Graph a sine function whose amplitude is 5, period is 67 , midline is y= -2, and y-intercept is
(0, - 2). The graph is not a reflection of the parent function over the x-axis.
Use the sine tool to graph the function
The first point must be on the midline and the second point must be a maximum or minimum value
on the graph closest to the first point

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

State one method by which you can recognize a perfect square trinomial.