Provide an appropriate response.The random variable X has density function f(x) = Find (a) P(20 ? X ? 40) and (b)  P(X ? 40).

Fill in the blank(s) with the appropriate word(s).


(a) (1/4) (b) (1/4)

Mathematics

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Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 

A. x-intercept: (0, 0) , y-intercept: (0, 0) ;

B. x-intercept: (0, 0) , y-intercept: (0, 0) ;

C. x-intercept: (0, 0) , y-intercept: (0, 0) ;

D. x-intercept: (0, 0) , y-intercept: (0, 0) ;

Mathematics

Construct a truth table for the statement.r ? ~(c ? q)

A.

TTTT
T T F T
T F   T T
T F F T
F T T F
F T F T
F F T T
F F F T
B.
TTTT
T T F T
T F T T
T F F T
F T T F
F T F T
F F T T
F F F F

Mathematics

Solve the system by graphing. ? ?

What will be an ideal response?

Mathematics

Solve the inequality.In order for a chemical reaction to remain stable, its Celsius temperature must be no more than . Find the Farenheit temperatures at which the reaction will remain stable. 

A. F ? 49.72° B. F ? 250.7° C. F ? 49.72° D. F ? 250.7°

Mathematics