From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.
<span>A parabola that has a horizontal directrix is a parabola that opens up or down.
Here are some of its components:
1) Standard equation of a parabola with a horizontal directrix: (x-h)^2 = 4a(y-k),
a = distance from vertex to focus
2) Vertex at (h,k)
3) Focus(h,k+a)
4) Directrix: y = k-a
5) Axis of symmetry: x = h
A parabola that has a vertical directrix opens to the right or left and is on its side.
Here are some components
1) Standard equation of a parabola with a vertical directrix: (y-k)^2 = 4a(x-h)
2) vertex (h,k)
3) focus (h+a,k)
4) directrix: x = h-a
5) Axis of symmetry: y = k
Hopes this helps :)</span>
The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
c. The mean is given by:
d. The variance is given by:
The standard deviation is:
<u>Finding the proportionality constant</u> :
- y = k/x
- 16 = k/(1/2)
- <u>k = 8</u>
<u>Finding y when x = 17</u> :
The value of y is <u>8/17</u> when x = 17.
