V is a vector space. Mark each statement True or False. Justify each answer. a. The number of pivot columns of a matrix equals the dimension of its column space. b. A plane in is a two-dimensional subspace of . c. The dimension of the vector space is 4. d. If dim V = n and S is a linearly independent set in V, then S is a basis for V. e. If a set {v₁ ,…, } spans a finite-dimensional vector space V and if T is a set of more than p vectors in V, then T is linearly dependent.

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 25002500 grams and a standard deviation of 800800 grams while babies born after a gestation period of 40 weeks have a mean weight of 27002700 grams and a standard deviation of 385385 grams. if a 3232-week gestation period baby weighs 21252125 grams and a 4040-week gestation period baby weighs 23252325 grams, find the corresponding z-scores. which baby weighs lessless relative to the gestation period?