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hram777 [196]
3 years ago
15

Choose the polynomial that is written in standard form.

Mathematics
2 answers:
galina1969 [7]3 years ago
7 0

Answer:

C) -3x^8y^2+9x^2y+10x^2

Step-by-step explanation:

Since, a polynomial having the descending order of degrees of the monomial is called the standard polynomial,

Also, the degree of a term in the polynomial is the total sum of the power of all variable in that term,

In option a),

2x^2y^2 + 3x^4y + 10x^6

Order of degree is,

4, 5, 6

Which is not in the descending order,

⇒ It is not a standard polynomial.

In option b),

4x4y^2 + 6x^3y^5 + 10x

Order of degree is,

5, 8, 1

Which is not in the descending order,

⇒ It is not a standard polynomial.

In option c),

-3x^8y^2 + 9x^2y + 10x^2

Order of degree is,

11, 3, 2

Which is in the descending order,

⇒ It is a standard polynomial.

In option d),

-7x^6y^2 + x^3y^8 + 10x^2

Order of degree is,

8, 11, 2

Which is not in the descending order,

⇒ It is not a standard polynomial.

OleMash [197]3 years ago
4 0
The degrees of the terms are ...
  a) 4, 5, 6
  b) 6, 8, 1
  c) 10, 3, 2
  d) 8, 11, 2

The polynomial that has terms in decreasing order of degree is
  c) -3x⁸y² +9x²y +10x²
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Step-by-step explanation:
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Also,
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Answer:

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3 years ago
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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

 CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

The margin of error for this interval is:

 MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

(a)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

 z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a z-table.

Compute the sample size required as follows:

 MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}

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Thus, the sample size required is 43.

(b)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

 z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a z-table.

Compute the sample size required as follows:

 MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}

          =[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62

Thus, the sample size required is 62.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

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Volume = Length * Width * Height

Substitute values for the dimensions

Volume = 10 * 20 * 10

Volume = 2000\ in^3

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julia-pushkina [17]
Sub in 4 as x
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= -17
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