There are 30 homes in neighborhood a. each year, the number of homes increases by 20%. just down the road, neighborhood b has 45 homes. each year, 3 new homes are built in neighborhood b.

part c: after approximately how many years is the number of homes in neighborhood a and neighborhood b the same? justify your answer mathematically. (4 points)

Arectangle has a length of 6cm by 8cm what is the length of a diagonal of the rectangle

Martha is training for a duathlon, which includes biking and running. she knows that yesterday she covered a total distance of over 55.5 miles in more than than 4.5 hours of training. martha runs at a speed of 6 mph and bikes at a rate of 15.5 mph.

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?