An analysis of laboratory data collected with the goalof modeling the weight (in grams) of a bacterial cultureafter several hours of growth produced the

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. ${\displaystyle (1,3),(2,6),(3,12),(4,24)}$
Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.
Part B: Use a recursive formula to determine the time she will complete station 5.
Part C: Use an explicit formula to find the time she will complete the 9th station.

A weather forecaster predicts that the temperature in Antarctica will decrease ${\displaystyle 8^{\circ }F}$ each hour for the next 6 hours. Write and solve an inequality to determine how many hours it will take for the temperature to drop at least ${\displaystyle {36}^{\circ }F}$

A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area al the point ${\displaystyle (4,5).}$ Write an equation that represents the path.

The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants” (Water Research, 1984: 1169-1174) suggests the uniform distribution on the interval (7.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. a. What are the mean and variance of depth? b. What is the cdf of depth? c. What is the probability that observed depth is at most 10? Between 10 and 15? d. What is the probability that the observed depth is within 1 standard deviation of the mean value? Within 2 standard deviations?

Suppose that the random variables X and Y have joint p.d.f.
$f(x,y)=\{\begin{array}{l}kx(x-y),\\ 0\end{array}$

Evaluate the constant k.

The school cafeteria collects data on students’ juice box selections. What type of data are these?
1.categorical, nominal data
2.numerical, discrete data
3.categorical, ordinal data
4.numerical, continuous data

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 24 subjects had a mean wake time of 104.0 min. After treatment, the 24 subjects had a mean wake time of 94.5 min and a standard deviation of 23.2 min. Assume that the 24 sample values appear to be from a normally distributed population and construct a ${\displaystyle 99\mathrm{\%}}$ confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective?
Construct the ${\displaystyle 99\mathrm{\%}}$ confidence interval estimate of the mean wake time for a population with the treatment.
${\displaystyle min<\mu <min}$