Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
6n+5, because you just subtract 9n with 3n
Answer:
V = 1206.3 
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = 
x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) =
x
x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone =
. This is the area of the circular part of the cone (
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) =
(On the top it's
x
x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3 
Answer:
repeating
Step-by-step explanation:
5/12 is 0.4166666 on and on forever. so it is repeating.
To simplify and solve this equation we must follow PEMDAS.
P=Parentheses
E=Exponents
M=Multiplication (from left to right)
D=Division (from left to right)
A=Addition
S=Substraction
We begin the process.
10^3=1000
10^7=10000000
New equation looks like this:
7.2*1000/1.8*10000000
We then multiply
7.2*1000= 7200
7200/1.8=4000
4000*10000000= 40000000000
<em>So our final answer is 40000000000.</em>
Hope this helps!
P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.