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Alex17521 [72]
3 years ago
9

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0
Add the common difference to a term to get the next term.
-10
-10 + (-2) = -12
-12 + (-2) = -14
etc.

The sequence is
-10, -12, -14, -16, -18, -20, -22, -24, -26, -28
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UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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 interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so \mu = \frac{14}{60} = 0.2333

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

In which

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

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P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0
3 years ago
For each shape in the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences,
marishachu [46]
Interesting question. Let's see.

Rectangular Prism: any box (like a shoe box or a  packing box).

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5 0
3 years ago
What is the percent of change if 30 is decreased to 25?
Luden [163]

Answer:

16.67%

Step-by-step explanation:

initial rate=30

final rate =25

decreased rate = 30 - 25= 5

Now,

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= 16.67%

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Answer:

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Step-by-step explanation:

The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.

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