A researcher chooses three leaves from a target environment and classifies each sample as fungus-free or contaminated. Suppose that a leaf has a probability of 0.4 of being infected. Find the probability, that three leaves are infected. Please round your answer to three decimal places.
?
P = __________

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


0.064

Mathematics

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Determine if the series converges or diverges. If the series converges, find its sum.

A. converges; - 
B. converges; ?
C. diverges
D. converges; 

Mathematics

Translate the problem situation to a system of equations. Do not solve.Bill & Jose's Discount Cinema sold adult tickets for $5.70 each and children's tickets for $1.60 each. Last Tuesday, a total of $489.90 was collected from 114 movie watchers. How many of each type were sold?

A. x + y = 489.90; 5.70x + 1.60y = $114 B. x + y = 7.30; 5.70x + 1.60y = $489.90 C. x + y = 114; 5.70x + 1.60y = $489.90 D. x - y = 114; 5.70x + 1.60y = $489.90

Mathematics

Find the curvature of the space curve.r(t) = -9i + (4 + 2t)j + (t2 + 7)k

A. ? = 
B. ? = -  
C. ? = 
D. ? = 

Mathematics

Find the area of the surface generated when the given curve is revolved about the x-axis.  y =   on  

A.
B.
C. (19 - 7)
D. (21 - )

Mathematics