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Decide on a phrase/words that does not justify features of patterns

1.         skip counting

2.         has core and units

3.         have elements

4.         appear twice to understand 



A card is drawn at random from a pack of 52 cards.find the chance that, it is red it is king it is either red or a king

3. The probability that a family prefers tea of brand A is 0.3. Find the probability that the tenth family in a survey is found to be fifth one, who prefer tea of brand A.

P rove that all real of the form a + b 2 , a; b ∈ Z form s a ring.


P rove that all real of the form a + b 2 , a; b ∈ Z form s a ring.


Translate the given statements into propositional logic using the propositions provided


To use the wireless network in the airport you must pay the daily fee unless you are a subscriber to the service. Express

your answer in terms ofw: “You can use the wireless network in the airport,” d: “You pay the daily fee,” and s: “You are a

subscriber to the service.”


Translate the given statements into propositional logic using the propositions provided


You can graduate only if you have completed the requirements of your major and you do not owe money to the

university and you do not have an overdue library book. Express your answer in terms of g: “You can graduate,” m: “You

owe money to the university,” r: “You have completed the requirements of your major,” and b: “You have an overdue

library book.”


Translate the given statements into propositional logic using the propositions provided


You can see the movie only if you are over 18 years old or you have the permission of a parent. Express your answer in

terms of m: “You can see the movie,” e: “You are over 18 years old,” and p: “You have the permission of a parent.”


Solve the differential equation (D^3+D^2+D+1)y=Sinx

You cannot edit a protected Wikipedia entry unless you are an administrator. Express your answer in terms of e:“You can edit a protected Wikipedia entry” and a: “You are an administrator.”


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