Concept explainers
Describe at least one way that mathematics is involved in each issue below.
Explanation of Solution
Given:
Example: The spread of AIDS: Mathematics is used to study the probability of contracting AIDS.
- The long term viability of the Social Security system
- The appropriate level for the federal gasoline tax
- National health care policy
- Job discrimination against women or ethnic minorities
- Effects of population growth (or decline) on your community
- Possible bias in standardized tests (e.g., the SAT)
- The degree of risk posed by carbon dioxide emissions
- Immigration policy of the United States
- Violence in public schools
- Whether certain types of guns or ammunition should be banned
- An issue of your choice from today’s news
- The long-term viability of the Social Security system:
- The appropriate level for the federal gasoline tax:
- National health care policy:
- Job discrimination against women or ethnic minorities:
- Effects of population growth (or decline) on your community:
- Possible bias in standardized tests (e.g., the SAT):
- The degree of risk posed by carbon dioxide emissions:
- Immigration policy of the United States:
- Violence in public schools:
- Whether certain types of guns or ammunition should be banned:
- An issue of your choice from today’s news:
Mathematics is used to study of statistics of how long the Social Security system is capable.
Mathematics is used to study excise tax on gasoline per gallon.
Mathematics is used to study statistics of what type of health care policy required in the state.
Mathematics is used to study workplace gender discrimination in the country.
Mathematics is used to study fertility, mortality, and migration trends to make projection about population growth and decline.
Mathematics is used to study probability of the undeserved students who are getting admission through standardized tests.
Mathematics is used to study the probability of death cases due to carbon dioxide emissions.
Mathematics involved in this case calculating the total transit of people across its borders into the country, and we can calculate the total people who intend to work and who stay in the country.
Mathematics is used to study the probability of the students involved in the criminal activity.
Mathematics involved calculating the killing cases by certain types of guns or ammunition.
The news states “US has foolishly given Pakistan more than 33 billion dollars in aid over the last 15 years, and they have given us nothing but lies & deceit.”
Mathematics is used to study the total amount went to Pakistan for CSF (Coalition Support Funds) Reimbursement, Security related and Economic Related.
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Chapter P Solutions
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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- Refer to page 100 for problems on graph theory and linear algebra. Instructions: • Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors. • Interpret the eigenvalues in the context of graph properties like connectivity or clustering. Discuss applications of spectral graph theory in network analysis. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 110 for problems on optimization. Instructions: Given a loss function, analyze its critical points to identify minima and maxima. • Discuss the role of gradient descent in finding the optimal solution. . Compare convex and non-convex functions and their implications for optimization. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 140 for problems on infinite sets. Instructions: • Compare the cardinalities of given sets and classify them as finite, countable, or uncountable. • Prove or disprove the equivalence of two sets using bijections. • Discuss the implications of Cantor's theorem on real-world computation. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forward
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