Category: Mathematics Homework Help

Do not copy answers from Chegg or CourseHero, or any other online source. These must be original answers that you solve and answer. Use attached source if needed: Book: Discrete Mathematics – An Open Introduction.pdf (only first 5 chapters)

1.) Write a predicate calculus statement that involves a universal and an existential quantifier. The domains for each quantifier should be one of the numeric sets, the natural numbers, the integers, the rational numbers or the real numbers. Indicate whether the statement is true or false. If it is false, provide a counterexample. Write the negation of the original statement. If the negation is false, provide a counterexample.

2) Propose a rule of inference that includes at least three independent variables, and at least two premises, each containing at least one logical operation. The conclusion must contain at least two logical operations. Using a truth table, assess whether your proposal is a valid rule of inference.

3) Provide an example of a proof by mathematical induction. Indicate whether the proof uses weak induction or strong induction. Clearly state the inductive hypothesis. Provide a justification at each step of the proof and highlight which step makes use of the inductive hypothesis.

4) Choose a real world example that makes use of a Venn diagram that involves at least three sets. Explain why a Venn diagram is a useful for this example. Discuss the significance of the intersection and union of the various sets.

5) Give an example of a partial order relation that is defined on a finite set that contains at least ten elements. State what the set is and how the partial order is defined. Show that the relation satisfies the three properties required of partial order. Draw a directed graph for that partial order

6) Give an example of a function that is defined on the set of integers that is not a one-to-one function. Identify two values that are mapped to the same value to demonstrate that it is not one-to-one. Give an example of a function that is defined on the set of rational numbers that is not an onto function. Identify one value that is not mapped to, to demonstrate that it is not onto. Give an example of a function defined on the real numbers that is a one-to-one correspondence. Define the inverse of that function.

7) Give a real-world example of the inclusion/exclusion principle that involves at least two finite sets. Specify values for three of the following four values: the size of the first set, the set of the second set, the size of the union and the size of the intersection. Apply the inclusion/exclusion principle to determine that value of the one value that you did not specify.

8) Give an example of a connected undirected graph that contains at least twelve vertices that contains at least two circuits. Draw that graph labeling the vertices with letters of the alphabet. Determine one spanning tree of that graph and draw it. Determine whether the graph has an Euler circuit. If so, specify the circuit by enumerating the vertices involved. Determine whether the graph has an Hamiltonian circuit path. If so, specify the circuit by enumerating the vertices involved.

HI! I have 3 MATLAB coding labs that need to be completed but I am unsure of how to do it. I will give my info on how to get into my Matlab for you to complete. They are small labs. The first lab is due 7/22, the second lab is due 7/23, third and final lab is due 7/28.

lab 1 – http://falcon.tamucc.edu/~mathweb/wp-content/docs/…

lab 2 – http://falcon.tamucc.edu/~mathweb/wp-content/docs/…

lab 3 – https://learn-us-east-1-prod-fleet01-xythos.conten…

In a class of 50 students, 33 are democrats, 17 are business majors and 5 of the business majors are democrats if one student is selected from the class find the probability of choosing a democrat or a business major.

Im looking for a tutor who has foundation in the following topics trigomertic functions and characteristics functions, and can use the provided rubrics to solve the provided assignment.

Apply a business decision model to something you do every day, such as selecting an outfit, ordering lunch, or determining your exercise routine. Be creative in your approach. How did you select the model? Include rationale with support from the readings. One Resource must be used.

Book used:

Anderson, D., Williams, T., Fry, M., Sweeney, D., Camm, J., Ohlman, J., & Cochran, J. (2016) Quantitative methods for business, 13^th edition.

Prompt

1. Describe the distribution of credit card debt separated by gender using concepts from Unit 2 (Modules 4-7).
   • Make an appropriate graph and provide appropriate numerical summaries.
   • Describe the shape, center, and spread using numerical measures that best describe the distribution.
   • In your description, include an interval of typical values and a discussion of variability.
   • Embed your StatCrunch graph and table of numerical summaries in your response.
2. Do the data suggest that males or females are more likely to have higher credit card debt?
   • Use the data to support your answer.

