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MAT117
Quiz 4 - Applications
Chapter 11
10 problems – 5 points each
50 points possible

Solve all problems and attach your solutions document in your Assignment Section Remember to use Equation Editor or MathType when appropriate. Remember to check your steps carefully. Please use the rightmost column to show your steps.

CorrectSolution?| Appropriate Steps Shown?| Credit Earned per Problem| Y| Y| Full Credit|
Y| N| Partial Credit|
N| Y| Partial Credit|
N| N| No Credit|

Grading(Please Leave Blank)| | Concepts and Skills:Show all steps when appropriate.| | 1.| If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?The solutions of the graph of a quadratic equation are the x-coordinates of the points where the graph crosses or touches the x-axis.| | 2.| * a) Without graphing, how do you know if a parabola opens upward or downward? Give an example. y=ax2+bx+c If "a" is positive, opens upward.

If "a" is negative, opens downward. * * b) Without graphing, how do you determine the vertex of a parabola? Give an example.Use the equation -b over 2a and this will give you x. Now you plug in your answer and you have your vertex * * * | | 3.| Solve by completing the square: Solutions: x=7, x=-1| | 4.| Solve by using the quadratic formula:(x-9)(x+5)=0

x-9=0x=9
x+5=0
x=-5|
| 5.| Solve by factoring: Solutions x=-3,-1|
| | Applications: Be sure to show the equations or inequalities using variables.| | 6.| The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 97 cm2, find the dimensions of the rectangle to the nearest thousandth.Let x be the width.

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MAT 540 Week 2 Quiz
Question 1
If variable costs increase, but price and fixed costs are held constant, the break even point will decrease.
Question 2
Parameters are known, constant values that are usually coefficients of variables in equations.
Question 3
Probabilistic techniques assume that no uncertainty exists in model parameters.
Question 4
In general, an increase in price increases the break even point if all costs are held constant.
Question 5
P(A | B) is the probability of event A, if we already know that event B has occurred.
Question 6
A continuous random variable may assume only integer values within a given interval.
Question 7
The events in an experiment are mutually exclusive if only one can occur at a time.
Question 8
A bed and breakfast breaks even every month if they book 30 rooms over the course of a month. Their fixed cost is $4200 per month and the revenue they receive from each booked room is $180. What their variable cost per occupied room?
Question 9
The indicator that results in total revenues being equal to total cost is called the
Question 10
If the price increases but fixed and variable costs do not change, the break even point
Question 11
A university is planning a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. If...

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This document MAT 126 Week 1 Quiz contains solutions on these questions:
A single card is drawn from a deck. What is the probability of getting a queen or a king?
How many different three letter permutations can be formed from the letters in the word clipboard?
In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl.
A box contains five blue, eight green, and three yellow
marbles. If a marble is selected at random, what is the
probability that it is yellow?
The odds in favor of an event are 10:1. Find the probability
that the event will occur.
Two dice are rolled. Find the probability of getting a sum greater than 8.
Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually.
Express 81.6% as a decimal.
Find the missing value.
A single card is drawn from a deck. Find the probability of selecting a 10 or a diamond.
Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal.
A single card is drawn from a deck. What is the probability of getting a queen or a king?
A package contains 9 candy...

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This document MAT 126 Week 1 Quiz contains solutions on these questions:
1. In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?
2. Find the general term of the set. {8, 12, 16, 20, 24, . . .}
3. Let U = {5, 10, 15, 20, 25, 30, 35, 40}
4. Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?
5. Write the set using set-builder notation: {natural numbers greater than 11}.
6. Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7, 8, 9}
7. Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A ? B.
8. Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 7 8 10 13 17 22 28 ____
9. The process of arriving at a general conclusion based on the observation of specific examples is called ___________...

...Week 1 quizWeek 1, Quiz 1 Points Received 40/40 (100%)
1. Total cost equal the fixed cost plus the variable cost per unit divided by volume
• True
• False
2. Objective probabilities that can be stated prior to the occurrence of an event are
• Subjective
• A priori
• Classical or a priori
• None of the above
3. An experiment is an activity that results in one of several possible outcomes.
• True
• False
4. Variable costs are independent of volume and remain constant.
• True
• False
5. Which of the following is an equation or an inequality that expresses a resource restriction in a mathematical model?
• Decision variable
• Data
• An objective function
• A constraint
• A parameter
6. Which of the following is incorrect with respect to the use of models in decision making?
• they improve understanding of the problem
• they promote subjectivity in decision making
• they are generally easy to use
• they provide a systematic approach to problem solving
7. The steps of the scientific method are:
• Problem definition, model construction, observation, model solution implementation
• Observation, problem definition, model construction, model solution Implementation
•...

