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mmoreno8041
13.01.2021 •
Mathematics
For each 7 mm of coloured fabric Paul uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
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Ответ:
9514 1404 393
20 : 7
Step-by-step explanation:
2 cm = 20 mm, so the ratio of white to colored fabric is ...
20 mm : 7 mm = 20 : 7
Ответ:
The guarantee should be made of
years, in which
is the standard deviation given in part (a).
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 zscore of a measure X is given by:
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.
Assume that the average life of a refrigerator is 14 years
This means that![\mu = 14](/tpl/images/1191/0375/9f838.png)
The standard deviation given in part (a) before it breaks.
This will be the value of![\sigma](/tpl/images/1191/0375/42440.png)
However, the company does not want to replace more than 6% of the refrigerators under guarantee. For how long should the guarantee be made?
We need to find the 100 - 6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555. So
The guarantee should be made of
years, in which
is the standard deviation given in part (a).