I. True/False

1. A = B if and only if B ∈ A and A ∈ B.

2. A ∩ (B ? C) = (A ? B) ∩ (A ? C)

3. (A^{c})^{ c} = A

4. B ∩ B^{c} = Ø

5. If A and B are two sets that are not disjoint, then n(A ? B) = n(A) + n(B).

6. If x ∈ (A ∪ B), then x ∈ A and x ∈ B.

7. If x ∈ A and A ⊂ B, then x ∉ B.

8. If B = {1}, then the subsets of B include {1) and {Ø}.

II. Multiple Choice

10. If x ⊂ (C ∪ D) then it is possible that

a. x ∈ C but x ∉ D

b. x ∈ C^{c}

^{ }c. x ⊂ C^{c}

^{ }d. x ∉ D and x ∉ C

III. Matching

11. e

For disjoint sets, n(A ∪ B) = n(A) + n(B)

12. a

For not disjoint sets, n (A ∪ B) = n(A) + n(B) - n(A ∩ B)

IV. Fill in the Blank

13. __________________ notation is the standard notation to use when denoting sets (such as A = {1, 2, 3}), but ___________________________ notation is just as effective, although it does not require more writing.

14. When two sets have nothing in common they are said to be __________________, which is denoted by n(A ∩ B) = __________________________________.

15. If there are 3 ways of performing task T and 2 ways of performing task Q, then I can determine that there are ____ number of ways of performing task T followed by task Q using the ______Principle.

V. Short Answer

16 b. Consider the new universal set U with subsets C and D, where n(U) = 250, n(C) = 120, n (C ∪ D) = 130, and n(C ∩ D) = 60. Answer the following:

i. What is n(C^{c})?

ii. What is n(D)?

iii. What is n(D^{c})?

iv. Draw all of this using Venn Diagrams. Be sure to indicate n(U), n(C), n(D), and n(C ∩ D) in your illustration.

Using three circle Venn Diagrams (with the universal set U and subsets A, B, and C), shade the portion that corresponds to the following:

17 b. (A ∩ B^{c}) ∪ C

18. Let U= {5,10,15,20} and let A = {5,15,20}, B = {5,10,15}, and C = {5, 20}. Answer the following questions:

a. What are all of the subsets of U? List them all.

b. List the elements of the set (C ∪ B^{c}).

c. List the elements of (A ∩ C)^{c}.

d. List the elements of A^{c} ∪ (B ∩ C)^{c}.

e. Regarding the subsets A, B, and C, which is a subset of the other? Please show using proper notation.

What were the weeks of supply this year : Image text transcribed for accessibility: Mattress Wholesalers, Inc., is constantly trying to reduce inventory in its supply chain. Last year, cost of goods sold was $7.5 million and inventory was $1.5 million |

Multiple choice questions : All blood cells in an adult human can trace their ancestry to which compartment within the body? |

Percent removal of organic matter : If the BOD5 of the river below the mill outfall must not exceed 5 mg/L, what percent removal of organic matter (BOD5) is required by the mill to meet this requirement? |

Describe purpose of queue in breadth-first traversal : Describe the purpose of queue in breadth-first traversal? Assume you had function call displayAtDepthN, which when given tree and depth would display only nodes at that depth. |

Draw all of venn diagrams : Draw all of Venn Diagrams - Using circle Venn Diagrams and What are all of the subsets of U? |

Demonstrate how each element of human resource is strategic : Demonstrate how each element of human resource strategic planning supports the other elements through a (brief) scenario showing the likely consequences if one element is mishandled. |

Decentering of culture : Examine and interpret the following quotation: Worldwide, non-Western cultures faced fundamental challenges to their cultural identities not so much a recentering of culture but a decentering of culture. |

The corporation has little experience with either set up : Because the corporation has little experience with either, set up like the other division sin a traditional hierarchy and production system, converting to total quality and JIT/ Lean little by little as time and experience permit |

Types of sexual harassment : Critically discuss famous two types of sexual harassment. Discuss why women and men have different life expectancies. |

## Perform the hypothesis testWhat are the assumptions made in performing the hypothesis test in Question 3? Are these assumptions reasonable? Provide explanation to substantiate your view. |

## Evaluate the project payback period and profitability indexDraw a time line to show the cash flows of project. Evaluate the projects payback period, profitability index net present value and internal rate of return |

## Use correlation coefficient to identify collocationsWould there be a possibility to use the correlation coefficient to identify collocations and Compare with the Chi2 test and How could we maybe do that |

## What is the null hypothesisIs the mean Hemoglobin level of a group of high-altitude workers different from 16g/cc and does the mean speed of 50 cars as checked by radar on a I-70 differ from 65mph? |

## Is there a significant correlationWhat test or tests would you use to rule out chance from causing the apparent differences in these data and is there a significant correlation? |

## Perform a factor analysis on the variablesPerform a factor analysis on the three variables shown in question 2 above. What do conclude about the factors? Perform another factor analysis that includes the new variable, change in external events. What do you conclude? |

## What is the overall accuracy of the testA screening test for a newly discovered disease is being evaluated. In order to determine the effectiveness of the new test, it was administered to 900 workers; 150 of the individuals diagnosed with the disease tested positive. |

## Evaluate the expected value of the total number of salesEvaluate the expected value of the total number of sales |

## Importance of the independent variable in linear regressionDiscuss the importance of the independent variable in Linear Regression. |

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd