Cho X = , với mỗi x = (x1, x2, x3) X, đặt || x || = | x1 | + | x2| +|x3| . Chứng minh rằng X cùng với ánh xạ trên trở thành một không gian Banach với các phép cộng và nhân thông thường.

Perry has a garden. 1/2 of his garden is planted with tomatoes. 1/3 of his garden is planted with peppers. the remaining part of his garden is planted with flowers. what fraction of perry’s garden is planted with flowers?

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.

The probability that a student graduating from suburban state university has student loans to pay off after graduation is .60. if two students are randomly selected from this university, what is the probability that neither of them has student loans to pay off after graduation?