Create confidence intervals related to the interval and ratio-level data you collected.
Create an individual Excel document for each of the required items.
Law of exponents and expression and equations 2 topics
Law of exponents and expression and equations 2 topics
Fall 2020
1) For the following sequence, determine if it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence.
4, 9, 14, 19, 24, …
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
a) The sequence is geometric. The next term is 4, 9, 14, 19, 24, _________ .
b) The sequence is arithmetic. The next term is 4, 9, 14, 19, 24, __________ .
c) The sequence is neither arithmetic nor geometric.
2) A bass guitarist worked on 8 music projects last year. He wrote and produced 2 projects. He wrote a total of 3 projects. He produced a total of 7 projects. Use a Venn diagram to determine (a) how many projects he wrote but did not produce, and (b) how many projects he produced but did not write.
Complete the Venn diagram. Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced.
a) How many projects did he write but not produce?
______ project(s)
(Type a whole number.)
b) How many projects did he produce but not write?
______ project(s)
(Type a whole number.)
3) Construct a truth table for the given statement. Identify whether the statement is a tautology.
(q ∧ p) → (p ∧ q)
Is the statement a tautology?
a) The statement is not a tautology, since it is false for all combinations of truth values of the components.
b) The statement is a tautology, since it is true for all combinations of truth values of the components.
c) The statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false.
d) The statement is a tautology, since there is at least one combination of truth values for its components where the statement is true.
4) Convert the number to decimal form.
232eight
a) 56
b) 1232
c) 240
d) 154
5) Use the method of dividing by prime factors to find the least common multiple of 75 and 105.
The LCM of 75 and 105 is _______.
Letf(x) =x3−x−1 inQ[x] and letg(x) =x2+ 1.a. Show thatf(x) is irreducible inQ[x].b. Quote general theorems which guarantee that the principal idealA= (f(x)) is a maximal ideal inQ[x] and the factor ringF=Q[x]/Ais a field.c. Find polynomialsr(x) ands(x) such thatf(x)r(x) +g(x)s(x) = 1.Suggestion. Use the same idea as the Euclidean algorithm forZ, invoving divisors and remainders.d. Explain why the cosetg(x) +Ais a unit inFand find a coset that represents its multiplicativeinverse.1
Getting Started
In this assignment, you will create a presentation. This assignment will provide practice for assessing your knowledge and understanding of recognizing logical fallacies, creating truth tables, and completing Venn diagrams. This assignment will provide you with a good base knowledge for critical thinking.
Upon successful completion of the course material, you will be able to:
· Utilize critical thinking skills to evaluate quantitative information in everyday life.
· Formulate a plan based on the mathematical concepts that apply to a problem.
Resources
Logical Fallacies:
· Watch: Top 10 Logical Fallacies
· Watch: Understanding Various Types of Logical Fallacies
Truth Tables:
· Read: Truth Table Definition
· Watch: Logic 101 (#12) Truth Table Practice
· Watch: Pearson Truth Tables *Watch the first 15 minutes*
Conditional Statements:
· Watch: Introduction to Propositional Logic
· Read: Converse, Inverse, Contrapositive – Varsity Tutors
Sets and Venn Diagrams:
· Read: Introduction to Sets
· Read: Sets and Venn Diagrams
· Practice: Complete the questions at the end of the above link
· Read: Venn Diagram Symbols Explained (Christensen)
· Read: Venn Diagram 2-Circle Template
· Read: Venn Diagram 3-Circle Template
Instructions
1. Review the rubric to make sure you understand the criteria for earning your grade.
2. Create a 20 slide PowerPoint presentation or Prezi according to the directions below.
3. Each slide should include an explanation of every mathematical computation in either written or audio format. Review this website for help adding audio to a PowerPoint slide: https://support.office.com/en-us/article/add-or-delete-audio-in-your-powerpoint-presentation-c3b2a9fd-2547-41d9-9182-3dfaa58f1316. Include any reference or resource you use on the slide that you use it.
a. Slide 1: Title slide: include your name, date, instructor name, course, and assignment name. Provide a short explanation of how this course applies to your degree and how the concepts learned can be applied with your job or family life.
b. Slide 2: Provide an example and explanation of the Circular Reasoning fallacy.
c. Slide 3: Provide an example and explanation of the Hasty Generalization fallacy.
d. Slide 4: Provide an example and explanation of the Slippery Slope fallacy.
e. Slide 5: Provide an example and explanation of the Straw Man fallacy.
f. Slide 6: Provide an example and explanation of the Ad Hominem fallacy.
g. Slide 7: Provide an example and explanation of the False Dichotomy fallacy.
h. Slide 8: Provide an example and explanation of the Appeal to Emotion fallacy.
i. Slide 9: Provide an example and explanation of the Equivocation fallacy.
j. Slide 10: Provide an example and explanation of the Bandwagon Appeal fallacy.
k. Slide 11: Provide an example and explanation of the False Analogy fallacy.
l. Slide 12: Create and explain a truth table for the given statement: q and p. Assume that p and q represent propositions.
m. Slide 13: Create and explain a truth table for the given statement: not q or p. Assume that p and q represent propositions.
n. Slide 14: Create and explain a truth table for the given statement: (p or q) and r. Assume that p, q, and r represent propositions.
o. Slide 15: Create and explain a truth table for the given statement: (not q) or (r and p). Assume that p, q, and r represent propositions.
