What is the rational exponent?
1 answer:
Answer:
Step-by-step explanation:
A rational exponent is made up of the power on the radicand (the number under the radical) and the index (the number that sits in the little bend of the radical sign). The rational exponent uses the power as the numerator and the index as the denominator. Even though you do not see any power on the 6, it is understood to be a 1. So rewriting this radical as an exponent is
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Answer:
Step-by-step explanation:
The change of form formula (exponential to logarithm) is:
Looking at the problem given, we can simply write the logarithmic form as:
This is the answer.
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:
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
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
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.