Given the equation and table below, determine whether each statement about the functions f (z) and g (z) is true or false. f(2) = 2 - 2 %3D z 9(z) -4 -11 -2 -7 2 4

Please solve the problem max 30-40 minutes with the step thank u 1.  The sales manager of an insurance company told his newly hired salesman that about 30 percent of the people who inquire about life insurance policies actually buy such a policy, and 70 percent do not. According to the records of the company, 40 percent of the people who bought life insurance had an annual income between $10,000 and $30,000 while only 20 percent of those who did not buy life insurance had the same level of income. One person who inquired about insurance had an income of $15,000. What is the probability that this man will buy an insurance policy? What  is the probability that a person who has an income of $.50,000 will buy an insurance policy?

USA. Benjamin Banneker (1731-1806) is one of the great American heroes of all time. The son and grandson of Africans captured and enslaved, he was fortunate to have been born free. He inherited the family farm where he worked hard all of his life. As a child he had a few months of schooling. Everything else he had to do on his own. He loved mathematics and science but did not get a chance to learn astronomy until he was in his fifties. Then he performed a near miracle, learning it all in less than a year. In his hand-written journal, he recorded two right triangle examples that interested him. You can solve them here and remember the great man who enjoyed geometry. On the page in his journal next to the August 1775 astronomy calculations, Banneker wrote, in the style of that time: Suppose a ladder 60 feet long be placed in a Street so as to reach a window on the one Side 37 feet high, and without moving it at bottom, will reach another window on the other side of teh Street which is 23…

Sessa, an ancient wise man, visited the king of his nation and showed him a new game.  The board was 8 squares by 8 squares.  Two players would be given 16 pieces each, lined up on either side of the board.  The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return.  In the ancient bombastic style, the King said the request could include up to half of his kingdom.  (That was not meant literally.)  Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square.  Tomorrow, two grains of rice on the second square.  The day after, 4 grains of rice on the third square.  On the fourth day, 8 grains of rice.  And so on, until the board is full in two months." The king and his ministers laughed…