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3 years ago

Factorise 3(x-y)^2 - 2(x-y)

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

Answer:

4xy

Step-by-step explanation:

Anna11 [10]3 years ago

4 0

Answer:

$(x - y) [3(x - y) - 2]$

Step-by-step explanation:

$3(x - y)^{2} - 2(x - y)$

Lets take $(x - y)$ common from the expression.

$=> (x - y) [3(x - y) - 2]$

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3 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

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Rounding up

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3 years ago

If two measurements are very close to each other, then they are ____..

erik [133]

The correct answer is:

B) precise

Explanation:

Precision can be broken down into two pieces:

Repeatability - The variation observed when the same person measures the same thing repeatedly with the same device.

Reproducibility: The variation observed when different people measure the same thing using the same device.

If two measurements are very close to each other, this gives repeatability. If the measurements were made by different people, this gives reproducibility.

Accuracy, however, describes the difference between the measurement and the thing's actual value. This would not involve getting the same result repeatedly; it would be getting the correct value.

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If possible, factor 9x2 − 625y2.

Igoryamba

Answer:

(3x - 25y)(3x + 25y)

Step-by-step explanation:

9x² - 625y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Given

9x² - 625y²

= (3x)² - (25y)²

= (3x - 25y)(3x + 25y)

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