Answer:
The diameter is 13.88 feet.
Step-by-step explanation:
1. The formula for calculate the volume of a sphere is:
Where 
is the radius.
2. The diameter is:
3. So, you must solve for the radius in the first equation:
![r=\sqrt[3]{\frac{4V}{3\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B4V%7D%7B3%5Cpi%7D%7D)
![r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B4%28790.272ft%5E%7B3%7D%20%29%7D%7B3%5Cpi%7D%7D%5C%5Cr%3D6.94ft)
4. Then, the diameter is:
<span>The <u>correct answer</u> is:
The midpoint of a segment.
Explanation<span>:
To construct a line parallel to another line through a given point, the first thing you do is fold the given line onto itself, making sure that the given point is on the fold. This is the same construction used to find the midpoint of a segment.
Unfold the paper, and the crease made with the fold creates a line through the given point and given line. Fold this new line (crease) onto itself, making sure the given point is in the fold. This is again the same construction used to find the midpoint of a segment, and this creates our parallel line through our given point.</span></span>
Answer:
Probabilities
Likely to happen (L) Unlikely to happen (U)
a. 4/5 5/8
b. 3/5 3/8
c. 4/5 4/7
d. 0.3 0.09
e. 5/6 and 4/5 2/3
Step-by-step explanation:
Probabilities in Percentages:
a. The probability of 4/5 = 80% and 5/8 = 62.5%
b. The probability of 3/8 = 37.5% and 3/5 = 60%
c. The probability of 4/5 = 80% and 4/7 = 57%
d. The probability of 0.3 = 30% and 0.09 = 9%
e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%
b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.
If she cut off nine pieces of 2-inch ribbon, in all, that would be 18. After that, it would simply be the matter of subtracting 24 and 18.
24 - 18 = 6.
And there's your answer. Liz has 6 inches of ribbon left.
