<h2>
Answer with explanation:</h2>
We know that a removable discontinuity occurs when:
The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.
Also it is a point on the graph such that it is undefined at that point.
The graph that has a removable discontinuity is attached to the answer.
Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.
The probability that a randomly selected man dies of cancer during the course of the year =
The probability that a randomly selected man does not die of cancer during the course of the year =
The probability that atleast one man of this age dies of cancer is the complement of the probability that no man dies of cancer. In equation form we can write:
Probability that atleast one man of this age dies of cancer = 1 - No man at this age dies of cancer
The probability that no man dies of cancer out of 1000 selected men =
, rounded of to 5 decimal places
Thus the probability that atleast one man at this age dies of cancer = 1 - 0.04956 = 0.95044
Answer:
C(-4,-2), D(3,-7)
Step-by-step explanation:
we procced to identify points:
A(-4,-7), B(3,-2)
for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)
C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where
So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change = 
= 
= 4 → E
