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2 years ago

Please help me out here!

Mathematics

1 answer:

allsm [11]2 years ago

7 0

9514 1404 393

Answer:

1/4

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

3z² = 3(√3/6)² = 3(3/6²) = 9/36 = 1/4

The whole point of √3 is that the square of it is 3. The square of a fraction is the fraction multiplied by itself. The usual rules of multiplying fractions apply.

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The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same

givi [52]

Since both objects are assumed to have the same volume, matching the formulas we'll get:

π $r^{2}$ h = $\frac{1}{3}$ π $R^{2}$ h

Having both <span>π and h at both sides of the equation, we can ignore them, so:

</span><span> $r^{2}$ = $\frac{1}{3}$ $R^{2}$
</span>
And clearing R, according to the equation rules, we'll get:

$\sqrt[2]{3 r^{2} }$ = R

5 0

3 years ago

Read 2 more answers

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the pr

Gre4nikov [31]

Answer:

$z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5$

$z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5$

And using a calculator, excel ir the normal standard table we have that:

$P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)$

And we can calculate the probability like this: $P(-1.5 \leq Z \leq 1.5) = P(z$ Step-by-step explanation:

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(50,12)$

Where $\mu=50$ and $\sigma=12$

Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

We can find the probability required like this:

$z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5$

$z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5$

And using a calculator, excel ir the normal standard table we have that:

$P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)$

And we can calculate the probability like this:

$P(-1.5 \leq Z \leq 1.5) = P(z$

4 0

3 years ago

Need someone’s help please.

andreev551 [17]

Answer

220

Step-by-step explanation:

11•10=110

110•2

220

4 0

3 years ago

Read 2 more answers

Refer to the diagram shown.

Veseljchak [2.6K]

お尻のゲイの毛皮の精液は私をファックしてください

3 0

3 years ago

a motorist starts from O nd moves in a direction 030° for 36km.he then moves 7km towards the west .how far east his he now from

gavmur [86]

Answer:

11 km

Step-by-step explanation:

Assuming your "direction 030°" is a bearing measured clockwise from north, the amount the motorist moved east on the first leg of the journey was ...

(36 km)sin(30°) = 18 km

From that point, moving 7 km west makes his easterly position ...

18 km -7 km = 11 km . . . . east of O

_____

The sine of an angle is the ratio of the side opposite to the hypotenuse. You can find the length of the side opposite (the easterly motion) by multiplying the sine of the bearing angle by the distance of travel. A diagram can help.

5 0

3 years ago