The life span of a certain plant species (in days) is described by the probability density function
?

?
If a plant of this species is selected at random, how long can the plant be expected to live?
?
__________ days

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


100

Mathematics

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Use the table or graph to answer the question.Company MRK declared profits of $3,000,000 for the year 2012. The profits were from its three groups (research, product, and consulting) as shown in the pie chart. The profits from the product group were further categorized as shown in the second pie chart. How much was the profit from appliances?

A. $900,000 B. $450,000 C. $600,000 D. $360,000

Mathematics

Rewrite as a radical expression and simplify if possible. Assume all variables represent nonnegative real numbers.(-8)1/3

A. 2 B. -8 C. -2 D. Not a real number

Mathematics

Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 81 - x2 and the x-axis, with density ?(x) = 9x2

A.  = 0,  = 
B.  = 0,  = 
C.  = 0,  = 
D.  =  = 0

Mathematics

Solve the problem.Find the area of the shaded sector. Round to one decimal place.

A. 184.7 ft2  B. 92.3 ft2  C. 4.0 ft2  D. 0.7 ft2 

Mathematics