The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
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The answers for the problems are: 6. -18
9. 6
12. -40
So based on the given problem above, it says that, for one batch with 3/4 cup of brown sugar can make 6 dozen big cookies. If we are to make 15 dozen cookies, what we need to do is to divide 3/4 cup of brown sugar by 6 dozen, and we get 0.125. This means that per dozen, it is equivalent to 0.125 cup of brown sugar. If we multiply it by 15 dozens, we get 1.875 cup or 1 and 7/8 cup of brown sugar. Hope this answer helps.
300 milliliters in each container because 2.1 liters is 2100 milliliters and 2100/7 is 300
Quotient is Latin for "how many times" and it is the answer to a division problem.
560/7=80
we can prove this by doing it backwards
7*80=560