Answer:
12.85 m
Step-by-step explanation:
First, you have to find the arc length of the sector. To do that, use the formula for arc length.
Since the figure is a semicircle, we know the central angle is 180, so plug that in for x. We also know the diameter, which is 5. So plug that in for d. Once you get the arc length, add 5 to it. 5 is the diameter and is part of the perimeter
The answer is:
8 / (2/3) =
8 * 3/2 =
24/2 =
12 two-thirds oz packages can be made with 8 oz
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In addition to mean and sample size you will need the individual scores.
The formula for standard deviation is:
S^2 = E(X-M)^2/N-1
Here's an example:
Data set: 4,4,3,1
Mean: 3
Sample size: 4
First, put the individual scores one after the other and subtract the mean from it.
4 - 3 = 1
4 - 3 = 1
3 - 3 = 0
1 - 3 = -2
Second, square the answers you got from step 1.
1^2 = 1
1^2 = 1
0^2 = 0
-2^2 = 4
Third, plug the values from step 2 into the formula.
S^2 = (1+1+0+4)/(4-1) = 6/3 = 2
Standard deviation = 2
The volume of a box is equal to the product its width, length and height
V = whl
Since all of the sides are 4 inches, we end up with
V= 4*4*4
Simplify to V = 16*4 = 64.
If the volume of one box is 64:
V = 64
The volume of 12 boxes is 64 * 12.
12V = 768
Since the volume of 12 boxes is the same as the volume of the carton, the volume of the carton must be 768 cubic inches.
