Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Concept explainers

2-Proportion Test
In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.
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Chapter 6.4, Problem 19HP

(a)

To determine

To Find:The different objects that are closer to a golden rectangle.

(a)

Expert Solution
Check Mark

Answer to Problem 19HP

  ObjectLongWideRatioDNA34211.619:1Petals55341.168:1Face321.5:1

Explanation of Solution

Given:Many objects such as credit cards are shaped like golden rectangles. A golden rectangle is a rectangle in which the ratio of the length to the width is approximately 1.618 to 1. This ratio is called the golden ratio.

List of three more objects that are close to a golden ratio.

DNA molecules in human body: Dimension 34 long by 21 wide.

Flower petals: Dimension 55 by 34 petals.

The position of nose and mount follows golden ratio. The distance from bottom of cheek and eyes 3 by 2 .

Now make table and ratio of each dimension.

  ObjectLongWideRatioDNA34211.619:1Petals55341.168:1Face321.5:1

(b)

To determine

To describe: The golden ratio of each objects.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:The table of golden ratio of three objects.

  ObjectLongWideRatioDNA34211.619:1Petals55341.168:1Face321.5:1

In 3rd column the ratios are almost similar to golden ratio 1.168:1

All ratio closer to golden ratio.

(b)

To determine

To find: The other example of golden rectangle is used in architecture.

(b)

Expert Solution
Check Mark

Answer to Problem 19HP

The pyramid of Khufu in Giza, Egypt.

The taj Mahal in India.

The Lincon Memorial in Washington, D.C.

Explanation of Solution

Given: The table of golden ratio of three objects.

  ObjectLongWideRatioDNA34211.619:1Petals55341.168:1Face321.5:1

The pyramid of Khufu in Giza, Egypt.

The taj Mahal in India.

The Lincon Memorial in Washington, D.C.

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Chapter 6.4, Problem 18HP
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Chapter 6.4, Problem 20HP

