Catie is 3 years older than her brother. the sum of their ages is no more than 31. write an inequality that can be used to represent this situation, where x represents caties's brother's age. (don't combine like terms)

plz and show steps

If you shift the linear parent function, f(x)=x, up 13 units, what is the equation of the new function?

Lucy and donavan measured the length of the school garden. lucys measurement is 11.3m and donavans measurement is 113 cm. could both be correct? explain

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.