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Arisa [49]
3 years ago
14

Consider the exponential function f(x) = 3(1/3)^x and its graph

Mathematics
2 answers:
sweet [91]3 years ago
7 0

An exponential function is of the form f(x)=ab^{x}

where a ≠0, b > 0 , b ≠1, and x is any real number.

when b > 1, the graph increases.

when 0 < b < 1, the graph decreases.

a = initial value,r = growth or decay rate

x = number of time.

The given Exponential function is

f(x)=3(\frac{1}{3})^x

Among the options given the ones which are true for the given function are:

The growth value of the function is 1/3

The function shows exponential decay

The function is a stretch of the function f(x)  =(\frac{1}{3})^x


Alona [7]3 years ago
3 0
<span>I think these ones should be correct,
The growth value of the function is 1/3
</span><span>The function shows exponential decay
</span><span>The function is a stretch of the function f(x) = (1/3)^x</span>
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a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Step-by-step explanation:

We have these following probabilities:

89% probability that a patient has heart failure due to natural occurrences.

11% probability that a patient has heart failure due to outside factors.

A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?

We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:

11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?

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m = 1/0.11 = 9.09

The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

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