Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Family of Curves
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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…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
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 4.5, Problem 10PPS

(a)

To determine

The scatter-plot for the height in inches comparing to the weight in pounds.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given: The given data for the height in inches and weight in pounds is shown as,

    Height (inches) Weight (pounds)
    62 115
    63 124
    65 120
    67 134
    67 140
    68 138
    68 144
    68 152
    69 147
    72 155
    73 168
    73 166

Graph: The graph for the scatter-plot between the height in inches and weight in pounds is shown as,

  Algebra 1, Chapter 4.5, Problem 10PPS , additional homework tip 1

Conclusion: As the height in inches increases, the weight in pounds also increases. Therefore, there is a positive correlation between the height in inches and the weight in pounds.

(b)

To determine

The graph of line of fit for the given data.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given: The given data for the height in inches and weight in pounds is shown as,

    Height (inches) Weight (pounds)
    62 115
    63 124
    65 120
    67 134
    67 140
    68 138
    68 144
    68 152
    69 147
    72 155
    73 168
    73 166

Graph: The graph for the line of fit using the scatter plot between the height in inches and weight in pounds is shown as,

  Algebra 1, Chapter 4.5, Problem 10PPS , additional homework tip 2

(c)

To determine

The equation of line of fit in slope-intercept form.

(c)

Expert Solution
Check Mark

Answer to Problem 10PPS

The equation for the line of fit is y=296x−184.66 .

Explanation of Solution

Given: The given data for the height in inches and weight in pounds is shown as,

    Height (inches) Weight (pounds)
    62 115
    63 124
    65 120
    67 134
    67 140
    68 138
    68 144
    68 152
    69 147
    72 155
    73 168
    73 166

Calculation: The slope (m) using the points (62,115)  and (68,144) for the line of fit can be calculated as,

  Slope(m)=144−11568−62=296=296......(Approx.)

Now, the line of fit having slope (m=296) passes through the point (62,115) . Therefore, equation of line is written using point-slope form as,

  y−115=296(x−62)......(Here m=296 and(x1,y1)→(62,115))y−115=296x−299.66y=296x−184.66......(1)

(d)

To determine

The normal weight for a man who is 84 inches tall.

(d)

Expert Solution
Check Mark

Answer to Problem 10PPS

The weight for the man will be 221.66lb (approx.).

Explanation of Solution

Given: The given data for the height in inches and weight in pounds is shown as,

    Height (inches) Weight (pounds)
    62 115
    63 124
    65 120
    67 134
    67 140
    68 138
    68 144
    68 152
    69 147
    72 155
    73 168
    73 166

Calculation: The weight for a man who is 84 inches tall can be calculated by plugging (x=84) in (1). Therefore, from (1),

  y=296(84)−184.66......(For x=84)=406−299.66=221.34 lb

(e)

To determine

If the weight of the man is 188 pounds then use the equation of line of fit to find the estimated height of man.

(e)

Expert Solution
Check Mark

Answer to Problem 10PPS

The height of the man will be 77.10 inches.

Explanation of Solution

Given: The given data for the height in inches and weight in pounds is shown as,

    Height (inches) Weight (pounds)
    62 115
    63 124
    65 120
    67 134
    67 140
    68 138
    68 144
    68 152
    69 147
    72 155
    73 168
    73 166

Calculation: The height for a man whose weight is 188 pounds can be calculated by plugging (y=188) in (1). Therefore, from (1),

  (188)=296x−184.66......(For y=188)or, 296x=372.66=77.10 inches

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Chapter 4.5, Problem 9PPS
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Chapter 4.5, Problem 11PPS

