Manoj and tamar are arguing about how a number trick they heard goes. tamar tells their friend andrew to think of a number, multiply it by five, and subtract three from the result. then manoj tells andrew to think of a number, add five, and multiply the result by three. andrew says that whichever way he does the trick he gets the same answer. what was andrew's number? justify your answer.

The american academy of pediatrics wants to conduct a survey of recently graduated family practitioners to assess why they did not choose pediatrics for their specialization. provide a definition of the population, suggest a sampling frame, and indicate the appropriate sampling unit.

Which of the following is not a subset of {1,2,3}?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.