh. 7.3 - Prob. 90HPCh. 7.3 - Prob. 91HPCh. 7.3 - Prob. 92HPCh. 7.3 - Prob. 93HPCh. 7.3 - Prob. 94PFACh. 7.3 - Prob. 95PFACh. 7.3 - Prob. 96PFACh. 7.3 - Prob. 97PFACh. 7.3 - Prob. 98PFACh. 7.3 - Prob. 99PFACh. 7.3 - Prob. 100PFACh. 7.3 - Prob. 101PFACh. 7.3 - Prob. 102PFACh. 7.4 - Prob. 1AGPCh. 7.4 - Prob. 1BGPCh. 7.4 - Prob. 2AGPCh. 7.4 - Prob. 2BGPCh. 7.4 - Prob. 3AGPCh. 7.4 - Prob. 3BGPCh. 7.4 - Prob. 4AGPCh. 7.4 - Prob. 4BGPCh. 7.4 - Prob. 4CGPCh. 7.4 - Prob. 4DGPCh. 7.4 - Prob. 5AGPCh. 7.4 - Prob. 5BGPCh. 7.4 - Prob. 6AGPCh. 7.4 - Prob. 6BGPCh. 7.4 - Prob. 6CGPCh. 7.4 - Prob. 6DGPCh. 7.4 - Prob. 7AGPCh. 7.4 - Prob. 7BGPCh. 7.4 - Prob. 7CGPCh. 7.4 - Prob. 7DGPCh. 7.4 - Prob. 8AGPCh. 7.4 - Prob. 8BGPCh. 7.4 - Prob. 8CGPCh. 7.4 - Prob. 8DGPCh. 7.4 - Prob. 9GPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12CYUCh. 7.4 - Prob. 13CYUCh. 7.4 - Prob. 14CYUCh. 7.4 - Prob. 15CYUCh. 7.4 - Prob. 16CYUCh. 7.4 - Prob. 17CYUCh. 7.4 - Prob. 18CYUCh. 7.4 - Prob. 19CYUCh. 7.4 - Prob. 20CYUCh. 7.4 - Prob. 21CYUCh. 7.4 - Prob. 22CYUCh. 7.4 - Prob. 23CYUCh. 7.4 - Prob. 24CYUCh. 7.4 - Prob. 25CYUCh. 7.4 - Prob. 26CYUCh. 7.4 - Prob. 27CYUCh. 7.4 - Prob. 28CYUCh. 7.4 - Prob. 29CYUCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48PPSCh. 7.4 - Prob. 49PPSCh. 7.4 - Prob. 50PPSCh. 7.4 - Prob. 51PPSCh. 7.4 - Prob. 52PPSCh. 7.4 - Prob. 53PPSCh. 7.4 - Prob. 54PPSCh. 7.4 - Prob. 55PPSCh. 7.4 - Prob. 56PPSCh. 7.4 - Prob. 57PPSCh. 7.4 - Prob. 58PPSCh. 7.4 - Prob. 59PPSCh. 7.4 - Prob. 60PPSCh. 7.4 - Prob. 61PPSCh. 7.4 - Prob. 62PPSCh. 7.4 - Prob. 63PPSCh. 7.4 - Prob. 64PPSCh. 7.4 - Prob. 65PPSCh. 7.4 - Prob. 66PPSCh. 7.4 - Prob. 67PPSCh. 7.4 - Prob. 68PPSCh. 7.4 - Prob. 69PPSCh. 7.4 - Prob. 70PPSCh. 7.4 - Prob. 71PPSCh. 7.4 - Prob. 72PPSCh. 7.4 - Prob. 73PPSCh. 7.4 - Prob. 74PPSCh. 7.4 - Prob. 75HPCh. 7.4 - Prob. 76HPCh. 7.4 - Prob. 77HPCh. 7.4 - Prob. 78HPCh. 7.4 - Prob. 79HPCh. 7.4 - Prob. 80HPCh. 7.4 - Prob. 81HPCh. 7.4 - Prob. 82PFACh. 7.4 - Prob. 83PFACh. 7.4 - Prob. 84PFACh. 7.4 - Prob. 85PFACh. 7.4 - Prob. 86PFACh. 7.4 - Prob. 87PFACh. 7.4 - Prob. 88PFACh. 7.4 - Prob. 89PFACh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - Prob. 32PPSCh. 7.5 - Prob. 33PPSCh. 7.5 - Prob. 34PPSCh. 7.5 - Prob. 35PPSCh. 7.5 - Prob. 36PPSCh. 7.5 - Prob. 37PPSCh. 7.5 - Prob. 38PPSCh. 7.5 - Prob. 39PPSCh. 7.5 - Prob. 40PPSCh. 7.5 - Prob. 41HPCh. 7.5 - Prob. 42HPCh. 7.5 - Prob. 43HPCh. 7.5 - Prob. 44HPCh. 7.5 - Prob. 45HPCh. 7.5 - Prob. 46PFACh. 7.5 - Prob. 47PFACh. 7.5 - Prob. 48PFACh. 7.5 - Prob. 49PFACh. 