NEED THE ANSWER IN 23 MIN Paul wanted to know about how much time students in his school spent studying. From a list of student names, he chose a name at random from the list, and then every sixth student after that continuing through the list until he came back to the name he started with. Was Paul’s survey a random survey, and if so, which sampling method did he use? A. Yes, Paul used simple random sampling. B. Yes, Paul used systematic random sampling. C. Yes, Paul used stratified random sampling. D. No, Paul’s survey was not a random sample.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

If mary had 320 toy cars and she gave her friend 50 cars and then she gave her brother 72 more cars how much toy cars would mary have left ● explain with proper details

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)