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LekaFEV [45]
3 years ago
13

Describe the first step when factoring any polynomial. Why is this the first step? Explain.

Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0

Answer:  If there is a common factor, factor out the GCF. The first step in factoring any polynomial is to determine whether the terms of the polynomial have a greatest common factor. If yes, factor it out first.






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Studentka2010 [4]

Answer:-αx-20=-14 --> \frac{-6}{x}

4=\frac{6}{a}×+5 --> a=-6

7+2ax=13---> a=\frac{3}{x}

Step-by-step explanation:

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2 years ago
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per hour for pulling weeds. In Septe
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Answer:

   $477

Step-by-step explanation:

(36)(6)= 378  Lawns

(11)(9)=   +99 Weed Pulling

           $477 earned in September

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3 years ago
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
Maurinko [17]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62\overline 6

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

\hat p = \dfrac{x}{n}

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, \hat p = 376/600 = 0.62\overline 6

c. The confidence interval for a proportion is given as follows

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Therefore, we get;

CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

MOE_\gamma = z_\gamma  \times \sqrt{\dfrac{\sigma ^2}{n} }

Where;

MOE_\gamma = Margin of error at a given level of confidence

z_\gamma = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

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2 years ago
Kinnear Plastics manufactures various components for the aircraft and marine industry. Kinnear buys plastic from two vendors: Ta
Goshia [24]

Answer:

Tappan    is $1400      

Hill             is  $1420

Step-by-step explanation:

Particulars                                      Tappan             Hill

Tons purchased                             4500            7500

Tons discarded                                135                 375

% plastic discarded                             3%               5%

% plastic accepted for                           97%             95%

Quoted price                                             1358           1349

% accepted for                                            97%              95%

Effective cost per ton

= Quoted price / % accepted for

                                                                     $ 1400           $1420

Effective cost per ton

Tappan          Hill

$1400              $1420

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