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bekas [8.4K]
3 years ago
8

Please help me figure this out.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

Quotient: x+7

Remainder: -2

Step-by-step explanation:

Divide the terms (x² ÷ x =x)↓

(x² + 11x + 26) ÷ (x + 4) =x

Subtract x² + 4x (You have to the sign if each term)

(x² + 11x + 26) ÷ (x + 4) =x

-x² - 4x

-------------------

      7x + 26      

Divide the terms (7x ÷ x = 7)

x² + 11x + 26) ÷ (x + 4) =x + 7

Multiply the quotient by the dividend (x + 4) × 7 = 7x+28

(x² + 11x + 26) ÷ (x + 4) =x

-x² - 4x

-------------------

      7x + 26      

      7x + 28

------------------

           = -2 Remainder

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
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What is 321 over 100 in simplest form?
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2x-3y=8 solve for y I don't understand this at all can someone please help??
suter [353]
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Adding 3y and subtracting 8 from both sides, we have:

2x-3y+3y-8=8+3y-8

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3 0
3 years ago
-(6)^-1<br> a.6<br> b.1/6<br> c.-1/6<br> d.-6<br><br> No idea what I'm doing...
Monica [59]
-(6)^{-1} = ?
<span>Representing in fraction for the best understanding
</span>-(\frac{6}{1}) ^{-1} = ?<span>
When the exponent is negative, the inversion is made, the numerator becomes the denominator, and the denominator becomes the numerator, and the change of signal from the exponent, which was negative, becomes positive.

</span>-( \frac{1}{6} )^1 =
\boxed{\boxed{- \frac{1}{6}}}\end{array}}\qquad\quad\checkmark

Answer:
c.-1/6
7 0
3 years ago
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