Answer:
True False True
Step-by-step explanation:
1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE
2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.
3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE
Answer:
-764.28
Step-by-step explanation:
Given the joint cumulative distribution of X and Y as

#First find
and probability distribution function ,
:

#Have determined the probability distribution unction ,
, we calculate the Expectation of the random variable X:

#We then calculate
:

Hence, the Var(X) is 764.28
The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.
Domain is the values of x in the function represented by y=f(x), for which y exists.
THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".
Now we assume the
and 
So here since g(x) is a polynomial function so it exists for all real x.
<em> </em>does not exists when
, so the domain of f(x) is given by all real x except 6.
Now,

So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.
But domain of both f(x) and g(x) consists of the value x=4.
Hence the statement is not TRUE universarily.
Thus the given statement about the composition of function is FALSE.
Learn more about Domain here -
brainly.com/question/2264373
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My gut is telling me that the answer is C. 5
Answer: nah
Step-by-step explanation: