Question

12/12/24, 8:04 am algebra 2 final exam review 2024 | yo 20. a psychologist wanted to study the relationship between screen time and academic performance among high school students. she designed the following method of data collection: method: the psychologist surveyed 100 randomly selected high school students, asking them how many hours they spend on their devices daily and what their most recent gpa was. she then analyzed the responses to look for patterns between screen time and academic performance. is this an experiment or a sample survey? a) sample survey b) experiment 27. a local newspaper conducted a survey to predict the outcome of the upcoming mayoral election in a nearby city. the survey found that 44% of respondents plan to vote for candidate a, 47% plan to vote for candidate b, and 9% of voters are still undecided. the survey included a random sample of 800 residents and has a margin of error of ±3%. which of the following statements about this scenario are true? select two that apply. a) candidate a will win the mayoral election since a higher percentage of voters surveyed plan to vote for her. b) the margin of error and the sample size given in this situation will be a good indicator of who will win the mayoral election. c) if the undecided voters were split evenly between the two candidates, then candidate a could beat candidate b for the mayoral election position. d) because of the margin of error, the candidates are tied and neither candidate can be predicted to win. e) the margin of error accounts for the randomness of the sample selected. 28. a recent poll was conducted to forecast the results of the city council election in a neighboring town. the poll revealed that 42% of participants intend to vote for candidate x, 49% for candidate y, and 9% remain undecided. the poll surveyed a random sample of 1000 residents and has a margin of error of ±4%. which of the following statements about this scenario are true? select two that apply. a) candidate x is likely to win the election since a significant portion of voters surveyed plan to vote for them. b) due to the margin of error, the election is too close to call and neither candidate can be confidently predicted to win. c) the margin of error accounts for the randomness of the sample selected. d) if the undecided voters were to split evenly between the two candidates, candidate x could potentially surpass candidate y in the election. e) the margin of error and the sample size provided in this scenario will accurately predict the election outcome. 29. trent uses the function $f(t) = \sqrt{t + 100}$ to model the number of students in his real - estate class. the variable t represents days and $f(t)$ represents the number of students. how many days does it take for there to be 12 students in his class? a) 144 b) 24 c) 112 d) 44

Explanation:

Step1: Set up the equation

Given \( f(t) = \sqrt{t + 100} = 12 \)

Step2: Square both sides

\( (\sqrt{t + 100})^2 = 12^2 \) → \( t + 100 = 144 \)

Step3: Solve for t

\( t = 144 - 100 = 44 \)

Answer:

d) 44