A ballet dancer jumps into the air. The height, h(t), in feet, of the dancer at time t,in seconds since the start of the jump, is given by1 h(t)=−16t2+16Tt,where T is the total time in seconds that the ballet dancer is in the air.(a) When, in terms of T, does this model apply? ≤ t ≤ seconds
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.
A ballet dancer jumps into the air. The height, h(t), in feet, of the dancer at time t,in seconds since the start of the jump, is given by1
h(t)=−16t2+16Tt,
where T is the total time in seconds that the ballet dancer is in the air.
(a) When, in terms of T, does this model apply?
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