Consider the following sequence of items 10, 36, 25, 54, 37, 12, 75, 68, 42, 86, 72, 90. Insert these items in the order above, into an initially empty implicit binary max-heap. Show the heap throughout the process but write down the heap as an answer after every 3 INSERT() operations. (Just hand-simulate the behavior of the implicit binary max-heap, and draw the resulting heap, both throughout the entire process and the ones after every 3 INSERT() operations as answers (note that the former is to show all your work so that partial credits can be given in case you make mistakes, while the latter (answers) are the ones to be graded). Draw them in the form of a tree rather than an array.)

Mary's manager told her she should insert a graphic into her documentwrite mary a brief note describing how to insert a graphicin a word processing document.

Consider a slotted aloha system, where the time slot equals the fixed duration of each packet. assume that there are 4 stations a,b,c,d sharing the medium. (a) stations a,b,c,d receive one packet each from higher layers at times 1.3, 1.5, 2.6,5.7 respectively. show which transmissions take place when, according to the slottedaloha protocol; describe all transmissions until all four packets have been successful.when needed, each station has access to the following sequence of random number, provided by a random number generator and drawn uniformly between 0 and 1: (1) station a draws numbers: 0.31, 0.27, 0.78, 0.9, 0.9, 0.11, 0. (2) station b draws numbers: 0.45, 0.28, 0.11, 0.83, 0.37, 0.22, 0. (3)station c draws numbers: 0.1, 0.2, 0.3, 0.4, 0. (4) station d draws numbers: 0.36, 0.77, 0.9, 0.1, 0.1, 0.1, 0.1, 0. (b) in slotted aloha, a station transmits in each time slot with a given probability. what probabilities would you assign to each of the four stations so as to: (i) maximize the efficiency of the protocol? (ii) maximize fairness among the four stations? (c) will the efficiency increase or decrease if we modify slotted aloha as follows: (i) get rid of slots and allow stations to transmit immediately? (ii) implement carrier sensing? (iii) implement collision detection? (iv) implement collision avoidance?

Ahousehold consists of a married couple and their twin five-year old daughters. the couples children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last years tax return or they file with the “ married filing jointly “ status? a. 4 b. 5 c. 3 d. 2