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This document MAT 126 Week 1 Quiz contains solutions on these questions:
Classify the angle as acute, right, obtuse, or straight.
Find the perimeter.
Identify angles 6 and 7 as alternate interior, alternate exterior, corresponding, or vertical.
Find the domain and range of the relation, and state whether or not the relation is a function. {(7, 2), (8, 2), (9, 2), (10, 2)}
Adult tickets for a play cost $19 and child tickets cost $17. If there were 36 people at a performance and the theatre collected $646 from ticket sales, how many children attended the play?
Classify the triangle according to sides and angles.
Find the circumference of the circle. Use ? = 3.14.
Determine whether or not the relation is a function. {(-3, 6), (-2, 7), (-1, 8), (0, 9)}
Carla invested $23,000, part at 16% and part at 15%. If the total interest at the end of the year is $3,500, how much did she invest at 16%?
The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?
Find the y-intercept. x + 4y = -4
The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x....

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MAT117 /MAT117 Course Algebra 1B
Weeks 1 – 9 All Discussion Questions
Week 1 DQ 1 1. What four steps should be used in evaluating expressions? 2. Can these steps be skipped or rearranged? Explain your answers.3. Provide an expression for your classmates to evaluate.
Week 1 DQ 21. Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. 2. In what situations would distribution become important?3. Provide an example using the distributive property for your classmates to solve or evaluate.
Week 1 DQ 3 What is the difference between solving and evaluating?Provide a detailed example of both.Provide one example for your classmates to solve and one for them to evaluate.
Week 1 DQ 4 Imagine your younger relative—of middle school age—was taking an algebra course and asked for your help. How would you teach the multiplication of polynomials to her?
Week 2 DQ 11. What is a greatest common factor? 2. How do you know when you have found the greatest one?3. Give your classmates a problem that involves them figuring out the greatest common factor.
Week 2 DQ 21. Explain how to factor the trinomial form: x2 + bx + c, by demonstrating the steps with an example. (Use both words and mathematical notations)2. Explain how to factor the trinomial form: ax2 + bx + c, by demonstrating...

...MAT 540 Quiz 4
1.___________is maximized in the objective function by subtracting cost from revenue
Profit
Revenue
Cost
Productivity
2. In a media selection problem, instead of having an objective of maximizing profit or minimizing cost, generally the objective is to maximize the audience exposure
True
False
3. Media selection is an important decision that advertisers have to make. In most media selection decisions, the objective of the decision maker is to minimize cost.
True
False
4. The owner of Chips etc. produces 2 kinds of chips: Lime(L) and Vinegar(V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of saly, 6 ounces of flour, and 1 ounce of herbs to produce: while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of Lime chips are $0.40, and for a bag of Vinegar Chips $0.50. Which of the following is not a feasible production combination?
0L and 0V
0L and 1000V
1000L and 0V
0L and 1200V
5. The production manager for Liquor etc. produces 2 kinds of beer: light and dark. Two of his resources are constrained: malt, of which he can get at most 4800 oz per week: and wheat, of which he can get at most 3200 oz per week. Each bottle of light beer requires 12 oz of...

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Ashford MAT 222 WEEK 1 TO 5
Week 1, Assignment, Solving Proportions
Read the following instructions in order to complete this assignment:
1. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population.
2. Complete problem 10 on page 444 of Elementary and Intermediate Algebra. Show all steps in solving the problem and explain what you are doing as you go along.
3. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:
Your solution to the above problems, making sure to include all mathematical work, and an explanation for each step
A discussion of the following: What form of an equation do you end up with in problem 10? What do you notice about the coefficient of x compared to the original problem? Do you think there might be another way to solve this equation for y than with the proportion method? How would you do it?
An incorporation of the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Extraneous
Proportion
Cross multiply...