The given region is the combination of a semicircle with radius 2 cm and a right isosceles triangle with base length 4 cm. Find the area of the given region using the formula for the area of a circle, A = πr2 where r is the circle's radius, and the formula for the area of a triangle, A = bh/2 where b and h are the lengths of the triangle's base and height, respectively. Remember, a semicircle's area is one half the area of the circle with the same radius.

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.