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For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct? 
Consider the following statements in respect of sets: 1. The union over the intersection of sets is distributive. 2. The complement of the union of two sets is equal to the intersection of their complements. 3. If the difference between the two sets is equal to the empty set, then the two sets must be equal. Which of the above statements are correct?
A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?
We have been given a dataset with n records in which we have input attribute as x and output attribute as y. Suppose we use a linear regression method to model this data. To test our linear regressor, we split the data in training set and test set randomly. Now we increase the training set size gradually. As the training set size increases, what do you expect will happen with the mean training error?
Let N be the set of natural numbers. Consider the following sets. P: Set of Rational numbers (positive and negative) Q: Set of functions from {0, 1} to N R: Set of functions from N to {0, 1} S: Set of finite subsets of N. Which of the sets above are countable?
Which of the following statements are true with regards to the selection of a sample size? (i) The sample size (n) may be a fixed percentage of lot size (N). (ii) The sample size (n) may be kept constant irrespective of lot size (N). (iii) Sample size (n) can be selected at the personal whim of the inspector.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statement. Statement: All refrigerators are television sets. Some speakers are television sets. All speakers are fans. Conclusion: I. Some fans are television sets. II. Some television sets are refrigerators. III. No fans is a speaker
A manufacturer of TV wants to make a profit of Tk. 3,00,000 on sale of 200 TV sets. It costs Tk. 10000 to make each of the first 100 TV sets and Tk. 7500 make each TV set after the first 100 sets. What should be the selling price of each TV set?
A manufacturer of TV wants to make a profit of Tk. 30000 on sale of 200 TV sets. It costs Tk. 10000 to make each of the first 100 TV sets and Tk. 7500 make each TV set after the first 100 sets. What should be the selling price of each TV set?
There are two sets given below in which Set I offers types of learner's characteristics and Set II gives their description. Match the two sets:   Set I (Learner’s   Characteristics)    Set II (Description) a. Academic Characteristics i. Learner encodes and decodes relevant messages correctly b. Social Characteristics ii. Learner selects different themes in his/her course when needed c. Emotional Characteristics iii. Learner works as a team member of the peers d. Cognitive Characteristics iv. Learner starts respecting the individual differences evident in likes and dislikes of members of his class Choose the correct answer from the following options: