Amachine produces metal rods used in an automobile suspension system. a random sample of 15 rods is selected, and the diameter is measured. the resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.23 8.24 8.21 8.26 8.26 a.20 8.25 8.23 8.23 8.19 8.28 8.24 (a) calculate a 99% two-sided confidence interval on mean rod diameter.

The figure above shows the lengths of thesides of a rectangle in cm. find the valuesof x and y and then the area of the rectangle.sides: top= 3x - yleft= 3y + 4bottom= 2x + yright= 2x - 3 use both methods, elimination and substitution, if possible.

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?