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ad-work [718]
3 years ago
5

Factor the following question.

Mathematics
1 answer:
Lerok [7]3 years ago
5 0
Factor the following:
125 w^3 - 8
125 w^3 - 8 = (5 w)^3 - 2^3:
(5 w)^3 - 2^3
Factor the difference of two cubes. (5 w)^3 - 2^3 = (5 w - 2) ((5 w)^2 + (5 w) 2 + 2^2):
(5 w - 2) ((5 w)^2 + 5 2 w + 2^2)
Multiply each exponent in 5 w by 2:
(5 w - 2) (5^2 w^2 + 5 2 w + 2^2)
5^2 = 25:
(5 w - 2) (25 w^2 + 5 2 w + 2^2)
5×2 = 10:
(5 w - 2) (25 w^2 + 10 w + 2^2)
2^2 = 4:
Answer:  (5 w - 2) (25 w^2 + 10 w + 4)
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we are supposed to find

Which of these properties is enough to prove that a given parallelogram is also a Rectangle?

As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.

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In a parallelogram The opposite angles and opposite sides are always equal.

Hence the correct option is

The diagonals are congruent.

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3 years ago
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A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of t
liraira [26]

Answer:

All but last statement are correct.

Step-by-step explanation:

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True. Confidence interval gets wider as the confidence level decreases.  

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True. Confidence interval is constructed around sample mean.

  • <em>There is a 95% chance that the 95% confidence interval actually contains the population proportion.</em>

True. Constructing 95%. confidence interval for a population proportion using a sample proportion from a random sample means the same as the above statement.

  • <em>We don't know if the 95% confidence interval actually does or doesn't contain the population proportion</em>

True. There is 95% chance that confidence interval contains population proportion and 5% chance that it does not.

  • <em>The population proportion must lie in the 95% confidence interval</em>

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3 years ago
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nataly862011 [7]

Answer:

250

Step-by-step explanation:

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