Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
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Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter SH, Problem 8.9.1EP

(a)

To determine

To calculate: To make a scatter plot of the computer sales and draw a line of fit

(a)

Expert Solution
Check Mark

Answer to Problem 8.9.1EP

The scatter plot is created and line of fit is drawn

Explanation of Solution

Given information: Table showing the amount of sales of computers in U.S

    Year Computer Sales ($ billion)
    1990 8.9
    1994 18.0
    1996 23.6
    1998 28.6
    2000 35.1

Calculation:

Given the table showing the amount of sales of computer in U.S

    Year Computer Sales ($ billion)
    1990 8.9
    1994 18.0
    1996 23.6
    1998 28.6
    2000 35.1

On plotting the points on graph and the line of fit is as follows:

  Pre-Algebra, Student Edition, Chapter SH, Problem 8.9.1EP , additional homework tip 1

Conclusion:

Hence, scatter plot is created and line of fit is drawn

(a)

To determine

To calculate: To estimate the computer sales in 2010

(a)

Expert Solution
Check Mark

Answer to Problem 8.9.1EP

Computer sales in 2010 is 60.4 billion dollars.

Explanation of Solution

Given information: Table showing the amount of sales of computers in U.S

    Year Computer Sales ($ billion)
    1990 8.9
    1994 18.0
    1996 23.6
    1998 28.6
    2000 35.1

Calculation:

Given the table showing the amount of sales of computer in U.S

    Year Computer Sales ($ billion)
    1990 8.9
    1994 18.0
    1996 23.6
    1998 28.6
    2000 35.1

On plotting the points on graph and the line of fit is as follows:

  Pre-Algebra, Student Edition, Chapter SH, Problem 8.9.1EP , additional homework tip 2

From the graph,

Sales in 2010 =60.4

Conclusion:

Hence, Computer sales in 2010 is 60.4 billion dollars.

(c)

To determine

To calculate: To write the equation in slope-intercept form

(c)

Expert Solution
Check Mark

Answer to Problem 8.9.1EP

Equation in slope-intercept form is y=2.65x−5266.1

Explanation of Solution

Given information: Points on line are (1994,18.0) and (1998,28.6)

Formula Used:

Slope intercept form of line is y=mx+c , where

  m= Slope of graph of equation

  c= y-intercept of graph of equation

Equation of line passing through the points given as

  y−y1=y2−y1x2−x1(x−x1)

Calculation:

Given the points on line are (1994,18.0) and (1998,28.6)

Equation of line passing through the points given as

  y−y1=y2−y1x2−x1(x−x1)

Substituting the values,

  y−18=28.6−181998−1994(x−1994)y−18=10.64(x−1994)y−18=2.65(x−1994)y−18=2.65x−5284.1y=2.65x−5266.1

Conclusion:

Hence, equation in slope-intercept form is y=2.65x−5266.1

(d)

To determine

To calculate: To find the amount of computer sales in 2020

(d)

Expert Solution
Check Mark

Answer to Problem 8.9.1EP

The computer sales in 2020 is 86.9 billion dollars.

Explanation of Solution

Given information: Points on line are (1994,18.0) and (1998,28.6)

Formula Used:

Slope intercept form of line is y=mx+c , where

  m= Slope of graph of equation

  c= y-intercept of graph of equation

Equation of line passing through the points given as

  y−y1=y2−y1x2−x1(x−x1)

Calculation:

Given the points on line are (1994,18.0) and (1998,28.6)

Equation of line passing through the points given as

  y=2.65x−5266.1

In order to calculate the computer sales in 2020 , substitute x=2020 in above equation,

  y=2.65(2020)−5266.1y=5353−5266.1y=86.9

Conclusion:

Hence, computer sales in 2020 is 86.9 billion dollars.