7.5 - Prob. 50PFACh. 7.6 - Prob. 1AGPCh. 7.6 - Prob. 1BGPCh. 7.6 - Prob. 2GPCh. 7.6 - Prob. 3GPCh. 7.6 - Prob. 4AGPCh. 7.6 - Prob. 4BGPCh. 7.6 - Prob. 5GPCh. 7.6 - Prob. 6GPCh. 7.6 - Prob. 1CYUCh. 7.6 - Prob. 2CYUCh. 7.6 - Prob. 3CYUCh. 7.6 - Prob. 4CYUCh. 7.6 - Prob. 5CYUCh. 7.6 - Prob. 6CYUCh. 7.6 - Prob. 7CYUCh. 7.6 - Prob. 8CYUCh. 7.6 - Prob. 9CYUCh. 7.6 - Prob. 10CYUCh. 7.6 - Prob. 11CYUCh. 7.6 - Prob. 12CYUCh. 7.6 - Prob. 13CYUCh. 7.6 - Prob. 14CYUCh. 7.6 - Prob. 15CYUCh. 7.6 - Prob. 16PPSCh. 7.6 - Prob. 17PPSCh. 7.6 - Prob. 18PPSCh. 7.6 - Prob. 19PPSCh. 7.6 - Prob. 20PPSCh. 7.6 - Prob. 21PPSCh. 7.6 - Prob. 22PPSCh. 7.6 - Prob. 23PPSCh. 7.6 - Prob. 24PPSCh. 7.6 - Prob. 25PPSCh. 7.6 - Prob. 26PPSCh. 7.6 - Prob. 27PPSCh. 7.6 - Prob. 28PPSCh. 7.6 - Prob. 29PPSCh. 7.6 - Prob. 30PPSCh. 7.6 - Prob. 31PPSCh. 7.6 - Prob. 32PPSCh. 7.6 - Prob. 33PPSCh. 7.6 - Prob. 34PPSCh. 7.6 - Prob. 35PPSCh. 7.6 - Prob. 36PPSCh. 7.6 - Prob. 37PPSCh. 7.6 - Prob. 38PPSCh. 7.6 - Prob. 39PPSCh. 7.6 - Prob. 40PPSCh. 7.6 - Prob. 41PPSCh. 7.6 - Prob. 42PPSCh. 7.6 - Prob. 43PPSCh. 7.6 - Prob. 44PPSCh. 7.6 - Prob. 45PPSCh. 7.6 - Prob. 46PPSCh. 7.6 - Prob. 47PPSCh. 7.6 - Prob. 48PPSCh. 7.6 - Prob. 49PPSCh. 7.6 - Prob. 50PPSCh. 7.6 - Prob. 51PPSCh. 7.6 - Prob. 52PPSCh. 7.6 - Prob. 53PPSCh. 7.6 - Prob. 54PPSCh. 7.6 - Prob. 55PPSCh. 7.6 - Prob. 56PPSCh. 7.6 - Prob. 57PPSCh. 7.6 - Prob. 58PPSCh. 7.6 - Prob. 59PPSCh. 7.6 - Prob. 60PPSCh. 7.6 - Prob. 61PPSCh. 7.6 - Prob. 62PPSCh. 7.6 - Prob. 63PPSCh. 7.6 - Prob. 64HPCh. 7.6 - Prob. 65HPCh. 7.6 - Prob. 66HPCh. 7.6 - Prob. 67HPCh. 7.6 - Prob. 68HPCh. 7.6 - Prob. 69HPCh. 7.6 - Prob. 70HPCh. 7.6 - Prob. 71PFACh. 7.6 - Prob. 72PFACh. 7.6 - Prob. 73PFACh. 7.6 - Prob. 74PFACh. 7.6 - Prob. 75PFACh. 7.6 - Prob. 76PFACh. 7.6 - Prob. 77PFACh. 7.6 - Prob. 78PFACh. 7.7 - Prob. 1GPCh. 7.7 - Prob. 2GPCh. 7.7 - Prob. 3GPCh. 7.7 - Prob. 4GPCh. 7.7 - Prob. 5GPCh. 7.7 - Prob. 6GPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30HPCh. 7.7 - Prob. 31HPCh. 7.7 - Prob. 32HPCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35PFACh. 7.7 - Prob. 36PFACh. 7.7 - Prob. 37PFACh. 7.7 - Prob. 38PFACh. 7.7 - Prob. 39PFACh. 7.7 - Prob. 40PFACh. 7.7 - Prob. 41PFACh. 7.7 - Prob. 42PFACh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3PPSCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8HPCh. 7.8 - Prob. 9HPCh. 7.8 - Prob. 10HPCh. 7.8 - Prob. 11HPCh. 7.8 - Prob. 12PFACh. 7.8 - Prob. 13PFACh. 7.8 - Prob. 14PFACh. 7.8 - Prob. 15PFACh. 7.8 - Prob. 16PFACh. 7.8 - Prob. 17PFACh. 