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vichka [17]
4 years ago
12

Simplify using the horizontal method. (3n^2+5n+4)(2n-3)

Mathematics
2 answers:
Evgesh-ka [11]4 years ago
5 0
The solution is shown in the image.
6n^3 + n^2 - 7n - 12. Hope I was able to help

erica [24]4 years ago
4 0

(3n^2 + 5n + 4)(2n - 3)
= 6n^3 + 10n^2 - 9n^2 + 8n - 15n - 12
= 6n^3 + n^2 - 7n - 12
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-5 < x - 4 greater than it equal 1
saul85 [17]

We have expression -5 < x - 4 \geq 1 that renders the system of inequalities,

\begin{cases}-5 < x - 4 \\x - 4 \geq 1\end{cases}

Which can be simplified to,

\begin{cases}x > -1 \\x \geq 5\end{cases}

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}.

Hope this helps.

6 0
3 years ago
A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
Help me oo000-00000of
lisabon 2012 [21]

Answer:

x = 15

y = 5

Step-by-step explanation:

x = 15

y = 5

6 0
2 years ago
In a booster club, 1/8 of the 128 members are men. How many male members are in the club?
Novay_Z [31]
16 or B. Because  128 divided by 8 is 16
5 0
3 years ago
Read 2 more answers
Any one know the answer it has to be turned in tomorrow morning
Veseljchak [2.6K]
17: 900 because 3,000 + 900 + 40 +7 is 3,947 or 3,947-3,000-40-7= 900
6 0
3 years ago
Read 2 more answers
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