Use the Following Information for Following Questions

question 55

Essay

Use the following information for following questions
A math professor has two routes he can take to campus. The length of time it takes to drive each
of these routes depends on traffic. Route A has a mean travel time of 20 minutes, with a standard
deviation of 4 minutes. Route B has a mean travel time of 16 minutes, with a standard deviation
of 3 minutes. Assume that both distributions are unimodal and roughly symmetric.
-Today, the z-score for the professor's travel time was −2.1. How many minutes did it take him to drive to campus if he took Route B?

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Definitions:

Time Constant

The time required for a system to charge or discharge to approximately 63.2% of its maximum value, characteristic of both RC and RL circuits.

R-L

Refers to a circuit that contains both resistance (R) and inductance (L), affecting the phase and amplitude of the circuit's response to an AC input.

Exponential Curves

Graphs representing exponential functions, showing how values can grow rapidly due to constant proportionality rates.

Time Constants

A parameter that quantifies the response time of a system to a step input, notably in RC and RL circuits, characterized by the time it takes for a system to change significantly.