Find k such that the function is a probability density function over the given interval. Then write the probability density function.f(x) = k(16 - x); [0, 16]
A. 
; f(x) = 
(16 - x)
B. 16; f(x) = 16(16 - x)
C. 
; f(x) = 
(16 - x)
D. 256; f(x) = 256(16 - x)
Answer: A
Mathematics
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Construct a truth table for the statement.q ? ~r
A. 
| T | T | T |
F T T
F F T
B.
| T | T | F |
F T T
F F T
C.
| T | T | T |
F T F
F F F
D.
| T | T | F |
F T T
F F T
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Construct a Venn diagram illustrating the following sets.U = {2, 4, 6, 8, 10, 12}A = {2, 6, 10}B = {2, 4, 8}C = {2, 8, 10, 12}
A. 
B. 
C. 
D. 
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Find the volume of the pyramid. If necessary, round to the nearest hundredth.
A. 251.1 mi3 B. 788.45 mi3 C. 376.65 mi3 D. 753.3 mi3
Mathematics
Provide an appropriate response.Find the value and simplify: 4-1/2
Fill in the blank(s) with the appropriate word(s).
Mathematics