PLEASE HELP

1 answer:

8 0

A) Total cost of materials: 145.86 + 52.91 + 17.63 = $216.40
b) Percent cost of hardware: 17.63/216.40 = 0.081
c) Percent cost paint and hardware: (17.63 + 52.91)/216.40 = 0.326

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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:

$\mu = 29.9, \sigma = 2.31$