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3 years ago

If angle ADC = 112 degrees, then angle BDC = ?

Mathematics

1 answer:

Anarel [89]3 years ago

5 0

68 because 180-112= 68

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4 years ago

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2 years ago

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4 years ago

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

Reptile [31]

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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:

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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.

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

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

$175\sqrt{n} = 2575$

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

$\sqrt{n} = 14.71$

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

$n = 216.5$

We need at least 217 compact fluorescent light bulbs

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4 years ago

Read 2 more answers