Universal pet house sells vinyl doghouses and treated lumber doghouses. it takes the company 5 hours to build a vinyl doghouse and 2 hours to build a treated lumber doghouse. the company dedicates 50 hours every week towards building doghouses. it takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each lumber doghouse. the company dedicates 30 hours every week towards assembling and painting doghouses. write a system of equations that represent the production time needed to build each doghouse and the prodution time needed for painting and assembling each doghouse. use x to represent the number of vinyl doghouses and y to represent the number of treated lumber doghouses.

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude toward school, and study habits of students, scores range from 0 to 200. the mean score for u.s. college students is about 115, and the standard deviation is about 30. a teacher who suspects that older students have better attitudes toward school gives the ssha to 55 students who are at least 30 years of age. the mean score is 113.2. assume the population standard deviation is 30 for older students what is the margin of error for a 95% confidence interval for the population mean score for a. older students? b. compute the 95% confidence interval for the population mean score for older students. c. compute the 99% confidence interval for the population mean score for older students. d. compute the 88% confidence interval for the population mean score for older students.