6. Event A consists of 6 simple events. Event B consists of 3 simple events, none of which are in Event A. Event C is the union of A and B, and Event D is the intersection of A and B. Which of the following statements is true?
(Note: Given that Event X consists of n simple events,⎪X⎪ = n.)
F. ⎪B⎪ < ⎪A⎪ < ⎪C⎪ < ⎪D⎪
G. ⎪B⎪ < ⎪A⎪ < ⎪D⎪ < ⎪C⎪
H. ⎪C⎪ < ⎪B⎪ < ⎪A⎪ < ⎪D⎪
J. ⎪D⎪ < ⎪B⎪ < ⎪A⎪ < ⎪C⎪
K. ⎪D⎪ < ⎪C⎪ < ⎪B⎪ < ⎪A⎪
7. The base of a right square pyramid has a side length of 20 ft. The pyramid’s slant height is 15 ft. What is the total surface area, in square feet, of the pyramid?
A. 550
B. 600
C. 1,000
D. 1,600
E. 2,000
8. For how many integers x is the value of the expression (x − 1)(x − 4) a positive prime number?
F. 0
G. 1
H. 2
J. 3
K. 4
9. Which of the following degree values of x is NOT in the domain of the function below?
\[ f(x)=\frac{1}{1+sec x} \]
A. 0°
B. 45°
C. 60°
D. 150°
E. 180°
10. The function below is defined for constants a and b and for all positive integers n.
\[ r(n)=ab^n \]
It is known that \( r(1)=\frac{1}{2},r(2)=\frac{3}{2},r(3)=\frac{9}{2} \), and \( r(4)=\frac{27}{2} \). Which of the following functions is equivalent to r(n) ?
