When keisha installed a fence along the 200- foot perimeter of her rectangular back yard she left an opening for a gate. in the diagram below she used x represent the length in feet of the gate.

what is the value of x?

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

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.

The acceleration of an object due to gravity is 32 feet per second squared.what is acceleration due to gravity in inches per second squared?