Missed work hours caused by one of a class of industrial accidents has a probability density function f (t) = e-t + e-t/2 + e-t/3 where t is measured in hours.What proportion of these accidents result in 5 or fewer missed work hours?Enter just a real number to two decimal places.

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


.91

Mathematics

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Solve the problem.Does the graph of the function y = 4x + 8 sin x have any horizontal tangents in the interval  If so, where?

A. Yes, at x = , x = 
B. Yes, at x = 
C. Yes, at x = , x = 
D. No

Mathematics

Simplify the expression.log3 

A.
B. - 
C.
D. - 

Mathematics

Evaluate the polynomial for the given values of the variables.Evaluate -x2y + 6xy2 - 6 for x = 6 and y = -5.

A. 1074 B. 726 C. 1086 D. 2154

Mathematics

A university alumni group wishes to provide an annual scholarship in the amount of $1,100 beginning next year. If the scholarship fund will earn an interest rate of 5% / year compounded continuously, find the amount of the endowment the alumni are required to make now. ?

A. $22,559 B. $21,118 C. $22,000 D. $21,556

Mathematics