Chapter 6 Solutions

Pre-Algebra Student Edition

Ch. 6.1 - Prob. 1GPCh. 6.1 - Prob. 2GPCh. 6.1 - Prob. 3GPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYU
Ch. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33HPCh. 6.1 - Prob. 34HPCh. 6.1 - Prob. 35HPCh. 6.1 - Prob. 36HPCh. 6.1 - Prob. 37HPCh. 6.1 - Prob. 38HPCh. 6.1 - Prob. 39STPCh. 6.1 - Prob. 40STPCh. 6.1 - Prob. 41STPCh. 6.1 - Prob. 42STPCh. 6.1 - Prob. 43SRCh. 6.1 - Prob. 44SRCh. 6.1 - Prob. 45SRCh. 6.1 - Prob. 46SRCh. 6.1 - Prob. 47SRCh. 6.1 - Prob. 48SRCh. 6.1 - Prob. 49SRCh. 6.1 - Prob. 50SRCh. 6.1 - Prob. 51SRCh. 6.1 - Prob. 52SRCh. 6.1 - Prob. 53SRCh. 6.1 - Prob. 54SRCh. 6.1 - Prob. 55SRCh. 6.1 - Prob. 56SRCh. 6.1 - Prob. 57SCh. 6.1 - Prob. 58SCh. 6.1 - Prob. 59SCh. 6.1 - Prob. 60SCh. 6.2 - Prob. 1AGPCh. 6.2 - Prob. 1BGPCh. 6.2 - Prob. 2GPCh. 6.2 - Prob. 3GPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26HPCh. 6.2 - Prob. 27HPCh. 6.2 - Prob. 28HPCh. 6.2 - Prob. 29HPCh. 6.2 - Prob. 30HPCh. 6.2 - Prob. 31STPCh. 6.2 - Prob. 32STPCh. 6.2 - Prob. 33STPCh. 6.2 - Prob. 34STPCh. 6.2 - Prob. 35SRCh. 6.2 - Prob. 36SRCh. 6.2 - Prob. 37SRCh. 6.2 - Prob. 38SRCh. 6.2 - Prob. 39SRCh. 6.2 - Prob. 40SRCh. 6.2 - Prob. 41SRCh. 6.2 - Prob. 42SCh. 6.2 - Prob. 43SCh. 6.2 - Prob. 44SCh. 6.2 - Prob. 45SCh. 6.2 - Prob. 46SCh. 6.2 - Prob. 47SCh. 6.3 - Prob. 1GPCh. 6.3 - Prob. 2GPCh. 6.3 - Prob. 3AGPCh. 6.3 - Prob. 3BGPCh. 6.3 - Prob. 3CGPCh. 6.3 - Prob. 4GPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7CYUCh. 6.3 - Prob. 8CYUCh. 6.3 - Prob. 9CYUCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34PPSCh. 6.3 - Prob. 35PPSCh. 6.3 - Prob. 36PPSCh. 6.3 - Prob. 37PPSCh. 6.3 - Prob. 38PPSCh. 6.3 - Prob. 39PPSCh. 6.3 - Prob. 40PPSCh. 6.3 - Prob. 41PPSCh. 6.3 - Prob. 42PPSCh. 6.3 - Prob. 43PPSCh. 6.3 - Prob. 44PPSCh. 6.3 - Prob. 45HPCh. 6.3 - Prob. 46HPCh. 6.3 - Prob. 47HPCh. 6.3 - Prob. 48HPCh. 6.3 - Prob. 49HPCh. 6.3 - Prob. 50HPCh. 6.3 - Prob. 51STPCh. 6.3 - Prob. 52STPCh. 6.3 - Prob. 53STPCh. 6.3 - Prob. 54STPCh. 6.3 - Prob. 55SRCh. 6.3 - Prob. 56SRCh. 6.3 - Prob. 57SRCh. 6.3 - Prob. 58SRCh. 6.3 - Prob. 59SRCh. 6.3 - Prob. 60SRCh. 6.3 - Prob. 61SRCh. 6.3 - Prob. 62SRCh. 6.3 - Prob. 63SRCh. 6.3 - Prob. 64SRCh. 6.3 - Prob. 65SRCh. 6.3 - Prob. 66SRCh. 6.3 - Prob. 67SRCh. 6.3 - Prob. 68SRCh. 6.3 - Prob. 69SRCh. 6.3 - Prob. 70SRCh. 6.3 - Prob. 71SCh. 6.3 - Prob. 72SCh. 6.3 - Prob. 73SCh. 6.3 - Prob. 74SCh. 6.4 - Prob. 1GPCh. 6.4 - Prob. 2GPCh. 6.4 - Prob. 3GPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4PPSCh. 6.4 - Prob. 5PPSCh. 6.4 - Prob. 6PPSCh. 6.4 - Prob. 7PPSCh. 6.4 - Prob. 8PPSCh. 