Find the probability of the compound event.Urn A has balls numbered 1 through 8. Urn B has balls numbered 1 through 3. What is the probability that a 4 is drawn from A followed by a 2 from B?

A.  
B.  
C.
D.  


Answer: D

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (4t - 3t3)i  + 4tan(2t)j + e5tk

A. a = - ?i - 64j + 25k
B. a = ?i + 64j + 25e5/8?k
C. a = - ?i + 64j + 25e5/8?k
D. a = - ?i - 64j + 25e5/8?k

Mathematics

The demand for motorcycle tires imported by Dixie Import-Export is 60,000/year and may be assumed to be uniform throughout the year. The cost of ordering a shipment of tires is $600, and the cost of storing each tire for a year is $2. ? Determine how many tires should be in each shipment if the ordering and storage costs are to be minimized. (Assume that each shipment arrives just as the previous one has been sold.) ? __________ tires

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

Mathematics

Choose the equation that matches the graph.x = 3y2 - 2y - 2; y = 3x2 - 2x + 2x = 3y2 - 2y + 2; y = 3x2 + 2x + 2

A. y = 3x2 + 2x + 2 B. x = 3y2 - 2y + 2 C. x = 3y2 - 2y - 2 D. y = 3x2 - 2x + 2

Mathematics

For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 4x - 4, g(x) = 9x - 6Find (f - g)(x).

A. 13x - 10 B. -5x + 2 C. 5x - 2 D. -5x - 10

Mathematics