Genesis wants to ride her bicycle 31 miles this week. She has already ridden 7 miles. If she rides for 4 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?