Step-by-step explanation:
Given:
This field will have a scalar potential if it satisfies the condition . While the first x- and y- components of are satisfied, the z-component doesn't.
Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector as
and its differential is
The work done then is given by
Answer:
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
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.
The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.
This means that
Find the probability of a bulb lasting for at most 605 hours.
This is the pvalue of Z when X = 605. So
has a pvalue of 0.8413
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
Answer:
Kyle should choose Option B. The mathematical expectation of this option is 7 and is the greater mathematical expectation of the two options.
Step-by-step explanation:
i took the k-12 quiz
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If rotated around the origin clockwise the new point is found at (-2,-5)