Answer:
See below.
Step-by-step explanation:
Total number of markers: 20 + 44 + 30 = 94
p(green) = 20/94 = 0.213
p(orange) = 44/94 = 0.468
p(blue) = 30/94 = 0.319
Choose the correct answer by comparing your choices with the 3 probabilities above.
Answer:
X = 3°
Step-by-step explanation:
Since O and T are parallel you can use alternating lines
7x + 5° = 5x + 11° (alt. angles, O||T)
Move the 5x and the 5°
7x - 5x = 11° - 5°
2x = 6°
Divide both sides by 2
x = 3°
This is assuming 11 is an angle
You have to multiply your 20cm by 6cm and your final answer being 120 because 0 times 6 is zero and 2 times 6 is 12, then that getting you 120
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed

Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C

Recall: 
Therefore:

The minimum cost occurs at the point where the derivative equals zero.


![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:

Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
Answer:

Step-by-step explanation:
The formula of a circumference of a circle:

