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alisha [4.7K]
3 years ago
8

The weights of bags filled by a machine are normally distributed with a standard deviation of 0.05 kilograms and a mean that can

be set by the operator. At what level should the mean weight be set if it required that only 1% of the bags weigh less than 9.5 kilograms? Round the answer to 2 decimal places.
Physics
1 answer:
Pie3 years ago
7 0

Answer:

9.62 kg

Explanation:

From a z-score table, P(z<-2.33) ≈ 0.01.  So 9.5 should be 2.33 standard deviations below the mean.

z = (x − μ) / σ

-2.33 = (9.5 − μ) / 0.05

-0.1165 = 9.5 − μ

μ = 9.6165

Rounding to 2 decimal places, the mean should be set to 9.62 kg.

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The inverse of f(x) is (6x + 2)/x.

<h3>What is an inverse function?</h3>

The inverse function is defined as a function obtained by reversing the given function.

Given that f(x) = 2/(x-6)

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

So after switching x and y,

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x = 2/(y - 6)

Now, we solve for y regularly.

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Therefore the inverse of f(x) is (6x + 2)/x

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