What is 77/200 as a decimal

1 answer:

8 0

<span>The correct answer is 0.385.

Explanation<span>:
Decimals deal with powers of 10, such as 10, 100, 1000, etc. We can change this to a power of 10 by dividing both top and bottom by 2; this will give us 100 in the denominator.

77/2=38.5, so we have 38.5/100.

Dividing by 100 is the same as moving the decimal two places to the left, so we have 0.385.</span></span>

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be 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 problem, we have that:

$\mu = 0.499, \sigma = 0.002$