A student suggests that for any two sets A and B: Statement 1: AUB' = (B/A)'...

A student suggests that for any two sets A and B: Statement 1: AUB' = (B/A)' Statment 2: AUB' will never contain an element in set B Is each of these statements correct or incorrect? Use and example or visual representation in your explanation please.

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orchestra answered 2 years ago

Consider any two finite sets A and B. Prove that |A×B|=|A||B|

1) a) Prove that the union of two countable sets is countable. b) Prove that the...

1) a) Prove that the union of two countable sets is countable. b) Prove that the union of a finite collection of countable sets is countable.

Averages and variation Consider two data sets A and B. The sets are identical except the...

Averages and variation Consider two data sets A and B. The sets are identical except the high value of the data set B is three times greater than the high value of data set A. (a) How does the median of the two data sets compare? (b) How do the means of the two data sets compare? (c) How do the standard deviations of the two data sets compare? (d) How do the box- and –whisker plots of the two...

Decide, with justification, if the following set properties are true for any sets A, B, and...

Decide, with justification, if the following set properties are true for any sets A, B, and C. 1. A∪(B∩C)⊆A. 2. A∪(B∩C)⊆B. 3. A ∩ B ⊆ A 4. B ⊆ A ∪ B 5. A ⊆ B ⇒ A ∪ B ⊆ B. 6. A ∪ B ⊆ B ⇒ A ⊆ B. 7. A⊆B⇒A∩B=A. 8. A ∩ B = A ⇒ A ⊆ B 9. A∩(B∪C)⊆A∪(B∩C) 10. A∪(B∩C)⊆A∩(B∪C) 11. A\(B∩C)=(A\B)∪(A\C)

Prove the following statements! 1. If A and B are sets then (a) |A ∪ B|...

Prove the following statements! 1. If A and B are sets then (a) |A ∪ B| = |A| + |B| − |A ∩ B| and (b) |A × B| = |A||B|. 2. If the function f : A→B is (a) injective then |A| ≤ |B|. (b) surjective then |A| ≥ |B|. 3. For each part below, there is a function f : R→R that is (a) injective and surjective. (b) injective but not surjective. (c) surjective but not injective. (d)...

True or False? For any two events A and B, P(A∩ B) ≥ 1 − P(A∪...

True or False? For any two events A and B, P(A∩ B) ≥ 1 − P(A∪ B) True or False? For any two independent events A and B, P(A| B) = P(A| Bc ) Compute B(6, .2, 2)

Prove the following using any method you like: Theorem. If A, B, C are sets, then...

Prove the following using any method you like: Theorem. If A, B, C are sets, then (A ∪ B) \ C = (A \ C) ∪ (B \C) and A ∪ (B \ C) = (A ∪ B) \ (C \ A)

Write a program in Java that will take as input two sets A and B, and...

Write a program in Java that will take as input two sets A and B, and returns a list of all functions from A to B.

1. Using any data sets, run two multiple regression equations. state the dependent and independent variable...

1. Using any data sets, run two multiple regression equations. state the dependent and independent variable ( you need to start with at least three and end with at least two) and how you believe they will be related. Run the regression equation until you get to the final model. Then test for the assumptions and interpret the necessary statistics. (use excel Megastat). Please select from any of the data sets. Real Estate Data Price Bedrooms Size Pool Distance Twnship...

Construct a 95% confidence interval for data sets A and B. Data sets A and B...

Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. Assume that the paired data came from a population that is normally distributed, and round your final answer to three decimal places. setA: 30 28 47 43 31 setB: 28 24 35 35 22 A) What is the mean of the differences( )? B) What is the standard deviation of the differences( )? C) What is the critical t-value( )? D) What...

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