Answer:
At least 8.96 hours of sleep to be in the top 1%.
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.
In this question, we have that:
How many hours of sleep to be on the top 1%?
The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then
At least 8.96 hours of sleep to be in the top 1%.
That's the same thing as saying 2/3 multiplied by 7/6.
So, the answer is 7/9.
The inverse functions have a property that the composition of two inverse functions always results is x.
From the given options, only the pair given in option B result in the composition equal to x.
This proves, F(x) and G(x) are inverse of each other.
So the answer to this question is Option B
For 14, 15, and 16 you would move the decimal the number in the exponent to the left because the exponent is negative. For example 14 would be .00000030
To find the correct answer to the given question, it is important to bring both the units to liter or gallon. Let us convert the half gallon milk to liter. We already know that
1 gallon = 3.785 liter
Then
1/2 gallon = 3.785/2 liter
= 1.89 liter
From the above deduction we can conclude that the 2 liter juice bottle will hold more.
