Chapter 3 Problem 60 Page 133
Dividend yield is the annual dividend per share a company pays divided by the current market price per share expressed as a percentage. A sample of 10 large companies provided the following dividend yield data (The Wall Street Journal, January 16, 2004). Company| Yield %| Company| Yield %|

Altria Group| 5.0| General Motors| 3.7|
American Express| 0.8| JP Morgan Chase| 3.5|
Caterpillar| 1.8| McDonald’s| 1.6|
Eastman Kodak| 1.9| United Technology| 1.5|
Exxonmobil| 2.5| Wal-Mart Stores| 0.7|

a. What are the mean and median dividend yields?
Answer
1. Mean x= ∑xi / n n = 10 large companies
= (5.0 + 0.8 + 1.8 + 1.9 + 2.5 +3.7 +3.5 + 1.6 + 1.5 + 0.7) / 10 = 23 / 10
= 2.3
The Mean or average of dividend yield is 2.3 from sample of 10 large companies. 2. Median is the value in the middle when the data are arranged in ascending order. 0.7, 0.8, 1.5, 1.6, 1.8, 1.9, 2.5, 3.5, 3.7, 5.0

(1.8 + 1.9) / 2 = 1.85
The Median of dividend yield is 1.85 from sample of 10 large companies. b. What are the variance and standard deviation?
Answer
1. Variance S2 = ∑ (xi – x)2 / n-1
= [(0.7-2.3)2 + (0.8-2.3)2 + (1.5–2.3)2 + (1.6-2.3)2 + (1.8-2.3)2 + (1.9- 2.3)2 + (2.5-2.3)2 + (3.5-2.3)2 + (3.7-2.3)2 + (5.0-2.3)2] / (10-1) = (2.56 + 2.25 + 0.64 + 0.49 + 0.25 + 0.16 + 0.04 + 1.44 + 1.96 + 7.29)/(10 - 1)

= 17.08 / 9
= 1.90
The variance of dividend yield is 1.708 from sample of 10 large companies. 2. Standard deviation S = √S2
= √1.90
= 1.378
The Standard deviation is 1.378
c. Which company provides the highest dividend yield?
Answer Altria Group is the highest dividend yield which is 5.0 dividend yields. d. What is the z-score for McDonald’s ? Interpret this z-score. Answer
1. Z-scoreZi = (xi – x) / s
= (1.6 – 2.3) / 1.378...

...MDM 4U Chapter 5 Test
K ( ) T ( / ) A( / ) C( / )
Short Answer
1. For a calculus quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose? K-6
2. All 16 people at a function shake hands with everyone else at the function. Use combinations to find the total number of handshakes. T- 6
3. How many different sums of money can you make with three pennies, a nickel, a dime, and two quarters?K-5
4. How many different sums of money can you make with four pennies, two nickels, and six quarters? A-6
5. Susan’s company has just won an important new contract. She will have to assign a project team of at least 4 of her 11 staff members to this contract in order to complete it on time. If no more than 5 staff members can be spared from other work, how many different project teams could Susan form for the new contract? T-8
6. A new theme park will have five roller coasters, six water rides, and eight suspension rides. How many different combinations of rides could you try at this park? K-7
7. Write the first three terms of the expansion of (2x – y)7. C- 5
8. Expand (x + 3y)5. K 6
Problem
9. There are 10 councillors and 12 planning department staff available to serve on a budget committee for the new city council. If the committee will consist of 3 councillors and either 1 or 2 planning staff, how many...

...Collin Doyle
Mrs. Perino
Math 48A.01
11 January 2013
Homework 1.2: P. 19-21 #’s 23-24, 66-67, 70, 73, 74a-b, 76
23) Problem: Explain how to determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line.
Solution: a. Parenthesis: indicate a range of values, open interval, I think of parenthesis as being the parent that is more open to given their child toys and bending the rules.
b. Brackets: has limits between two numbers, closed interval, I think of brackets as the stern parent who enforces the rules to the highest degree.
24) Problem: The three-part inequality a < x < b means “a is less than x, and x is less than b.” Which one of the following inequalities is not satisfied by some real number x?
A. -3 < x < 5 B. 0 < x < 4
C. -3 < x < -2 D. -7 < x < -10
Solution: D, because -10 is less than -7 and x is greater than -7 which also means that x is also greater than -10.
66) Problem: If f(3) = -9.7, identify a point on the graph of f.
Solution: (3,-9.7), f(3) is f(x) which means that 3 is the x-value and -9.7 is the y-value.
67) Problem: If the point (7,8) lies on the graph of f, then f(___) = ____.
Solution: f(7) = 8, this problem is the reverse of the problem before, you plug in the x-value (7) into x in f(x) and then plug in the y-value (8) in for the y.
70) Problem: Use the graph of y = f(x) to find each function value: a. f(-2), b. f(0),...

...Page 1 of 4
Math 116 Review 1
1. Suppose that the total cost of manufacturing q units of a certain product is C q thousand dollars, where
C q q3 30q2 500q 200
a) Find the total cost and the average cost of producing 10 units. b) Find the cost of producing the 10th unit.
2. Let f x 4 x 2 3x 2 , evaluate and simplify the difference quotient
f x h f x , where h 0 . h
3. The average scores of incoming students at an eastern liberal arts college in the SAT mathematics examination have been declining at a constant rate in recent years. In 2000, the average SAT score was 605. The score is decreasing at a rate of 6 points per year. Form a linear function of time for the average SAT score. Let t=0 for 2000.
4. The owner of a toy store can obtain a popular board game at a cost of $15 per set. She estimates that if each set sells for p dollars, then sets will be sold each week. a) Express the owner’s weekly profit as a function of selling price p. b) Estimate the optimal selling price. c) How many sets will be sold each week at that optimal price?
5. A missile is projected vertically from an underground bunker in such a way that t seconds after lunch, it is s feet above the ground, where s t 16t 2 800t 15 a) How deep is the bunker? b) Determine when the missile is at its highest point. c) What is the missile maximum height?
M116v12.doc
Page 2 of 4
6. George runs a copying service, and he...

