1. A regional airport, community college, and city hall building are located at the vertices of a right triangle formed by three roads. The airport and the city hall are 10 miles apart. The distance between the airport and the community college is 8 miles, and the distance between the city hall and the community college is 6 miles. A service road will be constructed from the main entrance of the community college to the road that connects the airport and the city hall. What is the shortest possible length for the service road? Round your answer to the nearest tenth.
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.
![1. A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles.
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road? Round your answer to the nearest tenth.
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