Answer:
C.
Step-by-step explanation:
Since the radius of the circle is 12 units, we can calculate the circumference.
2 * pi * r = 2 * pi * 12 = 24 * pi = 24pi.
The arc angle is 240 degrees, and the whole circle would be 360 degrees. So, we can set up an equation.



1 * x = 4 * 4 * pi
x = 16pi
So, your answer is C.
Hope this helps!
Answer:
A. (3, -2)
Step-by-step explanation:
A 180° rotation about the origin places an object in the quadrant diagonal to the one it started in. Moving the object two 90° turns, will place it in a coordinate that will make the values of 'x' and 'y' opposite to the initial value. In this case, vertex A has an initial point of (-3, 2), so after a 180° rotation, it would be (3, -2).
Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:

where
are the values that the variable can take and
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:

Where 
So, the variance V(x) is equal to:

Finally, the standard deviation is calculated as:

1.3005 x 10^4
10 to the fourth power
(4 pieces) / (6 kids) = (4/6) (pieces/kids) = 2/3 piece/kid