<h3>Answer: Choice A) 11.4</h3>
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Explanation:
Refer to the table below.
The first step is to find the midpoint of each interval.
To do that, we add up the endpoints and divide by 2. The midpoint of the interval from 2 to 6 is 4 because (2+6)/2 = 8/2 = 4. Repeat these steps for the other intervals to find that the remaining midpoints are: 8, 12, 16, 20.
Overall, the midpoints from top to bottom are 4, 8, 12, 16, 20
Note how the midpoints are incrementing by 4 each time, which is the same distance between each successive left endpoint (and right endpoint endpoints as well).
Let's say m represents the set of midpoints which I'll form in the third column. Multiply the frequency column f by each corresponding midpoint m. The result fm forms the fourth column.
Add up everything in that fourth column to get 1140. We then divide that by the sum of the frequencies (100) to get 1140/100 = 11.4 which is the final answer. The average weight is 11.4 pounds.
Step-by-step explanation:
I cannot read the initial expression without doubt, but I just guess it is 3×sqrt(8).
that would make it : sqrt(9×8) = sqrt(72).
A is correct : sqrt(9)×sqrt(8) = sqrt(9×8) = sqrt(72).
B is correct : sqrt(6)×sqrt(12) = sqrt(6×12) = sqrt(72).
C is NOT correct : sqrt(6)×sqrt(24) = sqrt(6×24) = sqrt(144) = 12
D is correct : sqrt(3)×sqrt(24) = sqrt(3×24) = sqrt(72)
E is NOT correct : 72 is NOT sqrt(72)
F is NOT correct : sqrt(3)×sqrt(12) = sqrt(3×12) = sqrt(36) = 6
Answer:
![V=1,373.44\ cm^3](https://tex.z-dn.net/?f=V%3D1%2C373.44%5C%20cm%5E3)
Step-by-step explanation:
<u><em>The correct question is</em></u>
A cylinder has a base with a diameter of 10.8 centimeters and height 15 centimeters. Enter the volume of the cylinder, in cubic centimeters. Round your answer to the nearest hundredth
we know that
The volume of a cylinder is equal to
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
where
----> the radius is half the diameter
![h=15\ cm](https://tex.z-dn.net/?f=h%3D15%5C%20cm)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=(3.14)(5.4)^{2} (15)=1,373.44\ cm^3](https://tex.z-dn.net/?f=V%3D%283.14%29%285.4%29%5E%7B2%7D%20%2815%29%3D1%2C373.44%5C%20cm%5E3)
77.1% chance that all 3 orders are correct.
For three independent events to find the probability of each one occurring we multiply the probabilities together. .917*.917*.917 = .77109 or 77.1 percent chance of all three outcomes being favorable.
The completed factor is (7x+2) (x+5)