Answer:

Step-by-step explanation:
Given
The above data
Required
Determine the expected value E(x)
E(x) is calculated as thus;

Where f(x) represents the total sale of each outcome;
For A:


For B:


For C:


Hence, E(x):


ANSWER

EXPLANATION
The area of a regular polygon is

where 'a' is the apothem of the polygon and 'p' is the perimeter of the polygon.
From the diagram,

a=8sin(60)




The length of one side of the hexagon is 2×4=8.
The perimeter of the hexagon is
p=6×8=48
The area of the hexagon is


Answer:
move each point of the triangle 5 units to the right and one unit up.
G is at -3,-1
-3+5 = 2
-1+1 = 0
2,0 is the coordinates of G' or the new G
T is at -1,-1
-1+5 = 4
-1+1 = 0
4,0 is the coordinates of T' or the new T
Last of all, B is at -3,-5
-3+5 = 2
-5+1 = -4
2,-4 is the coordinates of the B' or the new B.
Step-by-step explanation:
12! = 12x11x10x9x8x7x6x5x4x3x2x1 =479,001,600
3! = 3x2x1 =6
13! = 6,227,020,800
6,227,020,800 x 6 = 37,362,124,800
479,001,600/37,362,124,800=0.0128
Answer:
B. x=3/7 y=22/7
C. because it is not precise
D. you need to replace these values in the above equation
<u>Check Understanding</u>
to find the intersection point:
y=y
-3x-2=x-10
solve, x=2
B. by graphing the 2 lines (equations)
Step-by-step explanation: