Michelle says that the solution to the inequality 2(4y - 3 ) > -22 is y > 3.5. Her work is shown. 2(4y - 3) > 22, 8y > -28, y > -3.5, a. What was Michelle's Mistake? b. What is the solution to the inequality?

Abanner is made of a square and a semicircle. the square has side lengths of 24 inches. one side of the square is also the diameter of the semicircle. what is the total area of the banner? use 3.14 for π.

Need 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.

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?