Jayce is going to ship some gifts to family members, and he is considering two shipping companies. The first shipping company charges a fee of $14 to ship a medium box, plus an additional $3 per kilogram. A second shipping company charges $13 for the same size of box, plus an additional $4 per kilogram. At a certain weight, the two shipping methods will cost the same amount. What is that weight? How much will it cost?

Astudent simplified a rational expression as shown.

Which is a true statement about an exterior angle of a triangle a. it is formed by two segments that are not sides of the triangle, b. it forms a linear pair with one of the interior angles of the triangle, c. it is complementary to one of the interior angles of the triangle. d. it is formed by two segments that are sides of the triangle.

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.