On a road in the city of madison, the maximum speed is 45 miles per hour and the minimum speed is 35 miles per hour. let x represents the speed. you can write two inequalities to represent the speed restrictions. the inequalities and can be combined and can be written without using and. a. explain how compound inequalities can be use to describe the speed restrictions on roads. b. include a compound inequality describing a possible age restriction for driving on roads. describe what this represents. (minimum driving age is 16 years, and most drivers stop renewing their licenses by age 100.)

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?