Concept explainers
Most experienced runners get to a point where they can comfortably jog long distances at a consistent pace. This “pace,” of course, is another way to say “rate of change,” because speed is the rate at which distance changes compared to time. One particular runner jogs one lap around a 400-meter track in 2 minutes. In Questions 7–16, you can assume that the runner can maintain this pace for a long time.
What would this runner’s total time be for a 10k race? (Ten kilometers, that is. Recall that
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- Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25 Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X X √EC Sunday's Standard Deviation Table X S= (x-5)² n-1 S= (x-4)² n-1 Sketch Wednesday's Bell Curve with 3.0 X 1 Sketch Sunday's Bell Curve with + 30 x-x (x-x)²= x-x {(x-1)²= (x-x) 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?arrow_forwardSarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25 1. Create a frequency table for each day. Make sure you look at both days when setting the intervals for your frequency table. Remember that you need to use common intervals for both days to tally the frequency. Wednesday's Frequency Table Speed Interval (mph) Sunday's Frequency Table Speed Interval (mph) Tally Tally Frequency Frequency 2. Create a histogram with appropriate labels for each day using the frequency tables you created in #1. 3. What do you notice about the two histograms? Consider the following questions: Are there any patterns in the speed distribution? Does one day look worse than the other?arrow_forwardQuestion 23 During a month's time, an automobile salesperson receives a 6% commission on the first $5000 in sales, a 7% commission on the next $5000 sales, 8% commission on anything over $10,000. What is her commission for $36000 in sales?arrow_forward
- Help answer parts A-D from picture and question below. State your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to conclude that the horse's glucose is higher than 85 mg/100 ml. There is insufficient evidence at the 0.05 level to conclude that the horse's glucose is higher than 85 mg/100 ml.arrow_forward7. For a set amount of time, the distance Kirk can run is directly related to his average speed. If Kirk can run 3 miles in while running at 6 miles per hour, how far can he run in the same amount of time if his speed increases to 10 miles per hour?arrow_forwardQ. 1 A city recorded 3790 births and 1257 deaths in 2020. The city's population was 183000. What was the crude death rate for the city in 2020.arrow_forward
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