Suppose that a butterfly can fly 82 feet in 4 seconds. a dragonfly can fly 50 feet in 2 seconds. which can fly faster and by how much? a) the butterfly is 4.5 feet per second faster. b) the dragonfly is 4.5 feet per second faster. c) dragonfly is 20.5 feet per second faster. d) the butterfly is 24 feet per second faster.

The triangles are similar. what is the value of x? show your work.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.