answer all 24 questions in this part. each co...

answer all 24 questions in this part. each correct answer will receive 2 credits. no partial credit will be allowed. utilize the information provided for each question to determine your answer. note that diagrams are not necessarily drawn to scale. for each statement or question, choose the word or expression that, given, best completes the statement or answers the question. record your answers on your separate answer sheet. 48\n1 a grocery store owner wonders how many customers bring reusable bags to the store. an employee stands at the store entrance for two hours and counts the number of people bringing in reusable bags. this type of study is best classified as\n(1) a census\n(2) an experiment\n(3) an observational study\n(4) a survey\n2 the graph of y = 2^x - 4 is positive on which interval?\n(1) (-∞,∞)\n(2) (2,∞)\n(3) (0,∞)\n(4) (-4,∞)

Answer

### Question 1 # Brief Explanations: In an observational study, data is collected by observing behavior without interfering. Here, the employee just counts customers with reusable bags without any manipulation or treatment, which fits the definition of an observational study. A census involves collecting data from every member of a population, an experiment involves manipulating variables, and a survey involves asking questions. # Answer: (3) an observational study ### Question 2 # Explanation: ## Step1: Set $y>0$ $2^{x}-4 > 0$ ## Step2: Isolate the exponential term $2^{x}>4$ Since $4 = 2^{2}$, we have $2^{x}>2^{2}$. ## Step3: Use the property of exponential - function The function $y = 2^{x}$ is an increasing function. So if $2^{x}>2^{2}$, then $x > 2$. The interval where $y=2^{x}-4$ is positive is $(2,\infty)$. # Answer: (2) $(2,\infty)$