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The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver's reaction time is given by , where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by
.Find the function that represents the total stopping distance T.
Ch-Squared Distribution
A statistical distribution describing the sum of the squares of variables that follow a standard normal distribution; often used in hypothesis testing.
Degrees of Freedom
The number of independent values or quantities which can be assigned to a statistical distribution or test without violating any constraints.
Confidence Interval
An estimated range of values calculated from a sample that is likely to cover the true population parameter with a certain level of confidence.
Population Variance
A measure of the dispersion or spread of a set of data points in a population, quantifying how much the members of a population differ from the population mean.
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