To the nearest millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the length?
1 answer:
<h2>The ratio of the width to the length of a cell phone is 18 : 41.</h2>
Step-by-step explanation:
Given,
The length of a cell phone(l) = 82 mm and
The width of a cell phone(b) = 36 mm
Find, the ratio of the width to the length of a cell phone = ?
∴ The ratio of the width to the length of a cell phone
= 36 mm : 82 mm
= 36 : 82
Divided by 2, we get
= :
= 18 : 41
Thus, the ratio of the width to the length of a cell phone is 18 : 41.
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Answer:
The designed life should be of 21,840 vehicle miles.
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:
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.
Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.
This means that
Find its designed life if a .97 reliability is desired.
The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.
The designed life should be of 21,840 vehicle miles.