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Flauer [41]
3 years ago
14

Factor the expression 9X^2 - 4Y^6

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

(3x - 2y³)(3x + 2y³)

Step-by-step explanation:

9x² - 4y⁶

(3x)² - (2y³)²

(3x - 2y³)(3x + 2y³)

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Does the sample provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package? Gro
kirill115 [55]

Answer:

As probability of that happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

Step-by-step explanation:

For a normal distribution Z-score

Z = \frac{X-\mu}{\sigma}

Given that :

the mean (\mu) = 35.6

standard deviation (\sigma) = 5.2

sample size (n) = 35

standard error: \sigma_x = \frac{\sigma}{\sqrt{n}}

\sigma_x = \frac{5.2}{\sqrt{35}}

\sigma_x = 0.879

The probability that a random sample of 35 bags has a mean weight of 33.6 grams or less is :

P(X<33.6)  = P(Z < - 2.28)

= 0.0114

Conclusion:

As probability of the happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

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6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.

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