One of your start-ups uses error-correcting codes, which can recover the original message as long as at least 1000 packets are received (not erased). each packet gets erased independently with probability 0.8. how many packets should you send such that you can recover the message with probability at least 99%?

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?