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ArbitrLikvidat [17]
2 years ago
11

1. On the subway, 8 out of 11 people are

Mathematics
1 answer:
zysi [14]2 years ago
4 0

Answer:

87-88

Step-by-step explanation:

8/11 =72.72\\
700/11 = 87.5\\


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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

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

P(140< \bar X

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What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)
kondor19780726 [428]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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tan60 = √3

2 tan 45 - tan 60​

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Answer:

O the circumcenter is equidistant to all three vertices

Step-by-step explanation:

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