Expected value E(x) = 0.6(200,000) + 0.2(100,000) - 0.2(200,000) = 120,000 + 20,000 - 40,000 = 100,000
Therefore, the expected value is $100,000, so the company should build the mousetrap.
1. (0,1) , (1,6) , (2,11)
2. (0,10) , (1,9) , (2,8)
3. (0,0) , (1,2) , (2,4)
hope this helps.
G(f(x))= (7x+8)^4
g(f(x))= (7(0)+8)^4
=(0+8)^4
=8^4
=8•8•8•8
=4,096
Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere = 
radius is given as 4, so,
Volume of Hemisphere = 
Now, Volume of Cone = 
Where radius is 4 and height is 10, so,
Volume of Cone = 
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere = 
Surface Area of Cone = 
We dont need to use the first part,
since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone = 
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters
The formula is y=mx+c
When a graph is written in the form y = mx + c, m<span> represents the gradient and </span>c<span> represents the </span>y<span> intercept.</span>