General solution for cos(5x)-cos(2x)=0

1 answer:

7 0

<span>Simplifying cos(5x) + cos(2x) = 0
(5x) cos * 5x + cos(2x) = 0
</span> 5cos * x + cos(2x) = 0 Multiply cos * x 5cosx + cos(2x) = 0
(2x) 5cosx + cos * 2x = 0
5cosx + 2cos * x = 0 Multiply cos * x 5cosx + 2cosx = 0 5cosx + 2cosx = 7cosx 7cosx = 0 Solving 7cosx = 0 Solving for variable 'c'. cosx = 0 Simplifying cosx = 0

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In short your answer is 0

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat

____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that $\mu = 5.11, \sigma = 0.07$