nine percent of americans say they are well informed about politics in comparison to most people. you randomly sample 200 americans and ask if they believe that they are well informed about politics in comparison to most people. what is the probability that less than 11% of the people sampled will answer yes to the question?

Pls! does anybody know a shortcut for answering these types of questions in the future?

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning