Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the population decays by a factor of \dfrac{8}{9} 9
8

start fraction, 8, divided by, 9, end fraction every 444 months. The population of penguins can be modeled by a function, PPP, which depends on the amount of time, ttt (in months).
When Talulah began the study, she observed that there were 27{,}00027,00027, comma, 000 penguins in Antarctica.
Write a function that models the population of the penguins ttt months since the beginning of Talulah's study.
P(t) =P(t)=P, left parenthesis, t, right parenthesis, equals

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

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step-by-step explanation:

inverse property is the answer

step-by-step explanation:

vertical=18cm horizontal=18cm hypotenuse=25.5

step-by-step explanation: