Factorize fully 6c+9x^3

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

2 years ago

Please answer correctly. Thanks! Will mark brainliest

PSYCHO15rus [73]

Answer:

$x=2\\y=22\\or\\(2,22)$

Step-by-step explanation:

$x+y=24\\y=11x$

Subtitute y in the first equation.

$x+y=24\\x+11x=24\\12x=24\\x=\frac{24}{12}\\ x=2$

Now replace x in either equation to find y.

$y=11x\\y=11(2)\\y=22$

5 0

3 years ago

Read 2 more answers

a company wants to design a cylindrical object that has a height of 10 centimeters and a volume of at least 2,000 cubic centimet

AveGali [126]

Answer:

1750 is the answer

7 0

3 years ago

A figure is translated horizontally 4 units. Which drawling shows a correct translation?

mash [69]

Answer: A

Step-by-step explanation: It is the only one being mirrored horizontally as, if the question said to find the one translated vertically, D would be the answer. C is incorrect because it just repeats the first figure and B is incorrect because it is translated vertically in an incorrect manner.

So in the end, The answer would be A.

5 0

3 years ago

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)

natita [175]

Answer:

$33\sqrt{2} +12$