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rjkz [21]
3 years ago
7

Solve 6x - 7y= 16 for y.

Mathematics
2 answers:
MakcuM [25]3 years ago
5 0

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

WITCHER [35]3 years ago
4 0

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

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Answer:

\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}                

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}

Sample size, n = 35

Sample mean, \bar{x} = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

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Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

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Plugging in the new values we get:

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