Determine what type of model best fits the given situation: The temperature of a cup of coffee decreases by 5 F every 20 minutes.

A first-order polynomial best fits the given situation.

Step-by-step explanation:

The statement indicates a constant rate of change in a given time interval, so the model that best fits the given situation is a first-order polynomial model, which is a generalized form of a model with direct proportionality. That is:

Where:

- Current temperature, measured in Fahrenheit degrees.

- Initial temperature, measured in Fahrenheit degrees.

- Temperature rate of change, measured in Fahrenheit degrees per minute.

- Time, measured in minutes.

The statement describes the temperature rate of change, which is equal to:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560