p. Slide 16: Write the converse, inverse, and contrapositive of the following proposition: If Jon lives in Colorado, then he enjoys skiing. Of these four propositions, explain which pairs are equivalent.
q. Slide 17: Make up your own proposition. Write the converse, inverse, and contrapositive of your proposition. Of these four propositions, explain which pairs are equivalent.
r. Slide 18: Draw a Venn diagram with two overlapping circles (four regions) for two sets that represent Women and Mathematicians. Add the following names to the correct region:
i. Rosa Parks (1913 – 2005)
ii. Isaac Newton (1643 – 1727)
iii. Nelson Mandela (1918–2013)
iv. Mary Somerville (1780 – 1872)
v. Blaise Pascal (1623 – 1662)
vi. Emily Dickinson (1830–1886)
vii. Dorothy Johnson Vaughan (1910 – 2008)
viii. George Washington (1732–1799)
s. Slide 19: Draw a Venn diagram with three overlapping circles (eight regions) for three sets that represent Cats, Dogs, and Birds. A survey was taken of 100 households asking what types of pets they have in their house with the following results:
i. 28 households have Birds.
ii. 31 households have Cats.
iii. 42 households have Dogs.
iv. 9 households have Birds and Cats.
v. 10 households have Birds and Dogs.
vi. 6 households have Cats and Dogs.
vii. 4 households have all three types of pets.
viii. Answer the following questions:
1. How many households do not have any pets?
2. How many households have Birds, but not Cats or Dogs?
3. How many households have Cats and Birds but not Dogs?
t. Slide 20: Write one paragraph (5-8 sentences) reflecting on the following prompts:
i. What were the main mathematical concepts or ideas that you learned this week?
ii. Describe a mistake or misconception that you or a classmate had in class. What did you learn from this mistake or misconception?
iii. What were some of your strengths and weaknesses in this unit? What is your plan to improve in your areas of weakness?
Getting Started
In this discussion, you will find a news article or report that contains a conditional statement. State the premise and conclusion and comment on the truth of the statement.
Upon successful completion of the course material, you will be able to:
· Communicate quantitative problems and their solutions clearly and correctly in written or oral form.
· Utilize critical thinking skills to evaluate quantitative information in everyday life.
· Formulate a plan based on the mathematical concepts that apply to a problem.
Resources
Conditional Statements:
· Watch: Introduction to Propositional Logic
· Read: Converse, Inverse, Contrapositive – Varsity Tutors
Instructions
1. Review the rubric to make sure you understand the criteria for earning your grade.
2. In the 4.2 Discussion forum, respond to the following:
a. Find a news article or advertisement in which a conditional statement is used. If necessary, rephrase the statement in standard if p, then q form.
b. State the premise and the conclusion.
c. Write the converse, inverse, and contrapositive of the original conditional statement.
d. State which of these four statements is logically equivalent and explain why.
e. Post the link to any online resources you used.
3. Your initial posting needs to thoroughly answer the discussion question, using critical thinking and thoughtful reasoning.
On Saturday, Ashley planned to make pancakes for breakfast. To make 1 ½ batches of pancakes, she needs 2 1/3 cups of flour. There are 5 ¼ cups of flour in the kitchen. How much flour was left after she made the pancakes?
answer in QTIPS format attached
i need someone to complete 70 questions for a final exam that is due tonight at 8pm pacific time.
You will complete a Calculations and Report Document for this project. In part one, you will represent problems as mathematical expressions that you will then solve. In part two, you will explain what your calculations mean and how they inform your thinking about the problems. The ability to solve problems with math will help you with everything from managing your finances to baking new recipes.
In this project, you will master the following competency:
You work at All-Store, a large general store that sells everything from groceries and office supplies to medicine, toys, and books. Unfortunately, the company’s profits have been down for the last six months because of competition, specifically from other local businesses and online vendors.
Jill Oliviera, All-Store’s general manager, has decided to rethink the store’s business strategies. One of her new ideas is to focus the business on just a few departments. This way, All-Store can specialize in those areas rather than continuing to support all of the current offerings.
Due to declining sales and the upcoming changes, Jill is worried about the business’s finances. She’s given you access to several company files and asked you to prepare a report. Your report should cover different situations that the business may face in the coming months.
Your manager is looking for your recommendations for how the store could best respond to: declining sales, reducing staffing, and purchasing the building.
To do this, download and fill out the Calculations and Report Document in the “What to Submit” section.
As you complete part one of this document, break down each of the three problems individually. When representing problems as expressions, don’t be afraid to try a few equations for each step to see what works. Use information and data from the company files in the “Supporting Materials” section to answer the questions.
In part two, give your recommendations to your manager: what do you think the company should do about declining sales, reducing staffing, and purchasing the building? Be sure to support your recommendations with quantitative evidence. Then, explain how you used mathematical expressions to solve these problems.
When you have completed both parts of the Calculations and Report Document, you can submit it as your deliverable.
Every project has a deliverable or deliverables, which are the files that must be submitted before your project can be assessed. For this project, you must submit the following:
Calculations and Report Document
Download and complete the Calculations and Report Document. Make sure that you have answered all of the questions in part one and part two.
The following resources will help support your work on the project:
Company Files
Writing Guide
Use the tutorials and resources in the Writing Guide document if you need help with the writing aspects of this project.