WEIGHT IAT VARIABLES FOR QUESTION 3

Quantitative Variable
IAT-Weight-Score: Score on the Weight IAT

Categorical Variable (choose one)
Birth-Gender: 1=Male; 2=Female
OR
Ethnicity: 1=Hispanic or Latinx; 2=Not Hispanic or Latinx (ignore 3=unknown)

Weight IAT variable descriptions (opens in a new tab).

QUESTION 1

1. Which IAT data set are you working with?
2. Use StatCrunch and your unique IAT sample to estimate the mean age for the population of IAT participants at the 90% confidence level. Copy the contents of your StatCrunch output window and paste it into your response. (No need to type anything here – just copy and paste the contents of your StatCrunch output window.)
3. Are conditions met to estimate the mean age for the population of IAT participants? (Be sure to support your answer as demonstrated throughout Unit 8.)
4. State the confidence interval, and then interpret the confidence interval in context.
5. What is the margin of error (MOE)?
6. Which would be more accurate, the 90% confidence interval you found or an 85% confidence interval? Briefly explain. Which would be more precise? Briefly explain.

QUESTION 2

At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population.

1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable.
2. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain.
3. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response.
4. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for either a one-tailed or a two-tailed test, you do not need to change the StatCrunch P-value.)
5. Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.
   Std. Err (standard error)
   T-stat (T-score)
   P-value

QUESTION 3

PREPARE TO WORK THROUGH QUESTION 3

• See the Variables for Question 3 Only section above to learn which variables to use for your chosen IAT data set.
• Choose only one of the categorical variables listed for your chosen IAT data set and note the two groups for your chosen categorical variable.
• Here is the question to be investigated for the two groups in your chosen categorical variable.
  Do the population of IAT participants in one group score higher on the IAT test than the population of IAT participants in the other group?

TO ANSWER THE QUESTION WE ARE INVESTIGATING, RESPOND TO EACH OF THE FOLLOWING

1. Use StatCrunch to determine the sample size and sample mean, , for the two groups in your chosen categorical variable (directions).
   • Copy your StatCrunch output table and paste into your response. Then relabel the categorical variable groups with the appropriate word(s), i.e. replace the group numbers with the appropriate word(s) to describe the group (see the Categorical Variable section above for your data set).

1. • Which of the two groups has the smallest sample mean? Which has the largest sample mean?
2. Let 1${\mu }_1$ be the population mean for the group with the largest sample mean. Let 2${\mu }_2$ be the population mean for the group with the smallest sample mean. State the null and alternative hypotheses (symbolically and in words). Include a clear description of the populations and the variable.

3. To test your hypotheses, is it appropriate to use the two-sample T-test? If so, explain why and provide any supporting evidence. If not, start over and choose the other categorical variable listed with your chosen IAT data set.
   • WARNING: If it is not appropriate to use the two-sample T-test for either of the categorical variables listed with your IAT data set, something may be wrong. Stop and contact me as soon as possible.
   • Proceed only if it is appropriate to use the two-sample T-test.
4. Use StatCrunch to carry out the test. (directions)
   Copy the content in the StatCrunch output window (text and the table) and paste it into the textbox as your response to this item.
5. Use a 5% significance level to state a conclusion. Be sure to state your conclusion in context and in terms of what a “more positive score” on the IAT means for your data set. (Hint: in the variables section above, click on the variable descriptions link for your data set. The variable descriptions page opens in a new window. Review the Interpreting the IAT section at the top of that page.)

10.1 .. Exercises 1-29 Odd only additionally 14,16 ,18 also 35

10.2  .. Exercises 2,5,11-19 Odd only , 29 

i attach picture of the homework question and 

and this is the  book online https://drive.google.com/file/d/1dpzOfO5DT0-CGDGrS…

The accompanying table shows the educational attainment of the population of Country X, ages 25 and over. Use the data in the table, expressed in millions, to solve the problem.

Find the probability, expressed as a simplified fraction, that a randomly selected person from Country X, age 25 or over, has not completed four years of high school.