Consider the following propositions: Today is not sunny and cooler than last week. We will go shopping only if today is sunny. If we choose not to go shopping, then we will go to school. If we decide to go to school, then we will arrive at school by 5 pm. Please use these letters as abbreviations: P : It’s sunny today. Q: Today is cooler than last week. R: We will go shopping. S: We will go to school. T : We will arrive at school by 5 pm. Try to figure out what conclusion you can get from the above propositions

Construct the best questions to be suitable for the following answers: 1. My name is Said. 2. I am 15 years old. 3. I live in Jordan. 4. I have three brothers. 5. I drive 5 Kilometer to University. 6. I always go to university at 9:00am because my classes start early. 7. I will borrow 2000 USD. 8. It is mine. 9. I play football every Friday. 10. I go to the gym beside our house.

The following statement is given: If you will give me a smartphone, then I will give you crystal ball. From the following sentences, state the one that is the converse: a. If I will give you crystal ball, then you will not give me a smartphone. O b. If you will give me a smartphone, then I will not give you crystal ball. C. You will give me a smartphone and I will not give you crystal ball. O d. If you will not give me a smartphone, then I will not give you crystal ball. e. ○ f. If I will give you crystal ball, then you will give me a smartphone. If I will not give you crystal ball, then you will not give me a smartphone.

Answer all parts for the following DFA M and give reasons for your answers. 0,1 Soo a. Is € ADFA? b. Is € ADFA? c. Is € ADFA? d. Is € AREX? e. Is EQDFA? Sering Consecutive three's

2. Let's consider a compound propositions where A ="Angelo comes to the party", C="Carlo comes to the party", Represent the following statements into a Boolean expression: "If David comes to the party then Bruno and Carlo come too" a) b) c) d) e) B = "Bruno comes to the party", D="David comes to the party". "David comes to the party if and only if Carlo comes and Angelo doesn't come" "If David comes to the party, then, if Carlo doesn't come then Angelo comes" "Carlo comes to the party provided that David doesn't come, but, if David comes, then Bruno doesn't come" "Angelo, Bruno and Carlo come to the party if and only if David doesn't come, but, if neither Angelo nor Bruno come, then David comes only if Carlo comes"

Imagine playing a number guessing game. A side is a number from 0 to Nhe's holding it, and the other side is trying to find that number by taking turns guessing. Number-holding side estimatehe has to offer one of the following three options in response to the party that did it:1-Your guess is correct, you found the number I kept (Game Over).2-Your estimate is wrong, but you are closer to the correct estimate than the previous estimate.3-the wrong estimate and the correct estimate are further away than the previous estimate.To find the estimated number in an environment where all the information is these, astrategy will be followed: Make a prediction (N/2) from the exact middle of N with 1   Begin:Find out the answer to your guess. [answer=answer_ogren (guess)]If the answer is equal to 1, the game is over, you can leave.If the answer is equal to 2, you are going in the right direction, keep the forecast direction;If you're heading for small numbers, the new N is now N/2.Make a guess…

Explain..........   from the given option three are similar to each other because they follow the same patter identify the option that is dissimilar to the other three A. BCED B. EFhG c. KLNM D. RSVT

Find a proposition with three variables p,q and r  that is true when p and q are true, and r is false, and false otherwise. Construct a truth table to verify your answer

please show work cleary written.

Question 7 PS:Please choose the right answer only.