Write the Word or Phrase That Best Completes Each Statement $$a = 0.65 \sin \left( \frac { 2 \pi } { 5 } t \right)$$

question 328

Essay

Write the word or phrase that best completes each statement or answers the question.
-Before exercising, an athlete measures her air flow and obtains
$$a = 0.65 \sin \left( \frac { 2 \pi } { 5 } t \right)$$ where a is measured in liters per second and t is the time in seconds. If a > 0, the athlete is inhaling; if a < 0, the athlete
is exhaling. The time to complete one complete inhalation/exhalation sequence is a respiratory cycle.
What is the amplitude? What is the period? What is the respiratory cycle?
Graph a over two periods beginning at t = 0.

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Definitions:

Probability

Probability refers to the measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Poisson Approximation

A statistical technique used to estimate the probability of a given number of events happening in a fixed interval of time or space when these events occur with a known constant mean rate and independently of the time since the last event.

Probability

An indicator representing the probability or odds of a specific event happening, with its value ranging from 0 to 1.

Normal Model

A type of statistical distribution that is symmetric and describes how values are dispersed or spread around the mean.