Sin a ______ = 1/2 [ sin ( a + b ) + sin ( a - b) ]

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

Cos b

Step-by-step explanation:

1/2[sin(a+b)+sin(a-b)]

1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]

1/2[2sin a cos b]

sin a cos b

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The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil

Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 83, \sigma = 3$