etermine whether the set S = {1-3xr?, 2x+5x²,1-x+3x²} is basis for P,(R).

I need step by step explan

Let's say the countdown for a space shuttle launch has begun. At "T minus 25 hours" (that is, 25 hours before launch), a problem occurs. If the technicians have not fixed the problem by T minus 8 hours, the launch will have to be scratched. How much time (in hours) do the technicians have to correct the problem? hr

Only need help on the very last part after p value

Can you explain which properties and methods you used and why specifically they were used.

Please submit asap im in hurry thank somuch

Fire departments in your county have an average benchmark of 6 minutes on a fire call from the time the 911 operator takes the call to the time the first firefighter arrives on the scene. This 6-minute average includes a 1-minute call handling time from when 911 gets the call to when they notify the fire department. There is a 1-minute time from when the firefighters are notified to when they get out of the fire station. Then they have 4 minutes from when they leave the station to when they arrive on scene. Two fire departments in your county are being compared. From one fire department, a random sample of 10 calls has a mean of 6.51 minutes total with a standard deviation of 0.26 minutes. From the other fire department, a random sample of 11 calls shows a mean of 6.42 minutes with a standard deviation of 0.19. Construct a 90% confidence interval for the difference in the mean call time between the two fire departments. Fire departments in your county have an average benchmark of 6…