2. The Port Huron to Mackinac yachting race has been run annually for more than 80 years. For almost 30 years the boats rounded the Cove Island Buoy at the mouth of Georgian Bay. The current course rounds NOAA Weather Buoy 45003. Reasoning and Proving Selecting Tools and Strategies Representing Problem Solving Connecting Reflecting Communicating Mackinac Island 45003 Cove Island Lake Huron Southampton Port Huron a) The path from the start to Cove Island is represented by [x, y] = [-82.2, 43] + s[0.8, 2.2], and the path from Cove Island to the finish line is represented by [x, y] = [-84.4, 45.5] + t[3.0, -0.3]. Determine the position of the Cove Island mark for the old course. b) The path from the start to the weather buoy is represented by [x, y] = [-82.2, 43]+ s[0.2, 2.0] and the path from the weather buoy to the finish line is represented by [x, y] = [-84.4, 44.5] + t[2.0, -0.5]. Determine the position of the weather buoy for the new course c) A boat mistakenly goes to the Cove Island mark. In what direction would the boat have to point to be heading for the weather buoy at that instant? Georgian bay
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![12. The Port Huron to
Reasoning and Proving
Representing
Selecting Tools
and Strategies
Mackinac yachting race
has been run annually
for more than 80 years.
For almost 30 years the
boats rounded the Cove Island Buoy at the
mouth of Georgian Bay. The current course
rounds NOAA Weather Buoy 45003.
Problem Solving
Connecting
Reflecting
Communicating
Mackinac
Island
Cove
45003 Island
Lake
Huron
Southampton
Port Huron
a) The path from the start to Cove Island is
represented by [x, y] = [-82.2, 43] +
s[0.8, 2.2], and the path from Cove Island
to the finish line is represented by
[x, y] = [-84.4, 45.5] + t[3.0, -0.3].
Determine the position of the Cove Island
mark for the old course.
b) The path from the start to the weather buoy
is represented by [x, y] = [-82.2, 43]+
s[0.2, 2.0] and the path from the weather
buoy to the finish line is represented by
[x, y] = [-84.4, 44.5] + t[2.0, -0.5].
Determine the position of the weather buoy
for the new course
c) A boat mistakenly goes to the Cove Island
mark. In what direction would the boat
have to point to be heading for the weather
buoy at that instant?
Georgian bay](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fcfce2e-4ad1-44d5-9c46-1fa1375e84a6%2F7bbccb27-0a11-4883-96a6-dcbf1040d1ac%2F3t5k4bt_processed.jpeg&w=3840&q=75)

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