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Iteru [2.4K]
2 years ago
15

A systems engineer is experimenting with a system that has traditionally produced an average quality index of 10 and a standard

deviation of 10. She is experimenting with a new method, and she will produce n outputs that are normally distributed with a new mean and the same standard deviation of 10. A standard Single Sample Z Test will be used. You would like to find a value of n such that the type I error rate is less than 5% and the type II error rate is less than 10% if the population mean of the new method is 8. Try the following values for n: 100, 200, 300, 400 and 500. Which ones meet the criteria? Which one would you choose considering that samples cost money?
Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

n= 300

Step-by-step explanation:

Please see attachment.

Download pdf
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In XYZ, what is the cosine ratio of X?
Wittaler [7]

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

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Irina-Kira [14]
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3 years ago
-2( -4x - 2 ) - 5x + 5 = -12
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Answer:

use distributive and combine like terms

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dedylja [7]

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

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4x² + 32x + 64 + 8x = 0

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x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

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Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

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Calculate the length of PQ using the distance formula

PQ = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

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PQ = \sqrt{(-2-(-8))^2+(4-(-8))^2}

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       = \sqrt{36} × \sqrt{5}

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Step-by-step explanation:

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