In an engineering firm all workers work a basic week of 40 hours.

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

$1,006.40

Step-by-step explanation:

Basic week = ($14.80/hour) * (40 hours) = $592.00

M-F overtime = ($14.80/hour ) * ( 1.25 ) * (12 hours) = $222.00

Sat overtime = ($14.80/hour ) * ( 1.5 ) * (2 hours) = $44.40

Sun overtime = ($14.80/hour) * ( 2 ) * (5 hours) = $148.00

Total wage = 592.00 + 222.00 + 44.40 + 148

Total wage = $1,006.40

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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar

a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

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 problem, we have that:

$\mu = 1200, \sigma = 60$