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3 years ago

Which of the following is equivalent to?

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

Answer is 1/6

Step-by-step explanation:

${36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6}$

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What type of information do you need to be given to prove two triangles are congruent?

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3 years ago

2(3.4-6)2+80:(17-5.3)2+3.√49

yaroslaw [1]

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3 years ago

Which expressions are equivalent to 2r+(t+r)

irga5000 [103]

Answer:

Option C -> None of the above.

Step-by-step explanation:

Given-

2 r + ( t + r )

⇒ 2 r + t + r

⇒ 2 r + r + t

⇒ 3 r + t

∵ 2 r + ( t + r ) = 3 r + t.

∴ The given expression is equivalent to Option C : None of the above.

8 0

3 years ago

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

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".

Part a

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

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

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3 years ago

A box is filled with thirty six plates. How many boxes can be filled with a thousand plates?

Yuki888 [10]

Hello there ^ _ ^

We know that 36 plates filled 1 box
if we have 1000 plates, how many box it would fill.

All we have to do is divide 1000 by 36 to find the answer.

1000/ 36 = 27.77777 or you can just say 28

I hope this help!

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3 years ago

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