The number of possible combinations is given by
... C(18, 3) = 18!/(3!(18-3)!) = 18·17·16/(3·2·1) = 816 . . . . possible combinations
_____
There are 18 ways to choose the first one; 17 ways to choose the second one, and 16 ways to choose the 3rd one. The same 3 students can be chosen in any of 3! = 6 different orders, so the product 18·17·16 must be divided by 6 to get the number of possible combinations in which order doesn't matter.
Answer:
Width Length
5 8.7
7.9 11.6
9 12.7
11.3 15.0
13 16.7
Step-by-step explanation:
If they gave you the width, you add 3.7 to get the length.
If they gave you the length, you subtract 3.7 to get the width.
9514 1404 393
Answer:
a = 3, b = -8
Step-by-step explanation:
Solving the first equation for y, we get ...
2y +16 = 6x . . . . . given
y = 8 +3x . . . . . . . divide by 2
y = 3x -8 . . . . . . . subtract 8
In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:
y = ax +b
a = 3, b = -8
Answer:
C) (x-2)(x+3)
Step-by-step explanation:
x^2+x-6=(x-2)(x+3)
Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.
Answer:
The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
Step-by-step explanation:
Formula
Where r is the radius and h is the height .
As given
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.
Thus
= 62.8 cm³
Thus the volume of a cylinder is 62.8 cm³ .
= 20.9 (Approx) cm³
Thus the volume of a cone is 20.9 cm³ .
Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .
