Suppose we have three data instances in a two-dimensional space: (1, 1), (2, 2), and (3, 4). we want to perform pca on these points, so we construct a 2 × 2 matrix whose eigenvectors are the directions that best represent these three points. construct and report this matrix.

Anthony is making a collage for his art class my picking shapes randomly. he has five squares, two triangles, two ovals, and four circles. find p( circle is chosen first)

What is the area of the trapezoid shown ?

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?