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GarryVolchara [31]
2 years ago
11

-(x − 2)(3x2 + 4x − 5)

Mathematics
1 answer:
Nookie1986 [14]2 years ago
8 0

The simplification of the algebraic expression to its simplest form is -3x³ + 2x² + 13x - 10

<h3>What is the simplest form of an algebraic expression?</h3>

The simplest form of an algebraic expression is a stage at which the expression can no longer be further simplified.


From the given expression:

= -(x − 2)(3x² + 4x − 5)

= (-x +2)(3x² + 4x − 5)

Open brackets

= -3x³ - 4x² + 5x +6x² + 8x - 10

= -3x³ + 2x² + 13x - 10

Learn more about simplifying algebraic expressions here:

brainly.com/question/2164351

#SPJ1

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Answer:

A. P(x>12 in 5 minutes)=0.0201

Step-by-step explanation:

Because we are working with a Poisson Distribution of probability, we need to get all the data needed. In a Poisson distribution is needed a constant called λ that symbolizes the mean data (6 calls) per unit of time (5 minutes), for this distribution λ=6/5.

Poisson probabilities work like this:

P(x=y\ 'in\ z\ unit\ of\ time')= \frac{e^{-z\lambda}(z\lambda)^{y}}{y!}

Remember y has to be an integer and the units of z must be the same unit of time used in λ. Now we are ready to solve this problem

A. The question is asking for the probability that in 5 minutes appear more calls than the phone-answering machine could answer (i.e P(x>12 in 5 minutes)). Because there are infinite numbers greater than 12, we are using this property of probabilities that´ll help us simplify the problem:

P(x>12 in 5 minutes)= 1 - P(x≤12 in 5 minutes)

Now we can use the following:

P(x\geq12\ in\ 5\ minutes)=P(x=0\ in\ 5\ min)+P(x=1\ in\ 5\ min)+...P(x=12\ in\ 5\ min)

P(x\geq12\ in\ 5\ minutes)=\sum_{n=0}^{\infty}P(x=n\ in\ 5\min)

P(x\geq12\ in\ 5\ minutes)=\sum_{n=0}^{\infty}\frac{e^{-6}6^{n}}{n!}

And you can find P(x=n in 5 minutes) for every n using a calculator or a computer, and finally add them to get

P(x≤12 in 5 minutes)= 0.9799

P(x>12 in 5 minutes)= 1-0.9799

This will be our answer

P(x>12 in 5 minutes)= 0.0201

8 0
3 years ago
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