Answer:
-2 <x <35
Step-by-step explanation:
Given the following which is the mean and standard deviation of
the dune’s movement over one year and need to find out what the ten year mean
and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per
decade. The ten-year standard deviation is somewhat more complicated. Multiple independent
trials accumulate standard deviation as the square root of the number of trials
since an unusually high level of movement ten years in a row. The decade is
going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
<span> 90 < 110 + z (6.32 feet)</span>
<span> -20 < z (6.32 feet)</span>
<span> z > - 3.16</span>
<span>By using the z table, it shows the probability of 0.9992. This
result shows that as 90 feet is lesser than the mean travel that is expected
over decade. </span>
Answer:
301.44 cm ^ 2
Step-by-step explanation:
We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.
the area of the base, being a circle is pi * r ^ 2
the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l
the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:
l ^ 2 = 6 ^ 2 + 8 ^ 2
l ^ 2 = 100
l = 10
Therefore, we can replace:
A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6
A = 301.44
It means that the total surface area is 301.44 cm ^ 2
Answer:
48
Step-by-step explanation:
((8+16)÷2)×4=48
so the area would be 48
Notice that when we go from 4! to 3! , we divide by 4.
(Because <em>the 4's cancel</em>)
And when we go from 3! to 2! , we divide by 3, and etc.
We can use this pattern to see why 0! = 1.
And so by following the pattern, we determine that 0! = 1
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Note:
There are no factorials of negative numbers, and we can use the pattern to show why:
You can't divide a number by 0, therefore -1! doesn't exist, so -2! doesn't exist and so on. So you can't do the factorial of any negative number.
(Or at least there no real solutions to negative factorials)
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