The area of a projected picture on a movie screen varies directly as the square of the distance from the projector to the screen. if the distance of 20 feet produces a picture with an area of 64 square feet, what distance produces a picture with an area of 100 square feet?

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Me max 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.

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.