I think the answer would be = 16/5 = 31/5 and the other part to the simplest form would be 625/10000<span> = </span>1/16<span> when reduced to the simplest form........</span>
L = W + 12
P = 7W = 2L + 2W
7W = 2W + 24 + 2W
3W = 24
W = 8
L = 20
Some objected to slavery on moral grounds, believing that it violated christian teachings , while others simply did not want to complete economically with slave-owners.
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
N(489,6)
This means that ![\mu = 489, \sigma = 6](https://tex.z-dn.net/?f=%5Cmu%20%3D%20489%2C%20%5Csigma%20%3D%206)
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{466 - 489}{6}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B466%20-%20489%7D%7B6%7D)
![Z = -3.83](https://tex.z-dn.net/?f=Z%20%3D%20-3.83)
has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.