If the pattern below follows the rule “starting with two, every consecutive line has a number that is one less than twice the previous line,” how many marbles must be in the sixth line?

What is always true about a positive integer raised to a negative odd power?

How many zeroes do we write when we write all the integers 1 to 243 in base 3?

On her way to work, mrs. larsen gets a green light at a certain traffic light only 30% of the time. she wants to find the probability that she will get a green light at this traffic light all five mornings that she travels to work next week. use the following randomly generated list of 200 five-digit numbers to answer the questions and find the probability. select the digits you will use to represent a favorable outcome. how many favorable outcomes are on this list? what are they? given this simulation, what is the probability that mrs. larsen will get a green light at this traffic light all five mornings next week?