Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is f(x; u) 5 5 (u 1 1)xu 0 # x # 1 0 otherwise where 21 , u. A random sample of ten students yields data x1 5 .92, x2 5 .79, x3 5 .90, x4 5 .65, x5 5 .86, x6 5 .47, x7 5 .73, x8 5 .97, x9 5 .94, x10 5 .77. a. Use the method of moments to obtain an estimator of u, and then compute the estimate for this data. b. Obtain the maximum likelihood estimator of u, and then compute the estimate for the given data

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil