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love history [14]
4 years ago
9

The graph of the function, f(x) = 3^2 + x + 2, opens(down or up) and has a (minimum or maximum) value.

Mathematics
1 answer:
Snezhnost [94]4 years ago
5 0
<h2>Answer:</h2>

1. The parabola opens upward.

2. It has a minimum value

<h2>Step-by-step explanation:</h2>

The explanation is shown below. Also, the graph of this function  is shown below including the vertex.

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A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a
Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The mean number of errors is 2 per hour.

This means that \mu = 2

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

P(X \leq 2) + P(X \geq 3) = 1

We want P(X \geq 3)

So

P(X \geq 3) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353

P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707

P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767

P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233

32.33% probability of having at least 3 erros in an hour.

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3 years ago
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