Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

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If f is a probability density function of a continuous random variable x in the interval , then the expected value of x is given by .



What will be an ideal response?


False. The expected value of x is .

Mathematics

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Solve by the substitution method. If the system is inconsistent or dependent, say so.x + y = 8x + y = 7

A. (0, 15) B. (8, 7) C. (0, 0) D. Inconsistent

Mathematics

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.(3, -9) and (9, 7)

A. y = 
B. y = -2- 3
C. x = 3
D. y = - 17 

Mathematics

Solve the system by graphing. 

A. (1, 0) B. (0, 0) C. (0, 1) D. (1, 1)

Mathematics

Tell whether the expression is a monomial. If it is, name the variable(s) and coefficient, and give the degree of the monomial.

A. Monomial; variable x; coefficient 13; degree -1 B. Monomial; variable x; coefficient 13; degree 0 C. Monomial; variable x; coefficient 13; degree 1 D. Not a monomial

Mathematics