Which of the following expressions are equivalent to 6-3?
1 answer:
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Answer:
A. Your battery is likely defective since such poor performance is extremely unlikely.
Step-by-step explanation:
When the distribution is normal, we use 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.
If X is more than two standard deviations from the mean, it is considered an unlikely outcome.
In this question, we have that:
Which of the following conclusions is the most appropriate given this information?
Lasted 400 hours, so X = 400.
4 standard deviations from the mean, so unlikely.
So the correct answer is:
A. Your battery is likely defective since such poor performance is extremely unlikely.
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
⇒
⇒
Now, taking log both sides we get,
y log 1.12 = log 3 {Since, }
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)