Chapter 4 Solutions

Algebra 1

Ch. 4.1 - Prob. 1ACYPCh. 4.1 - Prob. 1BCYPCh. 4.1 - Prob. 2ACYPCh. 4.1 - Prob. 2BCYPCh. 4.1 - Prob. 3ACYPCh. 4.1 - Prob. 3BCYPCh. 4.1 - Prob. 4CYPCh. 4.1 - Prob. 1CYUCh. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYU
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. 10CYUCh. 4.1 - Prob. 11CYUCh. 4.1 - Prob. 12CYUCh. 4.1 - Prob. 13CYUCh. 4.1 - Prob. 14CYUCh. 4.1 - Prob. 15CYUCh. 4.1 - Prob. 16CYUCh. 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. 55PPSCh. 4.1 - Prob. 56PPSCh. 4.1 - Prob. 57PPSCh. 4.1 - Prob. 58PPSCh. 4.1 - Prob. 59PPSCh. 4.1 - Prob. 60PPSCh. 4.1 - Prob. 61PPSCh. 4.1 - Prob. 62HPCh. 4.1 - Prob. 63HPCh. 4.1 - Prob. 64HPCh. 4.1 - Prob. 65HPCh. 4.1 - Prob. 66HPCh. 4.1 - Prob. 67STPCh. 4.1 - Prob. 68STPCh. 4.1 - Prob. 69STPCh. 4.1 - Prob. 70STPCh. 4.1 - Prob. 71SRCh. 4.1 - Prob. 72SRCh. 4.1 - Prob. 73SRCh. 4.1 - Prob. 74SRCh. 4.1 - Prob. 75SRCh. 4.1 - Prob. 76SRCh. 4.1 - Prob. 77SRCh. 4.1 - Prob. 78SRCh. 4.1 - Prob. 79SRCh. 4.1 - Prob. 80SCh. 4.1 - Prob. 83SCh. 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. 81SCh. 4.1 - Prob. 82SCh. 4.1 - Prob. 5ACYPCh. 4.1 - Prob. 5BCYPCh. 4.1 - Prob. 5CCYPCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 2ACYPCh. 4.2 - Prob. 2BCYPCh. 4.2 - Prob. 3CYPCh. 4.2 - Prob. 4CYPCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - 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Prob. 51HPCh. 4.4 - Prob. 1CYPCh. 4.4 - Prob. 2CYPCh. 4.4 - Prob. 3CYPCh. 4.4 - Prob. 4CYPCh. 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. 11PPSCh. 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. 49STPCh. 4.4 - Prob. 50STPCh. 4.4 - Prob. 51STPCh. 4.4 - Prob. 52STPCh. 4.4 - Prob. 53SRCh. 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. 70SCh. 4.4 - Prob. 71SCh. 4.4 - Prob. 72SCh. 4.4 - Prob. 73SCh. 4.5 - Prob. 1CYPCh. 4.5 - Prob. 2CYPCh. 4.5 - Prob. 3CYPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4PPSCh. 4.5 - Prob. 5PPSCh. 4.5 - Prob. 6PPSCh. 4.5 - Prob. 7PPSCh. 4.5 - Prob. 8PPSCh. 4.5 - Prob. 9PPSCh. 4.5 - Prob. 10PPSCh. 4.5 - Prob. 11PPSCh. 4.5 - Prob. 13HPCh. 4.5 - Prob. 14HPCh. 4.5 - Prob. 15HPCh. 4.5 - Prob. 16HPCh. 4.5 - Prob. 17HPCh. 4.5 - Prob. 18STPCh. 4.5 - Prob. 19STPCh. 4.5 - Prob. 20STPCh. 4.5 - Prob. 21STPCh. 4.5 - Prob. 22SRCh. 4.5 - Prob. 23SRCh. 4.5 - Prob. 24SRCh. 4.5 - Prob. 25SRCh. 4.5 - Prob. 26SRCh. 4.5 - Prob. 27SRCh. 4.5 - Prob. 28SRCh. 4.5 - Prob. 29SRCh. 4.5 - Prob. 30SRCh. 4.5 - Prob. 31SRCh. 4.5 - Prob. 32SRCh. 4.5 - Prob. 33SRCh. 4.5 - Prob. 34SRCh. 4.5 - Prob. 35SRCh. 4.5 - Prob. 36SRCh. 4.5 - Prob. 37SRCh. 4.5 - Prob. 38SRCh. 4.5 - Prob. 39SRCh. 4.5 - Prob. 40SRCh. 4.5 - Prob. 41SRCh. 4.5 - Prob. 42SCh. 4.5 - Prob. 43SCh. 4.5 - Prob. 12PPSCh. 4.6 - Prob. 24STPCh. 4.6 - Prob. 1ACYPCh. 4.6 - Prob. 1BCYPCh. 4.6 - Prob. 2ACYPCh. 4.6 - Prob. 2BCYPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4PPSCh. 4.6 - Prob. 5PPSCh. 4.6 - Prob. 6PPSCh. 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. 19HPCh. 4.6 - Prob. 20HPCh. 4.6 - Prob. 22HPCh. 4.6 - Prob. 23STPCh. 