
Concept explainers
a.
To calculate the mean
a.

Answer to Problem 22PFA
The mean population is 16.67 (in millions)
Explanation of Solution
Given information:
Population of states.
State | Population (in hundred thousand) |
North Carolina | 9.5 |
Georgia | 9.7 |
Michigan | 9.9 |
Ohio | 11.5 |
Pennsylvania | 12.7 |
Illinois | 12.8 |
Florida | 18.8 |
New York | 19.4 |
Texas | 25.1 |
California | 37.3 |
Formula Used:
Mean formula is,
Where, f is frequency
N is total number of items
X is item.
Calculation:
Substituting the values,
So,
On solving,
Hence, mean is 16.67
Conclusion:
The mean population is 16.67 (in millions)
b.
To calculate the median of the population of the states.
b.

Answer to Problem 22PFA
Median of the population of states is 12.8
Explanation of Solution
Given information:
Population of the states
Formula Used:
Median formula is,
Where, ncumulative frequency
Calculation:
Rearranging the states in an ascending order of their population
State | Population (in hundred thousand) | Cumulative frequency |
North Carolina | 9.5 | 9.5 |
Georgia | 9.7 | 19.2 |
Michigan | 9.9 | 29.1 |
Ohio | 11.5 | 40.6 |
Pennsylvania | 12.7 | 53.3 |
Illinois | 12.8 | 66.1 |
Florida | 18.8 | 84.9 |
New York | 19.4 | 104.3 |
Texas | 25.1 | 129.4 |
California | 37.3 | 166.7 |
Substituting values in median formula,
On solving,
Substituting the values of 5th and 6th term,
On solving,
On rounding of the value,
Hence, median is 12.8
Conclusion:Median of the population of states 12.8
c.
To calculate the percentile of North Carolina
c.

Answer to Problem 22PFA
Percentile rank of North Carolina is 0.
Explanation of Solution
Given information:
Population of states,
State | Population (in million) |
North Carolina | 9.5 |
Georgia | 9.7 |
Michigan | 9.9 |
Ohio | 11.5 |
Pennsylvania | 12.7 |
Illinois | 12.8 |
Florida | 18.8 |
New York | 19.4 |
Texas | 25.1 |
California | 37.3 |
Formula Used:Percentile formula is,
Calculation:
Substituting the values,
On solving,
Conclusion:
Percentile rank of North Carolina is 0.
d.
To calculate the percentile of Georgia
d.

Answer to Problem 22PFA
Percentile rank of Georgia is 10.
Explanation of Solution
Given information:
Population of states,
State | Population (in million) |
North Carolina | 9.5 |
Georgia | 9.7 |
Michigan | 9.9 |
Ohio | 11.5 |
Pennsylvania | 12.7 |
Illinois | 12.8 |
Florida | 18.8 |
New York | 19.4 |
Texas | 25.1 |
California | 37.3 |
Formula Used:Percentile formula is,
Calculation:
Substituting the values,
On solving,
Hence, percentile rank of Georgia is 10.
Conclusion:
Percentile rank of Georgia is 10.
e.
To calculate if there is any state at 50th percentile.
e.

Answer to Problem 22PFA
Illinois is at 50 percentile
Explanation of Solution
Given information:
Population in states
Formula Used:
Calculation:
Substituting the values,
So,
On solving,
In this situation, taking the average of 5th and 6th value. Hence, substituting the values of 5th and 6th observations,
On solving,
On rounding of the value,
Comparing the value to the table.
So, Illinois is at 50 percentile
Conclusion:
Illinois is at 50 percentile
f.
To calculate which states are under 20 percentile?
f.

Answer to Problem 22PFA
The state below 20th percentile is North Carolina.
Explanation of Solution
Given information:
Population of states,
State | Population (in million) |
North Carolina | 9.5 |
Georgia | 9.7 |
Michigan | 9.9 |
Ohio | 11.5 |
Pennsylvania | 12.7 |
Illinois | 12.8 |
Florida | 18.8 |
New York | 19.4 |
Texas | 25.1 |
California | 37.3 |
Formula Used:
Calculation:
Substituting the values,
So,
On solving,
On rounding of the value,
Comparing with the table.
So, the state below 20th percentile is North Carolina
Conclusion:The state below 20th percentile is North Carolina
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
College Algebra with Modeling & Visualization (5th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
- 1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)arrow_forwardSafari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forwardSo confused. Step by step instructions pleasearrow_forward
- In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forwardIn simplest way, For each quadratic relation, find the zeros and the maximum or minimum. a) y = x 2 + 16 x + 39 b) y = 5 x2 - 50 x - 120arrow_forwardIn simplest terms and step by step Write each quadratic relation in standard form, then fi nd the zeros. y = - 4( x + 6)2 + 36arrow_forward
- In simplest terms and step by step For each quadratic relation, find the zeros and the maximum or minimum. 1) y = - 2 x2 - 28 x + 64 2) y = 6 x2 + 36 x - 42arrow_forwardWrite each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forward
- Step by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forwardIn simplest terms and step by step how do you find the zeros of y = 6x2 + 24x - 192arrow_forwardStep by step Find the zeros of each quadratic relation. a) y = x2 - 16xarrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





