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3 years ago

Find the surface area of a cube with side length 12 m.

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

Answer:

864m

Step-by-step explanation:

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I will reward points!!!!

elixir [45]

Answer:

Step-by-step explanation:

slope is the change of y / change of x

we can pick any points and find the changes in y and x

lets pick (0 , 0) and (5 , 6) .

the change of y = 6-0 = 6.

the change of x = 5-0 = 5.

so the slope of the line is 6/5

5 0

3 years ago

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2

nikklg [1K]

Answer:

n=97

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

$X \sim N(\mu, \sigma=0.01)$

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 $\z_{\alpha/2}$ , $\alpha=1-0.95=.05$ and $\alpha/2=0.025$

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

$z_{\alpha/2}=1.96$

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:

$n=(\frac{1.96(0.05)}{0.01})^2 =96.04$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.01 Liters$ is n=97.

5 0

4 years ago

3) For what price is 15 percent off the same as $75 off?

Kryger [21]

$\text{In this question, you would need to find the right value that 15\% is \$75}\\\\\text{You can do this by multiplying each number by 0.15}:\\\\200*0.15=30\\\\300*0.15=45\\\\350*0.15= 52.5\\\\500*0.15=75\\\\\text{You would see that 15\% of 500 is \$75}\\\\\boxed{\$500}$