Construct a formal proof of validity for each of the following arguments: Either Gonzales attended the meeting or Gonzales was not invited to the meeting. If the directors wanted Gonzales at the meeting, then Gonzales was invited to the meeting. Gonzales did not attend the meeting. If the directors did not want Gonzales at the meeting and Gonzales was not invited to the meeting, then Gonzales is on his way out of the company. Therefore, Gonzales is on his way out of the company. p: Gonzales attended the meeting. q: Gonzales was invited to the meeting. r: The directors wanted Gonzales at the meeting. s: Gonzales is on his way out of the company.

ExcelYou must answer the following question (obviously leaving a trace of the calculations made to answer it): If we start at site 0 (therefore p0=1 and all the others pi=0), after how many steps n the probabilities pin are they all close to the asymptotic probabilities πi at most 0.001, ie |pin-πi|≤ 0.001? To answer this question, follow the following steps (see example in image). To be efficient, consider using incrementing, cell calling, etc.(a) On line 2, enter a step counter starting at step 0.(b) On lines 4 and following, indicate the vectors of probabilities pin, so step 0 corresponds to the initial vector, then in the next column, in the column identified by step 1, the vector of probabilities after a step , etc.(c) On lines 15 and following, check if the distance between pin and πi is smaller; in the step 0 column, line 15, indicate: "=ABS(A4-cell containing π0)<=0.001". Then increment (blocking the addresses to be) to check the distances between each pin. Finally,…

Kevin plans to employ a Boolean operator as he is inclined towards investigating two discrete fields of study. It is imperative for Kevin to utilise the appropriate Boolean operator during the process of conducting a search in order to obtain dependable outcomes.

please explain step by step!