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Use linear interpolation once on the interval f2,31to find an approximation to a.
Give your answer to 3 decimal places.
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The equation f(x) : 0 has another root B in the interval [-1, 0]. Starting with this
interval, use"interval bisection to find an interval of width 0.25 which contains B.
(4)
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...Name _____________________________ Date ____________ Period _______
Completing the Square Day 1
For each expression, find the number you would add to make it a perfect square trinomial. Leave fraction answers as improper fractions (no mixed numbers or decimals). Then factor each trinomial.
1. x2 + 10x + _______ 2. y2 – 6y + ¬¬¬¬_______ 3. z2 – 8z + _______
_____________________ _____________________ _____________________
4. x2 + 12x + _______ 5. x2 – x + _______ 6. x2 + 13x + _______
_____________________ _____________________ _____________________
7. x2 + 11x + _______ 8. _______ 9. _______
_____________________ _____________________ _____________________
For each expression, find the value of k that would make the trinomial a perfect square trinomial. Then factor each trinomial.
10. x2 + kx + 36 _______ 11. x2 – kx + 49 _______ 12. x2 – kx + 64 _______
_____________________ _____________________ _____________________
Solve by taking the square root of each side. Simplify radicals.
13. (z + 5)2 = 36 14. (x – 2)2 = 18 15. (x + 7)2 =
16. 2(x + 4)2 = 6 17. 3(x – 2)2 = 27 18. x2 + 8x + 16 = 1
Solve by completing the square.
19. x2 + 4x – 21 = 0 20. x2 – 2x – 48 = 0 21. x2 + 10x – 3 = 0
Solving a Quadratic Equation by Completing the Square
Note: The steps for putting an equation in vertex form [ y = a(x – h)2 + k ] are...

...History of mathematics
A proof from Euclid's Elements, widely considered the most influential textbook of all time.[1]
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available arePlimpton 322 (Babylonian mathematics c. 1900 BC),[2] the Rhind Mathematical Papyrus (Egyptian mathematics c. 2000-1800 BC)[3] and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-calledPythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.
The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greekμάθημα (mathema), meaning "subject of instruction".[4]Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning andmathematical rigor in proofs) and expanded the subject matter of mathematics.[5] Chinese...

...Week 5
Final Exam
Continuous schedule from Friday , November 1st. 9am until Saturday , November 2nd., 23:59pm.
Monday, November 4, 2013
20%
100%
To obtain the opportunity to take your final exam you should have delivered at least 6 activities.
Please keep this Agenda at hand so that you can deliver you assignments on time.
Greetings,
Blanca Alanís
Posted by: BLANCA HILDA ALANIS PENA
Posted to: CEL.HI09107V.343.13320 Inglés VII
Bibliography
Posted on: Thursday, October 3, 2013
Hello guys,
The books we are going to use are:
Text book:
Richards, Jack C. & Sandy, Chuck (2009). Passages 2 (2nd ed.). New York, N.Y. Cambridge University Press.
ISBN 978-0-521-68391-3
Workbook:
Richards, Jack C. & Sandy, Chuck (2009). Passages 2 (2nd ed.). New York, N.Y. Cambridge University Press.
ISBN 978-0-521-68393-7
Make sure they are the 2nd. edition, because the 1st. edition is completely different.
In your course, in the Bibliography Section you have a link of a bookstore where you can buy the books. You can try other bookstores in your city, of course, but they don't usually have the book in stock.
Greetings,
Blanca Alanís
Posted by: BLANCA HILDA ALANIS PENA
Posted to: CEL.HI09107V.343.13320 Inglés VII
Grading in the courseWeek 5
Final Exam
Continuous schedule from Friday , November 1st. 9am until Saturday , November 2nd., 23:59pm.
Monday, November 4, 2013
20%
100%
To...

...PROFICIENCY TEST STUDY GUIDE
With sample test questionsMATHEMATICS / ALGEBRA |
Key Words and Converting Words to EquationsFractions Adding, subtracting, multiplying, dividing Simplifying Writing decimals as fractions StatisticsReading Tables and ChartsExponentsPre-Algebra and Algebra Special notation for multiplication and division with variable Algebra word problems Order of operations Simplifying expressions Prime factorization Greatest common factor Least common multiple Factoring Sample algebra problemsCoordinate System Grid graph Slope coordinatesGeometry Basics Squares, rectangles, circles, trianglesMath Definitions |
ENGLISH |
Proof reading / spellingReading comprehensionMain theme of a paragraphLogical sequence of a paragraphKey wordEnglish grammarBasic word meanings |
ABILITY TO ASSIST |
Worker roles and responsibilitiesStudent discipline / behavior |
WRITING |
ContentFormatGrammarSpellingPunctuation |
MDUSD Proficiency Test Study Guide / Page 2
MATH
Key Words and Converting Words to Equations
Sometimes math questions use key words to indicate what operation to perform. Becoming familiar with these key words will help you determine what the question is asking for.
OPERATION | OTHER WORDS WHICH INDICATE THE OPERATION |
Addition | Increased by; more than; combined...