Let a1equals[start 3 by 1 matrix 1st row 1st column 1 2nd row 1st column 2 3rd row 1st column negative 1 endmatrix ], a2equals[start 3 by 1 matrix 1st row 1st column negative 7 2nd row 1st column negative 7 3rd row 1st column 2 endmatrix ], and bequals[start 3 by 1 matrix 1st row 1st column 3 2nd row 1st column negative 22 3rd row 1st column h endmatrix ]. for what value(s) of h is b in the plane spanned by a1 and a2?

The wheels of a bicycle have a diameter of 70cm. how many meters will the bicycle travel if each wheel makes 50 revolutions

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.

(05.02)a farmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. a parallelogram with a height of 6 yards and side length 9 yards. the height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. rhombus is split into a soy half and a corn half. each bag of soil covers 40 square yards. how many bags should the farmer purchase?