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Chapter SH Solutions

Pre-Algebra, Student Edition

Ch. SH - Prob. 1.1.1EPCh. SH - Prob. 1.1.2EPCh. SH - Prob. 1.1.3EPCh. SH - Prob. 1.1.4EPCh. SH - Prob. 1.1.5EPCh. SH - Prob. 1.1.6EPCh. SH - Prob. 1.1.7EPCh. SH - Prob. 1.1.8EPCh. SH - Prob. 1.1.9EPCh. SH - Prob. 1.1.10EP
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SH - Prob. 5.2.14EPCh. SH - Prob. 5.2.15EPCh. SH - Prob. 5.2.16EPCh. SH - Prob. 5.3.1EPCh. SH - Prob. 5.3.2EPCh. SH - Prob. 5.3.3EPCh. SH - Prob. 5.3.4EPCh. SH - Prob. 5.3.5EPCh. SH - Prob. 5.3.6EPCh. SH - Prob. 5.3.7EPCh. SH - Prob. 5.3.8EPCh. SH - Prob. 5.3.9EPCh. SH - Prob. 5.3.10EPCh. SH - Prob. 5.3.11EPCh. SH - Prob. 5.3.12EPCh. SH - Prob. 5.3.13EPCh. SH - Prob. 5.3.14EPCh. SH - Prob. 5.3.15EPCh. SH - Prob. 5.3.16EPCh. SH - Prob. 5.3.17EPCh. SH - Prob. 5.3.18EPCh. SH - Prob. 5.4.1EPCh. SH - Prob. 5.4.2EPCh. SH - Prob. 5.4.3EPCh. SH - Prob. 5.4.4EPCh. SH - Prob. 5.4.5EPCh. SH - Prob. 5.4.6EPCh. SH - Prob. 5.4.7EPCh. SH - Prob. 5.4.8EPCh. SH - Prob. 5.4.9EPCh. SH - Prob. 5.4.10EPCh. SH - Prob. 5.4.11EPCh. SH - Prob. 5.4.12EPCh. SH - Prob. 5.4.13EPCh. SH - Prob. 5.4.14EPCh. SH - Prob. 5.4.15EPCh. SH - Prob. 5.4.16EPCh. SH - Prob. 5.4.17EPCh. SH - Prob. 5.4.18EPCh. SH - Prob. 5.4.19EPCh. SH - Prob. 5.4.20EPCh. SH - Prob. 5.4.21EPCh. SH - Prob. 5.4.22EPCh. SH - Prob. 5.4.23EPCh. SH - Prob. 5.4.24EPCh. SH - Prob. 5.4.25EPCh. SH - Prob. 5.5.1EPCh. SH - Prob. 5.5.2EPCh. SH - Prob. 5.5.3EPCh. SH - Prob. 5.5.4EPCh. SH - Prob. 5.5.5EPCh. SH - Prob. 5.5.6EPCh. SH - Prob. 5.5.7EPCh. SH - Prob. 5.5.8EPCh. SH - Prob. 5.5.9EPCh. SH - Prob. 5.5.10EPCh. SH - Prob. 5.5.11EPCh. SH - Prob. 5.5.12EPCh. SH - Prob. 5.5.13EPCh. SH - Prob. 5.5.14EPCh. SH - Prob. 5.5.15EPCh. SH - Prob. 5.5.16EPCh. SH - Prob. 5.5.17EPCh. SH - Prob. 5.5.18EPCh. SH - Prob. 6.1.1EPCh. SH - Prob. 6.1.2EPCh. SH - Prob. 6.1.3EPCh. SH - Prob. 6.1.4EPCh. SH - Prob. 6.1.5EPCh. SH - Prob. 6.1.6EPCh. SH - Prob. 6.1.7EPCh. SH - Prob. 6.1.8EPCh. SH - Prob. 6.1.9EPCh. SH - Prob. 6.1.10EPCh. SH - Prob. 6.2.1EPCh. SH - Prob. 6.2.2EPCh. SH - Prob. 6.2.3EPCh. SH - Prob. 6.2.4EPCh. SH - Prob. 6.2.5EPCh. SH - Prob. 6.2.6EPCh. SH - Prob. 6.2.7EPCh. SH - Prob. 6.2.8EPCh. SH - Prob. 6.2.9EPCh. SH - Prob. 6.2.10EPCh. SH - Prob. 6.3.1EPCh. SH - Prob. 6.3.2EPCh. SH - Prob. 6.3.3EPCh. SH - Prob. 6.3.4EPCh. SH - Prob. 6.3.5EPCh. SH - Prob. 6.3.6EPCh. SH - Prob. 6.3.7EPCh. SH - Prob. 6.3.8EPCh. SH - Prob. 6.3.9EPCh. SH - Prob. 6.3.10EPCh. SH - Prob. 6.3.11EPCh. SH - Prob. 6.3.12EPCh. SH - Prob. 6.3.13EPCh. SH - Prob. 6.3.14EPCh. SH - Prob. 6.3.15EPCh. SH - Prob. 6.3.16EPCh. SH - Prob. 6.4.1EPCh. SH - Prob. 6.4.2EPCh. SH - Prob. 6.4.3EPCh. SH - Prob. 6.4.4EPCh. SH - Prob. 6.4.5EPCh. SH - Prob. 6.4.6EPCh. SH - Prob. 6.4.7EPCh. SH - Prob. 6.4.8EPCh. SH - Prob. 6.5.1EPCh. SH - Prob. 6.5.2EPCh. SH - Prob. 6.5.3EPCh. SH - Prob. 6.5.4EPCh. SH - Prob. 6.5.5EPCh. SH - Prob. 6.5.6EPCh. SH - Prob. 6.5.7EPCh. SH - Prob. 6.5.8EPCh. SH - Prob. 6.5.9EPCh. SH - Prob. 6.5.10EPCh. SH - Prob. 6.5.11EPCh. SH - Prob. 6.5.12EPCh. SH - Prob. 6.5.13EPCh. SH - Prob. 6.5.14EPCh. SH - Prob. 6.5.15EPCh. SH - Prob. 6.6.1EPCh. SH - Prob. 6.6.2EPCh. SH - Prob. 6.6.3EPCh. SH - Prob. 6.6.4EPCh. SH - Prob. 6.6.5EPCh. SH - Prob. 6.6.6EPCh. SH - Prob. 6.7.1EPCh. SH - Prob. 6.7.2EPCh. SH - Prob. 6.7.3EPCh. SH - Prob. 6.7.4EPCh. SH - Prob. 6.8.1EPCh. SH - Prob. 6.8.2EPCh. SH - Prob. 6.8.3EPCh. SH - Prob. 6.9.1EPCh. SH - Prob. 6.9.2EPCh. SH - Prob. 6.9.3EPCh. SH - Prob. 7.1.1EPCh. SH - Prob. 7.1.2EPCh. SH - Prob. 7.1.3EPCh. SH - Prob. 7.1.4EPCh. SH - Prob. 7.1.5EPCh. SH - Prob. 7.1.6EPCh. SH - Prob. 7.1.7EPCh. SH - Prob. 7.1.8EPCh. SH - Prob. 7.1.9EPCh. SH - Prob. 7.1.10EPCh. SH - Prob. 7.1.11EPCh. SH - Prob. 7.1.12EPCh. SH - Prob. 7.1.13EPCh. SH - Prob. 7.1.14EPCh. SH - Prob. 7.1.15EPCh. SH - Prob. 7.1.16EPCh. SH - Prob. 7.1.17EPCh. SH - Prob. 7.1.18EPCh. SH - Prob. 7.1.19EPCh. SH - Prob. 7.1.20EPCh. SH - Prob. 7.1.21EPCh. SH - Prob. 7.2.1EPCh. SH - Prob. 7.2.2EPCh. SH - Prob. 7.2.3EPCh. SH - Prob. 7.2.4EPCh. SH - Prob. 7.2.5EPCh. SH - Prob. 7.2.6EPCh. SH - Prob. 7.2.7EPCh. SH - Prob. 7.2.8EPCh. SH - Prob. 7.2.9EPCh. SH - Prob. 7.2.10EPCh. SH - Prob. 7.2.11EPCh. SH - Prob. 7.2.12EPCh. SH - Prob. 7.2.13EPCh. SH - Prob. 7.3.1EPCh. SH - Prob. 7.3.2EPCh. SH - Prob. 7.3.3EPCh. SH - Prob. 7.3.4EPCh. SH - Prob. 7.3.5EPCh. SH - Prob. 7.3.6EPCh. SH - Prob. 7.3.7EPCh. SH - Prob. 7.3.8EPCh. SH - Prob. 7.3.9EPCh. SH - Prob. 7.3.10EPCh. SH - Prob. 7.3.11EPCh. SH - Prob. 7.3.12EPCh. SH - Prob. 7.3.13EPCh. SH - Prob. 7.3.14EPCh. SH - Prob. 7.4.1EPCh. SH - Prob. 7.4.2EPCh. SH - Prob. 7.4.3EPCh. SH - Prob. 7.4.4EPCh. SH - Prob. 7.4.5EPCh. SH - Prob. 7.4.6EPCh. SH - Prob. 7.4.7EPCh. SH - Prob. 7.4.8EPCh. SH - Prob. 7.4.9EPCh. SH - Prob. 7.4.10EPCh. SH - Prob. 7.4.11EPCh. SH - Prob. 7.4.12EPCh. SH - Prob. 7.4.13EPCh. SH - Prob. 7.4.14EPCh. SH - Prob. 7.5.1EPCh. SH - Prob. 7.5.2EPCh. SH - Prob. 7.5.3EPCh. SH - Prob. 7.5.4EPCh. SH - Prob. 7.5.5EPCh. SH - Prob. 7.5.6EPCh. SH - Prob. 7.5.7EPCh. SH - Prob. 7.5.8EPCh. SH - Prob. 7.5.9EPCh. SH - Prob. 7.5.10EPCh. SH - Prob. 7.5.11EPCh. SH - Prob. 7.5.12EPCh. SH - Prob. 7.5.13EPCh. SH - Prob. 7.5.14EPCh. SH - Prob. 7.5.15EPCh. SH - Prob. 7.5.16EPCh. SH - Prob. 7.6.1EPCh. SH - Prob. 7.6.2EPCh. SH - Prob. 7.6.3EPCh. SH - Prob. 7.6.4EPCh. SH - Prob. 7.6.5EPCh. SH - Prob. 7.6.6EPCh. SH - Prob. 7.6.7EPCh. SH - Prob. 7.6.8EPCh. SH - Prob. 7.6.9EPCh. SH - Prob. 7.6.10EPCh. SH - Prob. 7.6.11EPCh. SH - Prob. 7.7.1EPCh. SH - Prob. 7.7.2EPCh. SH - Prob. 7.7.3EPCh. SH - Prob. 7.7.4EPCh. SH - Prob. 7.7.5EPCh. SH - Prob. 7.7.6EPCh. SH - Prob. 7.7.7EPCh. SH - Prob. 7.7.8EPCh. SH - Prob. 7.7.9EPCh. SH - Prob. 7.7.10EPCh. SH - Prob. 7.7.11EPCh. SH - Prob. 7.7.12EPCh. SH - Prob. 7.7.13EPCh. SH - Prob. 7.7.14EPCh. SH - Prob. 7.7.15EPCh. SH - Prob. 7.8.1EPCh. SH - Prob. 7.8.2EPCh. SH - Prob. 7.8.3EPCh. SH - Prob. 8.1.1EPCh. SH - Prob. 8.1.2EPCh. SH - Prob. 8.1.3EPCh. SH - Prob. 8.1.4EPCh. SH - Prob. 8.1.5EPCh. SH - Prob. 8.1.6EPCh. SH - Prob. 8.1.7EPCh. SH - Prob. 8.1.8EPCh. SH - Prob. 8.1.9EPCh. SH - Prob. 8.1.10EPCh. SH - Prob. 8.1.11EPCh. SH - Prob. 8.1.12EPCh. SH - Prob. 8.2.1EPCh. SH - Prob. 8.2.2EPCh. SH - Prob. 8.2.3EPCh. SH - Prob. 8.2.4EPCh. SH - Prob. 8.2.5EPCh. SH - Prob. 8.2.6EPCh. SH - Prob. 8.2.7EPCh. SH - Prob. 8.2.8EPCh. SH - Prob. 8.2.9EPCh. SH - Prob. 8.2.10EPCh. SH - Prob. 8.2.11EPCh. SH - Prob. 8.2.12EPCh. SH - Prob. 8.2.13EPCh. SH - Prob. 8.2.14EPCh. SH - Prob. 8.3.1EPCh. SH - Prob. 8.3.2EPCh. SH - Prob. 8.3.3EPCh. SH - Prob. 8.3.4EPCh. SH - Prob. 8.3.5EPCh. SH - Prob. 8.3.6EPCh. SH - Prob. 8.3.7EPCh. SH - Prob. 8.3.8EPCh. SH - Prob. 8.3.9EPCh. SH - Prob. 8.3.10EPCh. SH - Prob. 8.3.11EPCh. SH - Prob. 8.3.12EPCh. SH - Prob. 8.3.13EPCh. SH - Prob. 8.3.14EPCh. SH - Prob. 8.3.15EPCh. SH - Prob. 8.3.16EPCh. SH - Prob. 8.3.17EPCh. SH - Prob. 8.3.18EPCh. SH - Prob. 8.4.1EPCh. SH - Prob. 8.4.2EPCh. SH - Prob. 8.4.3EPCh. SH - Prob. 8.4.4EPCh. SH - Prob. 8.5.1EPCh. SH - Prob. 8.5.2EPCh. SH - Prob. 8.5.3EPCh. SH - Prob. 8.6.1EPCh. SH - Prob. 8.6.2EPCh. SH - Prob. 8.6.3EPCh. SH - Prob. 8.6.4EPCh. SH - Prob. 8.6.5EPCh. SH - Prob. 8.6.6EPCh. SH - Prob. 8.7.1EPCh. SH - Prob. 8.7.2EPCh. SH - Prob. 8.7.3EPCh. SH - Prob. 8.7.4EPCh. SH - Prob. 8.7.5EPCh. SH - Prob. 8.7.6EPCh. SH - Prob. 8.7.7EPCh. SH - Prob. 8.7.8EPCh. SH - Prob. 8.7.9EPCh. SH - Prob. 8.7.10EPCh. SH - Prob. 8.7.11EPCh. SH - Prob. 8.7.12EPCh. SH - Prob. 8.8.1EPCh. SH - Prob. 8.8.2EPCh. SH - Prob. 8.8.3EPCh. SH - Prob. 8.8.4EPCh. SH - Prob. 8.8.5EPCh. SH - Prob. 8.8.6EPCh. SH - Prob. 8.8.7EPCh. SH - Prob. 8.8.8EPCh. SH - Prob. 8.8.9EPCh. SH - Prob. 8.8.10EPCh. SH - Prob. 8.9.1EPCh. SH - Prob. 8.9.2EPCh. SH - Prob. 8.9.3EPCh. SH - Prob. 8.10.1EPCh. SH - Prob. 8.10.2EPCh. SH - Prob. 8.10.3EPCh. SH - Prob. 8.10.4EPCh. SH - Prob. 8.10.5EPCh. SH - Prob. 8.10.6EPCh. SH - Prob. 8.10.7EPCh. SH - Prob. 8.10.8EPCh. SH - Prob. 9.1.1EPCh. SH - Prob. 9.1.2EPCh. SH - Prob. 9.1.3EPCh. SH - Prob. 9.1.4EPCh. SH - Prob. 9.1.5EPCh. SH - Prob. 9.1.6EPCh. SH - Prob. 9.1.7EPCh. SH - Prob. 9.1.8EPCh. SH - Prob. 9.1.9EPCh. SH - Prob. 9.1.10EPCh. SH - Prob. 9.1.11EPCh. SH - Prob. 9.1.12EPCh. SH - Prob. 9.1.13EPCh. SH - Prob. 9.1.14EPCh. SH - Prob. 9.1.15EPCh. SH - Prob. 9.1.16EPCh. SH - Prob. 9.1.17EPCh. SH - Prob. 9.1.18EPCh. SH - Prob. 9.1.19EPCh. SH - Prob. 9.1.20EPCh. SH - Prob. 9.1.21EPCh. SH - Prob. 9.1.22EPCh. SH - Prob. 9.1.23EPCh. SH - Prob. 9.1.24EPCh. SH - Prob. 9.2.1EPCh. SH - Prob. 9.2.2EPCh. SH - Prob. 9.2.3EPCh. SH - Prob. 9.2.4EPCh. SH - Prob. 9.2.5EPCh. SH - Prob. 9.2.6EPCh. SH - Prob. 9.2.7EPCh. SH - Prob. 9.2.8EPCh. SH - Prob. 9.2.9EPCh. SH - Prob. 9.2.10EPCh. SH - Prob. 9.2.11EPCh. SH - Prob. 9.2.12EPCh. SH - Prob. 9.2.13EPCh. SH - Prob. 9.2.14EPCh. SH - Prob. 9.2.15EPCh. SH - Prob. 9.2.16EPCh. SH - Prob. 9.2.17EPCh. SH - Prob. 9.2.18EPCh. SH - Prob. 9.2.19EPCh. SH - Prob. 9.2.20EPCh. SH - Prob. 9.2.21EPCh. SH - Prob. 9.2.22EPCh. SH - Prob. 9.2.23EPCh. SH - Prob. 9.2.24EPCh. SH - Prob. 9.2.25EPCh. SH - Prob. 9.2.26EPCh. SH - Prob. 9.2.27EPCh. SH - Prob. 9.2.28EPCh. SH - Prob. 9.2.29EPCh. SH - Prob. 9.3.1EPCh. SH - Prob. 9.3.2EPCh. SH - Prob. 9.3.3EPCh. SH - Prob. 9.3.4EPCh. SH - Prob. 9.3.5EPCh. SH - Prob. 9.3.6EPCh. SH - Prob. 9.3.7EPCh. SH - Prob. 9.3.8EPCh. SH - Prob. 9.3.9EPCh. SH - Prob. 9.3.10EPCh. SH - Prob. 9.3.11EPCh. SH - Prob. 9.3.12EPCh. SH - Prob. 9.3.13EPCh. SH - Prob. 9.3.14EPCh. SH - Prob. 9.3.15EPCh. SH - Prob. 9.4.1EPCh. SH - Prob. 9.4.2EPCh. SH - Prob. 9.4.3EPCh. SH - Prob. 9.4.4EPCh. SH - Prob. 9.4.5EPCh. SH - Prob. 9.4.6EPCh. SH - Prob. 9.4.7EPCh. SH - Prob. 9.4.8EPCh. SH - Prob. 9.4.9EPCh. SH - Prob. 9.4.10EPCh. SH - Prob. 9.4.11EPCh. SH - Prob. 9.4.12EPCh. SH - Prob. 9.4.13EPCh. SH - Prob. 9.4.14EPCh. SH - Prob. 9.4.15EPCh. SH - Prob. 9.4.16EPCh. SH - Prob. 9.4.17EPCh. SH - Prob. 9.4.18EPCh. SH - Prob. 9.4.19EPCh. SH - Prob. 9.4.20EPCh. SH - Prob. 9.4.21EPCh. SH - Prob. 9.4.22EPCh. SH - Prob. 9.4.23EPCh. SH - Prob. 9.4.24EPCh. SH - Prob. 9.4.25EPCh. SH - Prob. 9.4.26EPCh. SH - Prob. 9.5.1EPCh. SH - Prob. 9.5.2EPCh. SH - Prob. 9.5.3EPCh. SH - Prob. 9.5.4EPCh. SH - Prob. 9.5.5EPCh. SH - Prob. 9.5.6EPCh. SH - Prob. 9.5.7EPCh. SH - Prob. 9.5.8EPCh. SH - Prob. 9.5.9EPCh. SH - Prob. 9.5.10EPCh. SH - Prob. 9.5.11EPCh. SH - Prob. 9.5.12EPCh. SH - Prob. 9.5.13EPCh. SH - Prob. 9.5.14EPCh. SH - Prob. 9.5.15EPCh. SH - Prob. 9.5.16EPCh. SH - Prob. 9.5.17EPCh. SH - Prob. 9.5.18EPCh. SH - Prob. 9.5.19EPCh. SH - Prob. 9.5.20EPCh. SH - Prob. 9.6.1EPCh. SH - Prob. 9.6.2EPCh. SH - Prob. 9.6.3EPCh. SH - Prob. 9.6.4EPCh. SH - Prob. 9.6.5EPCh. SH - Prob. 9.6.6EPCh. SH - Prob. 9.6.7EPCh. SH - Prob. 9.6.8EPCh. SH - Prob. 9.6.9EPCh. SH - Prob. 9.6.10EPCh. SH - Prob. 9.6.11EPCh. SH - Prob. 9.6.12EPCh. SH - Prob. 9.6.13EPCh. SH - Prob. 9.6.14EPCh. SH - Prob. 9.6.15EPCh. SH - Prob. 9.6.16EPCh. SH - Prob. 9.6.17EPCh. SH - Prob. 9.7.1EPCh. SH - Prob. 9.7.2EPCh. SH - Prob. 9.7.3EPCh. SH - Prob. 9.7.4EPCh. SH - Prob. 9.7.5EPCh. SH - Prob. 9.7.6EPCh. SH - Prob. 9.7.7EPCh. SH - Prob. 9.7.8EPCh. SH - Prob. 9.7.9EPCh. SH - Prob. 9.7.10EPCh. SH - Prob. 9.7.11EPCh. SH - Prob. 9.8.1EPCh. SH - Prob. 9.8.2EPCh. SH - Prob. 9.8.3EPCh. SH - Prob. 9.8.4EPCh. SH - Prob. 9.8.5EPCh. SH - Prob. 9.8.6EPCh. SH - Prob. 9.8.7EPCh. SH - Prob. 9.8.8EPCh. SH - Prob. 9.8.9EPCh. SH - Prob. 9.8.10EPCh. SH - Prob. 9.8.11EPCh. SH - Prob. 9.8.12EPCh. SH - Prob. 9.8.13EPCh. SH - Prob. 9.8.14EPCh. SH - Prob. 9.8.15EPCh. SH - Prob. 9.9.1EPCh. SH - Prob. 9.9.2EPCh. SH - Prob. 9.9.3EPCh. SH - Prob. 9.9.4EPCh. SH - Prob. 9.9.5EPCh. SH - Prob. 9.9.6EPCh. SH - Prob. 9.9.7EPCh. SH - Prob. 9.9.8EPCh. SH - Prob. 9.9.9EPCh. SH - Prob. 9.9.10EPCh. SH - Prob. 9.9.11EPCh. SH - Prob. 9.9.12EPCh. SH - Prob. 9.9.13EPCh. SH - Prob. 9.9.14EPCh. SH - Prob. 9.9.15EPCh. SH - Prob. 10.1.1EPCh. SH - Prob. 10.1.2EPCh. SH - Prob. 10.1.3EPCh. SH - Prob. 10.1.4EPCh. SH - Prob. 10.1.5EPCh. SH - Prob. 10.1.6EPCh. SH - Prob. 10.1.7EPCh. SH - Prob. 10.1.8EPCh. SH - Prob. 10.1.9EPCh. SH - Prob. 10.1.10EPCh. SH - Prob. 10.1.11EPCh. SH - Prob. 10.1.12EPCh. SH - Prob. 10.1.13EPCh. SH - Prob. 10.1.14EPCh. SH - Prob. 10.1.15EPCh. SH - Prob. 10.1.16EPCh. SH - Prob. 10.1.17EPCh. SH - Prob. 10.1.18EPCh. SH - Prob. 10.1.19EPCh. SH - Prob. 10.1.20EPCh. SH - Prob. 10.1.21EPCh. SH - Prob. 10.1.22EPCh. SH - Prob. 10.1.23EPCh. SH - Prob. 10.1.24EPCh. SH - Prob. 10.1.25EPCh. SH - Prob. 10.1.26EPCh. SH - Prob. 10.1.27EPCh. SH - Prob. 10.2.1EPCh. SH - Prob. 10.2.2EPCh. SH - Prob. 10.2.3EPCh. SH - Prob. 10.2.4EPCh. SH - Prob. 10.2.5EPCh. SH - Prob. 10.2.6EPCh. SH - Prob. 10.2.7EPCh. SH - Prob. 10.2.8EPCh. SH - Prob. 10.2.9EPCh. SH - Prob. 10.2.10EPCh. SH - Prob. 10.2.11EPCh. SH - Prob. 10.2.12EPCh. SH - Prob. 10.2.13EPCh. SH - Prob. 10.2.14EPCh. SH - Prob. 10.2.15EPCh. SH - Prob. 10.2.16EPCh. SH - Prob. 10.2.17EPCh. SH - Prob. 10.2.18EPCh. SH - Prob. 10.2.19EPCh. SH - Prob. 10.2.20EPCh. SH - Prob. 10.2.21EPCh. SH - Prob. 10.2.22EPCh. SH - Prob. 10.3.1EPCh. SH - Prob. 10.3.2EPCh. SH - Prob. 10.3.3EPCh. SH - Prob. 10.3.4EPCh. SH - Prob. 10.3.5EPCh. SH - Prob. 10.3.6EPCh. SH - Prob. 10.3.7EPCh. SH - Prob. 10.3.8EPCh. SH - Prob. 10.3.9EPCh. SH - Prob. 10.4.1EPCh. SH - Prob. 10.4.2EPCh. SH - Prob. 10.4.3EPCh. SH - Prob. 10.4.4EPCh. SH - Prob. 10.4.5EPCh. SH - Prob. 10.4.6EPCh. SH - Prob. 10.4.7EPCh. SH - Prob. 10.4.8EPCh. SH - Prob. 10.4.9EPCh. SH - Prob. 10.5.1EPCh. SH - Prob. 10.5.2EPCh. SH - Prob. 10.5.3EPCh. SH - Prob. 10.5.4EPCh. SH - Prob. 10.5.5EPCh. SH - Prob. 10.5.6EPCh. SH - Prob. 10.5.7EPCh. SH - Prob. 10.5.8EPCh. SH - Prob. 10.5.9EPCh. SH - Prob. 10.5.10EPCh. SH - Prob. 10.6.1EPCh. SH - Prob. 10.6.2EPCh. SH - Prob. 10.6.3EPCh. SH - Prob. 10.6.5EPCh. SH - Prob. 10.6.6EPCh. SH - Prob. 11.1.1EPCh. SH - Prob. 11.1.2EPCh. SH - Prob. 11.1.3EPCh. SH - Prob. 11.1.4EPCh. SH - Prob. 11.1.5EPCh. SH - Prob. 11.1.6EPCh. SH - Prob. 11.1.7EPCh. SH - Prob. 11.1.8EPCh. SH - Prob. 11.1.9EPCh. SH - Prob. 11.2.1EPCh. SH - Prob. 11.2.2EPCh. SH - Prob. 11.2.3EPCh. SH - Prob. 11.2.4EPCh. SH - Prob. 11.3.1EPCh. SH - Prob. 11.3.2EPCh. SH - Prob. 11.3.3EPCh. SH - Prob. 11.3.4EPCh. SH - Prob. 11.4.1EPCh. SH - Prob. 11.4.2EPCh. SH - Prob. 11.4.3EPCh. SH - Prob. 11.4.4EPCh. SH - Prob. 11.5.1EPCh. SH - Prob. 11.5.2EPCh. SH - Prob. 11.5.3EPCh. SH - Prob. 11.5.4EPCh. SH - Prob. 11.5.5EPCh. SH - Prob. 11.5.6EPCh. SH - Prob. 11.5.7EPCh. SH - Prob. 11.5.8EPCh. SH - Prob. 11.6.1EPCh. SH - Prob. 11.6.2EPCh. SH - Prob. 11.6.3EPCh. SH - Prob. 11.6.4EPCh. SH - Prob. 11.6.5EPCh. SH - Prob. 11.6.6EPCh. SH - Prob. 11.7.1EPCh. SH - Prob. 11.7.2EPCh. SH - Prob. 11.7.3EPCh. SH - Prob. 11.7.4EPCh. SH - Prob. 11.7.5EPCh. SH - Prob. 11.8.1EPCh. SH - Prob. 11.8.2EPCh. SH - Prob. 11.8.3EPCh. SH - Prob. 11.8.4EPCh. SH - Prob. 11.8.5EPCh. SH - Prob. 11.9.1EPCh. SH - Prob. 11.9.2EPCh. SH - Prob. 11.9.3EPCh. SH - Prob. 11.9.4EPCh. SH - Prob. 12.1.1EPCh. SH - Prob. 12.1.2EPCh. SH - Prob. 12.1.3EPCh. SH - Prob. 12.1.4EPCh. SH - Prob. 12.1.5EPCh. SH - Prob. 12.2.1EPCh. SH - Prob. 12.2.2EPCh. SH - Prob. 12.2.3EPCh. SH - Prob. 12.2.4EPCh. SH - Prob. 12.2.5EPCh. SH - Prob. 12.3.1EPCh. SH - Prob. 12.3.2EPCh. SH - Prob. 12.3.3EPCh. SH - Prob. 12.3.4EPCh. SH - Prob. 12.3.5EPCh. SH - Prob. 12.3.6EPCh. SH - Prob. 12.3.7EPCh. SH - Prob. 12.4.1EPCh. SH - Prob. 12.4.2EPCh. SH - Prob. 12.4.3EPCh. SH - Prob. 12.4.4EPCh. SH - Prob. 12.4.5EPCh. SH - Prob. 12.4.6EPCh. SH - Prob. 12.4.7EPCh. SH - Prob. 12.4.8EPCh. SH - Prob. 12.5.1EPCh. SH - Prob. 12.5.2EPCh. SH - Prob. 12.5.3EPCh. SH - Prob. 12.5.4EPCh. SH - Prob. 12.5.5EPCh. SH - Prob. 12.5.6EPCh. SH - Prob. 12.6.1EPCh. SH - Prob. 12.6.2EPCh. SH - Prob. 12.6.3EPCh. SH - Prob. 12.6.4EPCh. SH - Prob. 12.6.5EPCh. SH - Prob. 12.6.6EPCh. SH - Prob. 12.6.7EPCh. SH - Prob. 12.6.8EPCh. SH - Prob. 12.7.1EPCh. SH - Prob. 12.7.2EPCh. SH - Prob. 12.7.3EPCh. SH - Prob. 12.7.4EPCh. SH - Prob. 12.7.5EPCh. SH - Prob. 12.7.6EPCh. SH - Prob. 12.7.7EPCh. SH - Prob. 12.8.1EPCh. SH - Prob. 12.8.2EPCh. SH - Prob. 12.8.3EPCh. SH - Prob. 12.8.4EPCh. SH - Prob. 13.1.1EPCh. SH - Prob. 13.1.2EPCh. SH - Prob. 13.1.3EPCh. SH - Prob. 13.1.4EPCh. SH - Prob. 13.1.5EPCh. SH - Prob. 13.2.1EPCh. SH - Prob. 13.2.2EPCh. SH - Prob. 13.2.3EPCh. SH - Prob. 13.2.4EPCh. SH - Prob. 13.2.5EPCh. SH - Prob. 13.3.1EPCh. SH - Prob. 13.3.2EPCh. SH - Prob. 13.3.3EPCh. SH - Prob. 13.3.4EPCh. SH - Prob. 13.4.1EPCh. SH - Prob. 13.4.2EPCh. SH - Prob. 13.4.3EPCh. SH - Prob. 13.5.1EPCh. SH - Prob. 13.5.2EPCh. SH - Prob. 13.6.1EPCh. SH - Prob. 13.6.2EPCh. SH - Prob. 13.6.3EPCh. SH - Prob. 13.6.4EPCh. SH - Prob. 13.6.5EPCh. SH - Prob. 13.6.6EPCh. SH - Prob. 13.6.7EPCh. SH - Prob. 13.6.8EPCh. SH - Prob. 13.6.9EPCh. SH - Prob. 13.6.10EPCh. SH - Prob. 13.6.11EPCh. SH - Prob. 13.6.12EPCh. SH - Prob. 13.7.1EPCh. SH - Prob. 13.7.2EPCh. SH - Prob. 13.7.3EPCh. SH - Prob. 13.7.4EPCh. SH - Prob. 13.8.1EPCh. SH - Prob. 13.8.2EPCh. SH - Prob. 13.8.3EPCh. SH - Prob. 13.8.4EPCh. SH - Prob. 13.8.5EPCh. SH - Prob. 13.8.6EPCh. SH - Prob. 13.9.1EPCh. SH - Prob. 13.9.2EPCh. SH - Prob. 13.9.3EPCh. SH - Prob. 13.9.4EPCh. SH - Prob. 13.9.5EPCh. SH - Prob. 13.10.1EPCh. SH - Prob. 13.10.2EPCh. SH - Prob. 13.10.3EPCh. SH - Prob. 13.10.4EPCh. SH - Prob. 13.10.5EPCh. SH - Prob. 13.10.6EPCh. SH - Prob. 14.1.1EPCh. SH - Prob. 14.1.2EPCh. SH - Prob. 14.1.3EPCh. SH - Prob. 14.1.4EPCh. SH - Prob. 14.1.5EPCh. SH - Prob. 14.1.6EPCh. SH - Prob. 14.1.7EPCh. SH - Prob. 14.1.8EPCh. SH - Prob. 14.1.9EPCh. SH - Prob. 14.1.10EPCh. SH - Prob. 14.2.1EPCh. SH - Prob. 14.2.2EPCh. SH - Prob. 14.2.3EPCh. SH - Prob. 14.2.4EPCh. SH - Prob. 14.2.5EPCh. SH - Prob. 14.2.6EPCh. SH - Prob. 14.2.7EPCh. SH - Prob. 14.2.8EPCh. SH - Prob. 14.2.9EPCh. SH - Prob. 14.2.10EPCh. SH - Prob. 14.3.1EPCh. SH - Prob. 14.3.2EPCh. SH - Prob. 14.3.3EPCh. SH - Prob. 14.3.4EPCh. SH - Prob. 14.3.5EPCh. SH - Prob. 14.3.6EPCh. SH - Prob. 14.3.7EPCh. SH - Prob. 14.3.8EPCh. SH - Prob. 14.4.1EPCh. SH - Prob. 14.4.2EPCh. SH - Prob. 14.4.3EPCh. SH - Prob. 14.4.4EPCh. SH - Prob. 14.4.5EPCh. SH - Prob. 14.4.6EPCh. SH - Prob. 14.4.7EPCh. SH - Prob. 14.4.8EPCh. SH - Prob. 14.4.9EPCh. SH - Prob. 14.4.10EPCh. SH - Prob. 14.4.11EPCh. SH - Prob. 14.4.12EPCh. SH - Prob. 14.4.13EPCh. SH - Prob. 14.4.14EPCh. SH - Prob. 14.5.1EPCh. SH - Prob. 14.5.2EPCh. SH - Prob. 14.5.3EPCh. SH - Prob. 14.5.4EPCh. SH - Prob. 14.5.5EPCh. SH - Prob. 14.5.6EPCh. SH - Prob. 14.5.7EPCh. SH - Prob. 14.5.8EPCh. SH - Prob. 14.5.9EPCh. SH - Prob. 14.5.10EPCh. SH - Prob. 14.6.1EPCh. SH - Prob. 14.6.2EPCh. SH - Prob. 14.6.3EPCh. SH - Prob. 14.6.4EPCh. SH - Prob. 14.6.5EPCh. SH - Prob. 14.6.6EPCh. SH - Prob. 14.6.7EPCh. SH - Prob. 14.6.8EPCh. SH - Prob. 14.6.9EPCh. SH - Prob. 14.6.10EPCh. SH - Prob. 14.6.11EPCh. SH - Prob. 14.6.12EPCh. SH - Prob. 14.7.1EPCh. SH - Prob. 14.7.2EPCh. SH - Prob. 14.7.3EPCh. SH - Prob. 14.7.4EPCh. SH - Prob. 14.7.5EPCh. SH - Prob. 14.7.6EPCh. SH - Prob. 14.7.7EPCh. SH - Prob. 14.7.8EPCh. SH - Prob. 14.7.9EPCh. SH - Prob. 14.7.10EPCh. SH - Prob. 14.7.11EPCh. SH - Prob. 14.8.1EPCh. SH - Prob. 14.8.2EPCh. SH - Prob. 14.8.3EPCh. SH - Prob. 14.8.4EPCh. SH - Prob. 14.8.5EPCh. SH - Prob. 14.8.6EPCh. SH - Prob. 14.8.7EPCh. SH - Prob. 14.8.8EPCh. SH - Prob. 14.8.9EPCh. SH - Prob. 14.8.10EPCh. SH - Prob. 14.8.11EPCh. SH - Prob. 1.1MPSCh. SH - Prob. 1.2MPSCh. SH - Prob. 1.3MPSCh. SH - Prob. 1.4MPSCh. SH - Prob. 1.5MPSCh. SH - Prob. 1.6MPSCh. SH - Prob. 1.7MPSCh. SH - Prob. 2.1MPSCh. SH - Prob. 2.2MPSCh. SH - Prob. 2.3MPSCh. SH - Prob. 2.4MPSCh. SH - Prob. 2.5MPSCh. SH - Prob. 2.6MPSCh. SH - Prob. 2.7MPSCh. SH - Prob. 2.8MPSCh. SH - Prob. 2.9MPSCh. SH - Prob. 2.10MPSCh. SH - Prob. 2.11MPSCh. SH - Prob. 3.1MPSCh. SH - Prob. 3.2MPSCh. SH - Prob. 3.3MPSCh. SH - Prob. 3.4MPSCh. SH - Prob. 3.5MPSCh. SH - Prob. 3.6MPSCh. SH - Prob. 3.7MPSCh. SH - Prob. 3.8MPSCh. SH - Prob. 3.9MPSCh. SH - Prob. 3.10MPSCh. SH - Prob. 3.11MPSCh. SH - Prob. 3.12MPSCh. SH - Prob. 4.1MPSCh. SH - Prob. 4.2MPSCh. SH - Prob. 4.3MPSCh. SH - Prob. 4.4MPSCh. SH - Prob. 4.5MPSCh. SH - Prob. 4.6MPSCh. SH - Prob. 4.7MPSCh. SH - Prob. 4.8MPSCh. SH - Prob. 4.9MPSCh. SH - Prob. 4.10MPSCh. SH - Prob. 4.11MPSCh. SH - Prob. 5.1MPSCh. SH - Prob. 5.2MPSCh. SH - Prob. 5.3MPSCh. SH - Prob. 5.4MPSCh. SH - Prob. 5.5MPSCh. SH - Prob. 5.6MPSCh. SH - Prob. 5.7MPSCh. SH - Prob. 5.8MPSCh. SH - Prob. 5.9MPSCh. SH - Prob. 6.1MPSCh. SH - Prob. 6.2MPSCh. SH - Prob. 6.3MPSCh. SH - Prob. 6.4MPSCh. SH - Prob. 6.5MPSCh. SH - Prob. 6.6MPSCh. SH - Prob. 6.7MPSCh. SH - Prob. 6.8MPSCh. SH - Prob. 6.9MPSCh. SH - Prob. 6.10MPSCh. SH - Prob. 7.1MPSCh. SH - Prob. 7.2MPSCh. SH - Prob. 7.3MPSCh. SH - Prob. 7.4MPSCh. SH - Prob. 7.5MPSCh. SH - Prob. 7.6MPSCh. SH - Prob. 7.7MPSCh. SH - Prob. 7.8MPSCh. SH - Prob. 7.9MPSCh. SH - Prob. 7.10MPSCh. SH - Prob. 8.1MPSCh. SH - Prob. 8.2MPSCh. SH - Prob. 8.3MPSCh. SH - Prob. 8.4MPSCh. SH - Prob. 8.5MPSCh. SH - Prob. 8.6MPSCh. SH - Prob. 8.7MPSCh. SH - Prob. 8.8MPSCh. SH - Prob. 8.9MPSCh. SH - Prob. 8.10MPSCh. SH - Prob. 9.1MPSCh. SH - Prob. 9.2MPSCh. SH - Prob. 9.3MPSCh. SH - Prob. 9.4MPSCh. SH - Prob. 9.5MPSCh. SH - Prob. 9.6MPSCh. SH - Prob. 9.7MPSCh. SH - Prob. 9.8MPSCh. SH - Prob. 9.9MPSCh. SH - Prob. 9.10MPSCh. SH - Prob. 10.1MPSCh. SH - Prob. 10.2MPSCh. SH - Prob. 10.3MPSCh. SH - Prob. 10.4MPSCh. SH - Prob. 10.5MPSCh. SH - Prob. 10.6MPSCh. SH - Prob. 10.7MPSCh. SH - Prob. 10.8MPSCh. SH - Prob. 10.9MPSCh. SH - Prob. 10.10MPSCh. SH - Prob. 11.1MPSCh. SH - Prob. 11.2MPSCh. SH - Prob. 11.3MPSCh. SH - Prob. 11.4MPSCh. SH - Prob. 11.5MPSCh. SH - Prob. 11.6MPSCh. SH - Prob. 11.7MPSCh. SH - Prob. 11.8MPSCh. SH - Prob. 12.1MPSCh. SH - Prob. 12.2MPSCh. SH - Prob. 12.3MPSCh. SH - Prob. 12.4MPSCh. SH - Prob. 12.5MPSCh. SH - Prob. 12.6MPSCh. SH - Prob. 12.7MPSCh. SH - Prob. 13.1MPSCh. SH - Prob. 13.2MPSCh. SH - Prob. 13.3MPSCh. SH - Prob. 13.4MPSCh. SH - Prob. 13.5MPSCh. SH - Prob. 13.6MPSCh. SH - Prob. 13.7MPSCh. SH - Prob. 13.8MPS

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