Step-by-step explanation:
The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Answer:
The volume of the cylinder with given height and radius is 150.72 centimeters³ .
Step-by-step explanation:
Given as :
the height of cylinder = H = 12 centimeters
The diameter of cylinder = D = 4 centimeters
So The radius of cylinder = R = 
Or, R =
I.e R = 2 cm
The volume of cylinder is given as V =
×R²×H
where R is the radius and H is the height
So, V = 3.14×(2)²×12
Or, V = 3.14×48
∴ V = 150.72 centimeters³
So, The volume is 150.72 centimeters³
Hence The volume of the cylinder with given height and radius is 150.72 centimeters³ . Answer
Answer:
there is a 15/80 chance she will pick a black pen
there is also a 65/80 chance she will pick a blue pen
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:

cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:


At C'(x) = 0




x = 25


where; x = 25

C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
Answer: 1/1024
Step-by-step explanation:
When a fair coin is flipped the coin would show either head or tail meaning only 2 outcomes are possible. So, getting an head means 50% chance or 1/2 chance.
Now, it means chance for 10 times head every time= (1/2)^10
Chance= 1/1024
Chance= 0.00097