A town planner is building a fountain in the middle of a triangular shaped park and will place the fountain at the centroid of the triangle. A diagram of the triangular park shown by △ABD was used to determine the location of the fountain, which will be at point G. The longest median of the triangular park, AC¯¯¯¯¯, is 150 feet.

What is the distance from the corner of the park, at point A, to the fountain?

Enter your answer in the box.

Now 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.

Find the maximum value of p= 4x + 5y subject to the following constraints :

Generate two equivalent fractions for each fraction. use fraction tiles or number lines . 3/4