7.8 - Prob. 18PFACh. 7.9 - Prob. 1AGPCh. 7.9 - Prob. 1BGPCh. 7.9 - Prob. 1CGPCh. 7.9 - Prob. 2AGPCh. 7.9 - Prob. 2BGPCh. 7.9 - Prob. 3GPCh. 7.9 - Prob. 4GPCh. 7.9 - Prob. 1CYUCh. 7.9 - Prob. 2CYUCh. 7.9 - Prob. 3CYUCh. 7.9 - Prob. 4CYUCh. 7.9 - Prob. 5CYUCh. 7.9 - Prob. 6CYUCh. 7.9 - Prob. 7CYUCh. 7.9 - Prob. 8CYUCh. 7.9 - Prob. 9CYUCh. 7.9 - Prob. 10CYUCh. 7.9 - Prob. 11CYUCh. 7.9 - Prob. 12CYUCh. 7.9 - Prob. 13CYUCh. 7.9 - Prob. 14PPSCh. 7.9 - Prob. 15PPSCh. 7.9 - Prob. 16PPSCh. 7.9 - Prob. 17PPSCh. 7.9 - Prob. 18PPSCh. 7.9 - Prob. 19PPSCh. 7.9 - Prob. 20PPSCh. 7.9 - Prob. 21PPSCh. 7.9 - Prob. 22PPSCh. 7.9 - Prob. 23PPSCh. 7.9 - Prob. 24PPSCh. 7.9 - Prob. 25PPSCh. 7.9 - Prob. 26PPSCh. 7.9 - Prob. 27PPSCh. 7.9 - Prob. 28PPSCh. 7.9 - Prob. 29PPSCh. 7.9 - Prob. 30PPSCh. 7.9 - Prob. 31PPSCh. 7.9 - Prob. 32PPSCh. 7.9 - Prob. 33PPSCh. 7.9 - Prob. 34PPSCh. 7.9 - Prob. 35PPSCh. 7.9 - Prob. 36PPSCh. 7.9 - Prob. 37PPSCh. 7.9 - Prob. 38HPCh. 7.9 - Prob. 39HPCh. 7.9 - Prob. 40HPCh. 7.9 - Prob. 41HPCh. 7.9 - Prob. 42HPCh. 7.9 - Prob. 43PFACh. 7.9 - Prob. 44PFACh. 7.9 - Prob. 45PFACh. 7.9 - Prob. 46PFACh. 7.9 - Prob. 47PFACh. 7.9 - Prob. 48PFACh. 7.9 - Prob. 49PFACh. 7.10 - Prob. 1AGPCh. 7.10 - Prob. 1BGPCh. 7.10 - Prob. 2GPCh. 7.10 - Prob. 3GPCh. 7.10 - Prob. 4AGPCh. 7.10 - Prob. 4BGPCh. 7.10 - Prob. 1CYUCh. 7.10 - Prob. 2CYUCh. 7.10 - Prob. 3CYUCh. 7.10 - Prob. 4CYUCh. 7.10 - Prob. 5CYUCh. 7.10 - Prob. 6CYUCh. 7.10 - Prob. 7CYUCh. 7.10 - Prob. 8CYUCh. 7.10 - Prob. 9CYUCh. 7.10 - Prob. 10PPSCh. 7.10 - Prob. 11PPSCh. 7.10 - Prob. 12PPSCh. 7.10 - Prob. 13PPSCh. 7.10 - Prob. 14PPSCh. 7.10 - Prob. 15PPSCh. 7.10 - Prob. 16PPSCh. 7.10 - Prob. 17PPSCh. 7.10 - Prob. 18PPSCh. 7.10 - Prob. 19PPSCh. 7.10 - Prob. 20PPSCh. 7.10 - Prob. 21PPSCh. 7.10 - Prob. 22PPSCh. 7.10 - Prob. 23PPSCh. 7.10 - Prob. 24PPSCh. 7.10 - Prob. 25PPSCh. 7.10 - Prob. 26PPSCh. 7.10 - Prob. 27PPSCh. 7.10 - Prob. 28PPSCh. 7.10 - Prob. 29PPSCh. 7.10 - Prob. 30PPSCh. 7.10 - Prob. 31HPCh. 7.10 - Prob. 32HPCh. 7.10 - Prob. 33HPCh. 7.10 - Prob. 34HPCh. 7.10 - Prob. 35HPCh. 7.10 - Prob. 36PFACh. 7.10 - Prob. 37PFACh. 7.10 - Prob. 38PFACh. 7.10 - Prob. 39PFACh. 7.10 - Prob. 40PFACh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 1PFACh. 7 - Prob. 2PFACh. 7 - Prob. 3PFACh. 7 - Prob. 4PFACh. 7 - Prob. 5PFACh. 7 - Prob. 6PFACh. 7 - Prob. 7PFACh. 7 - Prob. 8PFACh. 7 - Prob. 9PFACh. 7 - Prob. 10PFACh. 7 - Prob. 11PFACh. 7 - Prob. 12PFACh. 7 - Prob. 13PFACh. 7 - Prob. 14PFACh. 7 - Prob. 15PFA

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