
Concept explainers
One hundred new books are released nationally over a busy 3-day stretch in December. Eight had an e-book version available only on Amazon, 5 were available only on Google books, and 18 were available only on iTunes. There were 26 total available on Google, 7 that could be found on both Amazon and Google but not iTunes, and 4 that could be found on both iTunes and Google but not Amazon. Draw a Venn diagram representing this information and use it to answer the following questions.
- (a) How many books were available on all three services?
- (b) Explain why you can’t find the number of books that were not available on any of the three services.
- (c) If every book released was available as an e-book on at least one of Amazon, Google, or iTunes, how many were available on Amazon and iTunes but not Google?
- (d) In that case, how many were available on exactly two of those three services?

Want to see the full answer?
Check out a sample textbook solution
Chapter 2 Solutions
Math in Our World
Additional Math Textbook Solutions
Pathways To Math Literacy (looseleaf)
Precalculus
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Precalculus: A Unit Circle Approach (3rd Edition)
APPLIED STAT.IN BUS.+ECONOMICS
Elementary Statistics: Picturing the World (7th Edition)
- Given your fitted regression line, what would be the residual for snake #5 (10 C)?arrow_forwardCalculate the 95% confidence interval around your estimate of r using Fisher’s z-transformation. In your final answer, make sure to back-transform to the original units.arrow_forwardCalculate Pearson’s correlation coefficient (r) between temperature and heart rate.arrow_forward
- Calculate the least squares regression line and write the equation.arrow_forwardTest the null hypothesis that the slope is zero (e.g., β=0).arrow_forwardDo College Students With Part-Time Jobs Sleep Less? College students were surveyed about the number of hours they sleep each night.Group A = With part-time jobs | Group B = Without jobs Group A: 6, 5, 7, 6, 5Group B: 8, 7, 9, 8, 7 Instructions: State your hypothesis and perform a two-sample t-test with all formulas. Create histograms for each group. Label axes and add titles. Comment on the distribution shape (e.g., normal, skewed, etc.).Solve on pen and paperarrow_forward
- H0: mean egg weight is the same in all three diets HA: there is at least one difference among the meansarrow_forwardThis is advanced mathematics question that need detailed solutionsarrow_forwardQuestion: Let F be a field. Prove that F contains a unique smallest subfield, called the prime subfield, which is isomorphic to either Q or Zp for some prime p. Instructions: • Begin by identifying the identity element 1 € F. • Use the closure under addition and inverses to build a subring. • • • Show that either the map ZF or Q →F is an embedding. Prove minimality and uniqueness. Discuss the characteristic of a field and link it to the structure of the prime subfield.arrow_forward
- Topic: Group Theory | Abstract Algebra Question: Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe the number of Sylow subgroups for each. Instructions: • Use Sylow's Theorems (existence, conjugacy, and counting). • List divisors of 45 and compute possibilities for n for p = 3 and p = 5. Show that if n = 1, the subgroup is normal. Conclude about group structure using your analysis.arrow_forwardTopic: Group Theory | Abstract Algebra Question: Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe the number of Sylow subgroups for each. Instructions: • Use Sylow's Theorems (existence, conjugacy, and counting). • List divisors of 45 and compute possibilities for n for p = 3 and p = 5. Show that if n = 1, the subgroup is normal. Conclude about group structure using your analysis.arrow_forwardTopic: Group Theory | Abstract Algebra Question: Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe the number of Sylow subgroups for each. Instructions: • Use Sylow's Theorems (existence, conjugacy, and counting). • List divisors of 45 and compute possibilities for n for p = 3 and p = 5. Show that if n = 1, the subgroup is normal. Conclude about group structure using your analysis.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,



