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3 years ago

Factor −1/2 out of −1/2x+6. The factored expression is

Mathematics

1 answer:

frosja888 [35]3 years ago

3 0

Answer:

-1/2(x-12)

Step-by-step explanation:

-1/2x+6=-1/2(x-12)

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3 years ago

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3 years ago

If a light bulb manufacturing company wants to estimate, with 99% confidence, the mean life of compact fluorescent light bulb

Reptile [31]

Answer:

We need at least 217 compact fluorescent light bulbs

Step-by-step explanation:

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

$\alpha = \frac{1-0.99}{2} = 0.005$

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

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find 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.

How many compact fluorescent light bulbs need to be selected?

We need at least n bulbs, in which n is found when $M = 175, \sigma = 1000$

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

$175 = 2.575*\frac{1000}{\sqrt{n}}$

$175\sqrt{n} = 2575$

$\sqrt{n} = \frac{2575}{175}$

$\sqrt{n} = 14.71$

$\sqrt{n}^{2} = (14.71)^{2}$

$n = 216.5$

We need at least 217 compact fluorescent light bulbs

4 0

3 years ago

Read 2 more answers