4.6 - Prob. 25STPCh. 4.6 - Prob. 26STPCh. 4.6 - Prob. 27SRCh. 4.6 - Prob. 28SRCh. 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. 38SRCh. 4.6 - Prob. 39SCh. 4.6 - Prob. 40SCh. 4.6 - Prob. 41SCh. 4.6 - Prob. 42SCh. 4.6 - Prob. 43SCh. 4.6 - Prob. 44SCh. 4.6 - Prob. 45SCh. 4.6 - Prob. 46SCh. 4.6 - Prob. 3CYPCh. 4.6 - Prob. 21HPCh. 4.7 - Prob. 58HPCh. 4.7 - Prob. 60HPCh. 4.7 - Prob. 64STPCh. 4.7 - Prob. 69SRCh. 4.7 - Prob. 53PPSCh. 4.7 - Prob. 55HPCh. 4.7 - Prob. 56HPCh. 4.7 - Prob. 57HPCh. 4.7 - Prob. 59HPCh. 4.7 - Prob. 62STPCh. 4.7 - Prob. 63STPCh. 4.7 - Prob. 1CYPCh. 4.7 - Prob. 1CYUCh. 4.7 - Prob. 2CYUCh. 4.7 - Prob. 3CYUCh. 4.7 - Prob. 4CYUCh. 4.7 - Prob. 5CYUCh. 4.7 - Prob. 6CYUCh. 4.7 - Prob. 7CYUCh. 4.7 - Prob. 8CYUCh. 4.7 - Prob. 9PPSCh. 4.7 - Prob. 10PPSCh. 4.7 - Prob. 11PPSCh. 4.7 - Prob. 12PPSCh. 4.7 - Prob. 13PPSCh. 4.7 - Prob. 14PPSCh. 4.7 - Prob. 15PPSCh. 4.7 - Prob. 16PPSCh. 4.7 - Prob. 17PPSCh. 4.7 - Prob. 18PPSCh. 4.7 - Prob. 19PPSCh. 4.7 - Prob. 20PPSCh. 4.7 - Prob. 21PPSCh. 4.7 - Prob. 22PPSCh. 4.7 - Prob. 23PPSCh. 4.7 - Prob. 24PPSCh. 4.7 - Prob. 25PPSCh. 4.7 - Prob. 26PPSCh. 4.7 - Prob. 27PPSCh. 4.7 - Prob. 28PPSCh. 4.7 - Prob. 29PPSCh. 4.7 - Prob. 30PPSCh. 4.7 - Prob. 31PPSCh. 4.7 - Prob. 32PPSCh. 4.7 - Prob. 33PPSCh. 4.7 - Prob. 34PPSCh. 4.7 - Prob. 35PPSCh. 4.7 - Prob. 36PPSCh. 4.7 - Prob. 37PPSCh. 4.7 - Prob. 38PPSCh. 4.7 - Prob. 39PPSCh. 4.7 - Prob. 40PPSCh. 4.7 - Prob. 41PPSCh. 4.7 - Prob. 42PPSCh. 4.7 - Prob. 43PPSCh. 4.7 - Prob. 44PPSCh. 4.7 - Prob. 45PPSCh. 4.7 - Prob. 46PPSCh. 4.7 - Prob. 47PPSCh. 4.7 - Prob. 48PPSCh. 4.7 - Prob. 49PPSCh. 4.7 - Prob. 50PPSCh. 4.7 - Prob. 51PPSCh. 4.7 - Prob. 52PPSCh. 4.7 - Prob. 65SRCh. 4.7 - Prob. 66SRCh. 4.7 - Prob. 67SRCh. 4.7 - Prob. 68SRCh. 4.7 - Prob. 70SRCh. 4.7 - Prob. 71SRCh. 4.7 - Prob. 72SRCh. 4.7 - Prob. 73SRCh. 4.7 - Prob. 74SCh. 4.7 - Prob. 75SCh. 4.7 - Prob. 76SCh. 4.7 - Prob. 77SCh. 4.7 - Prob. 78SCh. 4.7 - Prob. 79SCh. 4.7 - Prob. 54PPSCh. 4.7 - Prob. 61STPCh. 4 - Prob. 10PTCh. 4 - Prob. 15PTCh. 4 - Prob. 4STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 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. 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. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 1STPCh. 4 - Prob. 3STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 10STPCh. 4 - 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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. 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. 16QC

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Solve y2+8y=11 by completing the square.

Elementary Algebra

Find the inverses of the matrices in Exercises 14. 4. [3478]

Linear Algebra and Its Applications (5th Edition)

TRY IT:: 139 Add: 4,597+685.

PREALGEBRA

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra (7th Edition)

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra

For the following exercises, write the linear system from the augmented matrix. [ 256 18|526]

College Algebra

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