6.4 - Prob. 9PPSCh. 6.4 - Prob. 10PPSCh. 6.4 - Prob. 11PPSCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17HPCh. 6.4 - Prob. 18HPCh. 6.4 - Prob. 19HPCh. 6.4 - Prob. 20HPCh. 6.4 - Prob. 21STPCh. 6.4 - Prob. 22STPCh. 6.4 - Prob. 23STPCh. 6.4 - Prob. 24STPCh. 6.4 - Prob. 25SRCh. 6.4 - Prob. 26SRCh. 6.4 - Prob. 27SRCh. 6.4 - Prob. 28SRCh. 6.4 - Prob. 29SRCh. 6.4 - Prob. 30SRCh. 6.4 - Prob. 31SRCh. 6.4 - Prob. 32SRCh. 6.4 - Prob. 33SRCh. 6.4 - Prob. 34SRCh. 6.4 - Prob. 35SCh. 6.4 - Prob. 36SCh. 6.4 - Prob. 37SCh. 6.4 - Prob. 38SCh. 6.4 - Prob. 39SCh. 6.4 - Prob. 40SCh. 6.5 - Prob. 1AGPCh. 6.5 - Prob. 1BGPCh. 6.5 - Prob. 1CGPCh. 6.5 - Prob. 1DGPCh. 6.5 - Prob. 2GPCh. 6.5 - Prob. 3AGPCh. 6.5 - Prob. 3BGPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7CYUCh. 6.5 - Prob. 8CYUCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23PPSCh. 6.5 - Prob. 24PPSCh. 6.5 - Prob. 25PPSCh. 6.5 - Prob. 26PPSCh. 6.5 - Prob. 27PPSCh. 6.5 - Prob. 28PPSCh. 6.5 - Prob. 29PPSCh. 6.5 - Prob. 30PPSCh. 6.5 - Prob. 31PPSCh. 6.5 - Prob. 32PPSCh. 6.5 - Prob. 33PPSCh. 6.5 - Prob. 34PPSCh. 6.5 - Prob. 35PPSCh. 6.5 - Prob. 36PPSCh. 6.5 - Prob. 37PPSCh. 6.5 - Prob. 38HPCh. 6.5 - Prob. 39HPCh. 6.5 - Prob. 40HPCh. 6.5 - Prob. 41HPCh. 6.5 - Prob. 42HPCh. 6.5 - Prob. 43HPCh. 6.5 - Prob. 44STPCh. 6.5 - Prob. 45STPCh. 6.5 - Prob. 46STPCh. 6.5 - Prob. 47STPCh. 6.5 - Prob. 48SRCh. 6.5 - Prob. 49SRCh. 6.5 - Prob. 50SRCh. 6.5 - Prob. 51SRCh. 6.5 - Prob. 52SRCh. 6.5 - Prob. 53SCh. 6.5 - Prob. 54SCh. 6.5 - Prob. 55SCh. 6.5 - Prob. 56SCh. 6.6 - Prob. 1GPCh. 6.6 - Prob. 2GPCh. 6.6 - Prob. 3GPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4PPSCh. 6.6 - Prob. 5PPSCh. 6.6 - Prob. 6PPSCh. 6.6 - Prob. 7PPSCh. 6.6 - Prob. 8PPSCh. 6.6 - Prob. 9PPSCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19HPCh. 6.6 - Prob. 20HPCh. 6.6 - Prob. 21HPCh. 6.6 - Prob. 22HPCh. 6.6 - Prob. 23HPCh. 6.6 - Prob. 24HPCh. 6.6 - Prob. 25STPCh. 6.6 - Prob. 26STPCh. 6.6 - Prob. 27STPCh. 6.6 - Prob. 28STPCh. 6.6 - Prob. 29SRCh. 6.6 - Prob. 30SRCh. 6.6 - Prob. 31SRCh. 6.6 - Prob. 32SRCh. 6.6 - Prob. 33SRCh. 6.6 - Prob. 34SRCh. 6.6 - Prob. 35SRCh. 6.6 - Prob. 36SRCh. 6.6 - Prob. 37SCh. 6.6 - Prob. 38SCh. 6.6 - Prob. 39SCh. 6.6 - Prob. 40SCh. 6.6 - Prob. 41SCh. 6.6 - Prob. 42SCh. 6.7 - Prob. 1AGPCh. 6.7 - Prob. 1BGPCh. 6.7 - Prob. 2GPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4PPSCh. 6.7 - Prob. 5PPSCh. 6.7 - Prob. 6PPSCh. 6.7 - Prob. 7PPSCh. 6.7 - Prob. 8PPSCh. 6.7 - Prob. 9PPSCh. 6.7 - Prob. 10PPSCh. 6.7 - Prob. 11PPSCh. 6.7 - Prob. 12PPSCh. 6.7 - Prob. 13PPSCh. 6.7 - Prob. 14PPSCh. 6.7 - Prob. 15PPSCh. 