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Vika [28.1K]
3 years ago
15

Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal

thickness of incoming shipments has a mean of 0.2731 mm with a standard deviation of 0.000959 mm.
a. A certain shipment has a diameter of 0.2761. Find the standardized: score of the shipment.
b. Is this an outerlier?
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

a) 3.128

b) Yes, it is an outerlier

Step-by-step explanation:

The standardized z-score for a particular sample can be determined via the following expression:

z_i = {x_i -\bar x}/{s}

Where;

\bar x = sample means

s = sample standard deviation

Given data:

the mean shipment thickness (\bar x) = 0.2731 mm

With the standardized deviation (s) = 0.000959 mm

The standardized z-score for a certain shipment with a diameter x_i= 0.2761 mm can be determined via the following previous expression

z_i = {x_i -\bar x}/{s}

z_i = {0.2761-0.2731}/{ 0.000959}

z_i = 3.128

b)

From the standardized z-score

If [z_i < 2]; it typically implies that the data is unusual

If [z_i > 2]; it means that the data value is an outerlier

However, since our z_i > 3 (I.e it is 3.128), we conclude that it is an outerlier.

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Answer:

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Step-by-step explanation:

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Answer:

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For this case we know that sin (\pi/4) = \frac{\sqrt{2}}{2}

So then sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}

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For this case we know that cos (\pi/6) = \frac{\sqrt{3}}{2}

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So from definition of tan we have this:

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Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to 2\pi:

17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4

For this case we know that sin (\pi/4) = \frac{\sqrt{2}}{2}

So then sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}

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19 \pi/6 - 2\pi = \frac{7\pi}{6}

For this case we know that cos (\pi/6) = \frac{\sqrt{3}}{2}

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For this case that any factor of \pi the sin function is equal to 0.

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3 years ago
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Answer:

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Step-by-step explanation:

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x2 = -12

y1 = -6

y2 = -10

If we put in the values:

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that means b is equal to -6

Hope i was able to help!

If you have any questions, just ask them in the comments below!

Have a good day! (●'◡'●)

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