answer:When determining which variable should be placed on the x-axis and which on the y-axis in a scatterplot, I consider the relationship between the variables and the question being investigated. In general, the x-axis is used for the independent or explanatory variable, which is the variable that is being manipulated or changed, while the y-axis is used for the dependent or response variable, which is the variable being measured or observed. In the case of the Speed Limit and Driver Speed data, I would place Speed Limit on the x-axis and Driver Speed on the y-axis. This is because Speed Limit can be thought of as the independent variable, as it is the posted limit that drivers are supposed to follow, and Driver Speed is the dependent variable, as it is the actual speed at which drivers are traveling. By placing Speed Limit on the x-axis, I can examine how Driver Speed changes in response to different speed limits. This allows me to investigate questions such as Do drivers tend to speed more on highways with higher speed limits? or Is there a relationship between speed limit and driver speed? If I were to swap the variables and place Driver Speed on the x-axis, the interpretation of the plot would be less intuitive, as it would suggest that Driver Speed is somehow influencing the Speed Limit, which is not the case.

answer:The findings suggest that drivers tend to exceed the speed limit by a consistent margin, regardless of the actual speed limit. This could be due to a combination of factors, including driver behavior, road conditions, and cultural norms. The fact that drivers tend to cluster around a speed of a few miles per hour above 60, regardless of the speed limit, suggests that there may be a social norm or cruising speed that drivers feel comfortable with. This could be influenced by factors such as the design of the road, the type of traffic, and the level of enforcement. One possible explanation is that drivers may not be paying close attention to the speed limit, but rather are driving at a speed that feels safe and comfortable to them. This could be due to a lack of awareness of the speed limit, or a perception that the speed limit is not relevant or enforceable. Another possible explanation is that drivers may be influenced by the 60-70 mph range being a common cruising speed on highways, which is often seen as a safe and efficient speed for long-distance driving. This could be reinforced by the design of the road, which may be optimized for speeds in this range. Overall, the findings suggest that drivers may be more influenced by social norms and road conditions than by the actual speed limit. This has implications for traffic safety and management, as it suggests that simply posting lower speed limits may not be enough to reduce speeding. Instead, a more comprehensive approach that takes into account driver behavior and road design may be needed to promote safe and responsible driving practices.

answer:Let |overrightarrow{MF_1}| = m and |overrightarrow{MF_2}| = n. Then, we have: 1. From the property of hyperbola, |m - n| = 2a. 2. From the given condition, mn = 4. 3. Using the distance formula and the given condition overrightarrow{MF_1} cdot overrightarrow{MF_2} = 0, we have m^2 + n^2 = 4(a^2 + 2a). Now, we can solve for a: 1. Square the first equation to get (m-n)^2 = 4a^2. 2. Expand it to get m^2 + n^2 - 2mn = 4a^2. 3. Substitute m^2 + n^2 = 4(a^2 + 2a) and mn = 4 into it, we get 4(a^2 + 2a) - 8 = 4a^2. 4. Simplify it to get 8a = 8, hence boxed{a = 1}.

answer:To get the community garden project started, begin by gathering more information about the potential lot and its owner. Reach out to the owner to express your interest in using the land for a community garden and ask about their willingness to donate or rent the space. Be prepared to discuss your vision, potential benefits for the community, and any concerns they may have. In parallel, start building a core team of dedicated volunteers, including your like-minded friends, to help with planning and organization. This team can assist in researching local regulations, zoning laws, and potential partnerships with nearby organizations or businesses. You may also want to consider reaching out to existing community gardens in your area for advice and guidance. Develop a preliminary budget and list of necessary materials, tools, and potential expenses. This will help inform your fundraising strategy and give you a clear idea of what you'll need to get the garden up and running. Consider applying for grants, crowdfunding, and hosting local fundraising events to support your project. Once you have a better understanding of the lot's availability and costs, you can begin engaging with the broader community to gauge interest and build support for the project. This could involve hosting a public meeting, creating a social media group, or distributing flyers in the neighborhood. By building a strong foundation of community support and a solid plan, you'll be well on your way to turning your vision for a community garden into a reality. Next steps would involve creating a more detailed plan, including garden design, plot allocation, and ongoing maintenance responsibilities. However, at this stage, focus on securing the lot, building your team, and establishing a clear understanding of the project's scope and costs.