6.7 - Prob. 16HPCh. 6.7 - Prob. 17HPCh. 6.7 - Prob. 18HPCh. 6.7 - Prob. 19HPCh. 6.7 - Prob. 20HPCh. 6.7 - Prob. 21HPCh. 6.7 - Prob. 22STPCh. 6.7 - Prob. 23STPCh. 6.7 - Prob. 24STPCh. 6.7 - Prob. 25STPCh. 6.7 - Prob. 26SRCh. 6.7 - Prob. 27SRCh. 6.7 - Prob. 28SRCh. 6.7 - Prob. 29SCh. 6.7 - Prob. 30SCh. 6.7 - Prob. 31SCh. 6.7 - Prob. 32SCh. 6.8 - Prob. 1GPCh. 6.8 - Prob. 2GPCh. 6.8 - Prob. 3GPCh. 6.8 - Prob. 1CYUCh. 6.8 - Prob. 2CYUCh. 6.8 - Prob. 3CYUCh. 6.8 - Prob. 4CYUCh. 6.8 - Prob. 5PPSCh. 6.8 - Prob. 6PPSCh. 6.8 - Prob. 7PPSCh. 6.8 - Prob. 8PPSCh. 6.8 - Prob. 9PPSCh. 6.8 - Prob. 10PPSCh. 6.8 - Prob. 11PPSCh. 6.8 - Prob. 12PPSCh. 6.8 - Prob. 13PPSCh. 6.8 - Prob. 14PPSCh. 6.8 - Prob. 15PPSCh. 6.8 - Prob. 16PPSCh. 6.8 - Prob. 17PPSCh. 6.8 - Prob. 18PPSCh. 6.8 - Prob. 19HPCh. 6.8 - Prob. 20HPCh. 6.8 - Prob. 21HPCh. 6.8 - Prob. 22HPCh. 6.8 - Prob. 23HPCh. 6.8 - Prob. 24HPCh. 6.8 - Prob. 25STPCh. 6.8 - Prob. 26STPCh. 6.8 - Prob. 27STPCh. 6.8 - Prob. 28STPCh. 6.8 - Prob. 29SRCh. 6.8 - Prob. 30SRCh. 6.8 - Prob. 31SRCh. 6.8 - Prob. 32SRCh. 6.8 - Prob. 33SCh. 6.8 - Prob. 34SCh. 6.8 - Prob. 35SCh. 6.8 - Prob. 36SCh. 6.9 - Prob. 1GPCh. 6.9 - Prob. 2GPCh. 6.9 - Prob. 1CYUCh. 6.9 - Prob. 2CYUCh. 6.9 - Prob. 3PPSCh. 6.9 - Prob. 4PPSCh. 6.9 - Prob. 5PPSCh. 6.9 - Prob. 6PPSCh. 6.9 - Prob. 7PPSCh. 6.9 - Prob. 8PPSCh. 6.9 - Prob. 9PPSCh. 6.9 - Prob. 10PPSCh. 6.9 - Prob. 11PPSCh. 6.9 - Prob. 12PPSCh. 6.9 - Prob. 13PPSCh. 6.9 - Prob. 14PPSCh. 6.9 - Prob. 15HPCh. 6.9 - Prob. 16HPCh. 6.9 - Prob. 17HPCh. 6.9 - Prob. 18HPCh. 6.9 - Prob. 19STPCh. 6.9 - Prob. 20STPCh. 6.9 - Prob. 21STPCh. 6.9 - Prob. 22STPCh. 6.9 - Prob. 23SRCh. 6.9 - Prob. 24SRCh. 6.9 - Prob. 25SRCh. 6.9 - Prob. 26SCh. 6.9 - Prob. 27SCh. 6.9 - Prob. 28SCh. 6.9 - Prob. 29SCh. 6 - Prob. 1QCCh. 6 - Prob. 2QCCh. 6 - Prob. 3QCCh. 6 - Prob. 4QCCh. 6 - Prob. 5QCCh. 6 - Prob. 6QCCh. 6 - Prob. 7QCCh. 6 - Prob. 8QCCh. 6 - Prob. 9QCCh. 6 - Prob. 10QCCh. 6 - Prob. 11QCCh. 6 - Prob. 12QCCh. 6 - Prob. 13QCCh. 6 - Prob. 14QCCh. 6 - Prob. 15QCCh. 6 - Prob. 16QCCh. 6 - Prob. 17QCCh. 6 - Prob. 18QCCh. 6 - Prob. 19QCCh. 6 - Prob. 20QCCh. 6 - Prob. 21QCCh. 6 - Prob. 22QCCh. 6 - Prob. 23QCCh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - Prob. 3MCQCh. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - Prob. 15MCQCh. 6 - Prob. 16MCQCh. 6 - Prob. 17MCQCh. 6 - Prob. 18MCQCh. 6 - Prob. 19MCQCh. 6 - Prob. 20MCQCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3ECh. 6 - Prob. 4ECh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 8STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STP

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