Oceanography The floor of the Atlantic Ocean is spreading at an average rate of
1 answer:
Using the graph of the linear function y = x, the ocean floor will spread 10 inches in 10 years.
<h3>What is a linear function?</h3>A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The linear function that models this situation is:
y = x.
Which means that the ocean floor spreads at a rate of 1 inch per year.
Looking at point A on the graph, when x = 10, y = 10, hence the ocean floor will spread 10 inches in 10 years.
More can be learned about linear functions at brainly.com/question/24808124
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The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).
Step-by-step explanation:
We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:
In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.
We have a series of different probabilities that we have to distinguish one from the others:
The probability that a person has a tattoo assuming that is a Millennial is:
The probability that a person has a tattoo assuming that is of Generation X is:
The probability that a person has a tattoo assuming that is of Boomers is:
The probability of being of Millennials is:
The probability of being of Generation X is:
The probability of being of Boomers is:
Therefore, the probability of the event of having a tattoo P(T) is:
For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:
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Then
We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:
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Therefore
Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).