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3 years ago

We know that 455 students are in school today.

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

650

Step-by-step explanation:

s= 455/0.70

s=650

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Hello there. May somebody help me simplify this problem? It would be very kind.

marissa [1.9K]

Answer:

27 / (4x⁶y⁸)

Step-by-step explanation:

$\frac{4(3x^{2}y^{4})^{3}}{(2x^{3}y^{5})^{4}}$

When raised to a power, multiply the exponents.

$\frac{4(3^{3}x^{6}y^{12})}{2^{4}x^{12}y^{20}} \\\\\frac{2^{2}3^{3}x^{6}y^{12}}{2^{4}x^{12}y^{20}}$

When dividing, subtract the exponents.

$2^{2-4}3^{3}x^{6-12}y^{12-20}\\2^{-2}3^{3}x^{-6}y^{-8}$

Move negative exponents to the denominator.

$\frac{3^{3}}{2^{2}x^{6}y^{8}}\\\frac{27}{4x^{6}y^{8}}$

8 0

3 years ago

(2ab+9a-4) - (ab+2)

skad [1K]

Answer:

$\boxed{\bold{ab+9a-6}}$

Step-by-step explanation:

Remove parenthesis: (a) = a

$\bold{2ab+9a-4-\left(ab+2\right)}$

$\bold{-\left(ab+2\right): \ -ab-2}$

$\bold{2ab+9a-4-ab-2}$

Simplify $\bold{2ab+9a-4-ab-2}$

$\bold{ab+9a-6}$

Regards,

Mordancy

7 0

3 years ago

There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?

Reil [10]

You can look on the app Socratic to help you.

8 0

3 years ago

Read 2 more answers

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

The Morris family drove 368.5 miles in 5.5 hours. Find the average rate of speed

yuradex [85]

Answer:

67 mph

Step-by-step explanation:

A method you'd want to remember is r = d/t, or rate equals distance divided by time.

Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.

(368.5/5.5) = 67 miles per hour.

So their average rate is 67 miles per hour.

Hope this helps.

3 0

3 years ago