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svet-max [94.6K]
3 years ago
5

Find the product. (2n + 2)(2n – 2)

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0
Use the FOIL method, or (First, Outside, Inside, Last)

2n x 2n = 4n^2
2n x (-2) = -4n
2n x (2) = 4n
2 x (-2) = -4

4n² - 4n + 4n - 4   (simplify)

4n² (-4n + 4n) - 4

-4n + 4n = 0

4n² - 4 is your answer

hope this helps
vekshin13 years ago
3 0
<span>(2n + 2)(2n – 2)
= (2n)^2 -2^2
= 4n^2 - 4

hope it helps</span>
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Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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3 years ago
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2 years ago
Triangle S and Triangle L are scaled copies of one
tatiyna

Answer:

2

Step-by-step explanation:

The bottom of S is 2 units and the bottom of L is 4 Units.

4:2 is the ratio, and that is equal to 2

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2 years ago
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What
sertanlavr [38]

Answer:

$140

Step-by-step explanation:

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Amount of chocolate in one box = 1 1/4 Pounds =  5/4 Pounds

Number of boxes = 100/(5/4) = 80 boxes

Cost of one box = $1.75

Total selling price = 80×1.75 = 140

The total selling price for all the boxes of chocolate is $140

8 0
2 years ago
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