Answer:
B, 0.4 in³
Step-by-step explanation:
A cone's volume is determined with the equation 4/3πr²(h/3). In this case, our radius is 0.5 because the diameter is 1, and our height is 3.5 inches. We plug those values into the equation to get approximately 0.92 in³.
Now for a sphere, the volume is determined by 4/3πr². Our diameter is 1, so our radius is 0.5, and pi is 3.14, so plugging that in we get about 0.52
Now we subtract the 2, 0.92 - 0.52 = 0.4
Answer:
(5, 18) and (-3, 2)
Step-by-step explanation:
We have two equations:
Let's eliminate y by setting the two equations equal:
Move all the terms to one side:
Factor:
Solve for x:
x - 5 = 0
x = 5
OR
x + 3 = 0
x = -3
Plug each of these values of x into any of the two original equations:
y = 8 + 2 * 5 = 8 + 10 = 18
y = 8 + 2 * (-3) = 8 - 6 = 2
The solutions are (5, 18) and (-3, 2).
Hope this helps!
Use half the fencing in each direction: 3 segments in one direction, 2 in the other.
<span>W * L = 24 million </span>
<span>3 W = 2 L </span>
<span>W * 3 W / 2 = 24 million </span>
<span>W^2 = 16 million </span>
<span>W = 4000 </span>
<span>L = 6000 </span>
<span>This shortcut (3 W = 2 L) </span>
<span>is derived from total fencing = 3W + 2L </span>
<span>and W*L = 24 million </span>
<span>total fencing = 3W + 2 * 24 million / W </span>
<span>and taking the derivative, setting to 0, and solving for W</span>
Bev is between the 6 and 8. Bev is 7. Jason is 5. Mary is 4. John is 8.
25 - 17 = 8
8/4 = 2
It is 2 standard deviations away from the mean (average).