Mary Ann didn't know if her eyes were playing tricks on her or what. When she first looked at the people in the park from the hill she was sitting on, it looked as if they were all in groups of two. Those groups of two seemed to drift together to form groups of four, and then there were two people left over. The next time she looked they appeared to be in groups of three, but the same two were left over. As she double-checked, it seemed as though those groups of three completely transformed themselves into groups of five, and this time there were four left over. There were less than a hundred people at the park. How many were there

Evaluate the expression. (9 + 5)(3 + 2)0

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 ?

Calculate the scale factor of the dilation around the center of dilation c the preimage is blue and the image is red