The project manager can use the burn up chart to analyze the current status of the project based on its scope (value delivered), budget (cost), and schedule (time). A burn up chart is a graphical tool that shows how much work has been completed (burned up) versus how much work remains (scope) over time. It also shows how much budget has been spent (burned up) versus how much budget remains (budget) over time. A burn up chart can help to monitor and control the project progress and performance and identify any variances or deviations from the plan. The chart given shows that both scope and budget lines are above their respective target lines at any given time point. This means that less work has been completed than planned (scope variance) and more money has been spent than planned (budget variance) at any given time point. Therefore, the project is behind schedule and over budget.

This is the correct order of the stages of team development according to Tuckman's model123. The forming stage is where team members first meet and get acquainted. The storming stage is where team members experience conflicts and disagreements. The norming stage is where team members resolve their differences and establish norms and rules. The performing stage is where team members work together effectively and efficiently. The adjourning stage is where team members complete the project and celebrate their achievements. References = CompTIA Project+ Study Guide: Exam PK0-005, 3rd Edition, Chapter 6: Project Team Management, p. 197; The 5 Stages of Team Development (Including Examples) | Upwork; The 5 Stages of Team Development - Teamwork; Using the Stages of Team Development | MIT Human Resources

A project manager who makes a company-wide announcement about the successful completion of a project and thanks team members is doing the following:
Celebrating the team's hard work: This is the correct answer, as the project manager is acknowledging the efforts and contributions of the team members and showing appreciation and recognition for their performance12.
Bringing attention to the project sponsor: This is not the correct answer, as the project manager is not highlighting the role or involvement of the project sponsor, who is the person who provides the resources and authority for the project.
Sharing lessons learned: This is not the correct answer, as the project manager is not discussing the successes, challenges, or best practices of the project, which are part of the lessons learned process.
Collecting feedback: This is not the correct answer, as the project manager is not soliciting any input or opinions from the team members or other stakeholders, which are part of the feedback process.

The total amount that should be budgeted for the task is calculated by adding the expected value of the risk to the original estimate. The expected value of the risk is the product of the probability and the impact of the risk. In this case, the expected value of the risk is 0.2 x (5 days and $1,000) = 1 day and $200. Therefore, the total amount that should be budgeted for the task is 9 days and $3,000 + 1 day and $200 = 10 days and
$3,2001.

A velocity chart is a tool used in agile project management to track the progress and performance of a project team over time. It shows the number of features or user stories completed in each iteration or sprint. The planned timeline line represents the expected or ideal velocity, while the actual effort line shows the actual or achieved velocity. By comparing the two lines, the Scrum master can identify any gaps, trends, or issues in the project delivery.
Based on the image, the most likely update that the Scrum master can provide to the senior management team is D. The project is trending ahead of schedule. This is because the actual effort line is above the planned timeline line for most of the time, indicating that the project team is completing more features than expected in each sprint. This means that the project is ahead of schedule and has a positive velocity variance.