Let y1, y2,... , yn denote a random sample of size n from a population with a uniform distribution on the interval (0,theta). let y(n) = max{y1,y2,...,yn} and u = (1/theta)y(n). (a) show that u has distribution function fu(u) = { (b) because the distribution of u does not depend on theta, u is a pivot. find a 95% lower confidence hound for theta.

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.