A box contains one each of $2, $8, $40, $65, and $100 bills. You reach in and withdraw one bill. What is the expected value? Please round your answer to the nearest dollar.
?
$__________

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


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Mathematics

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Solve. Graph the solution on a number line, and express it in interval notation.x + 4 < 6

A. x < 2, (-?, 2)
 
B. x > 2, (2, ?)
 
C. x ? 2, [2, ?)
 
D. x ? 2, (-?, 2]
 

Mathematics

Find the particular solution to the given differential equation that satisfies the given conditions.2 + 7 - 15y = 0; Dy = 0 and y = 3 when x = 0

A. y = e-5x + e3x/2 
B. y = e5x + e-3x/2 
C. y = e-5x + e3x/2 
D. y = - e-5x - e3x/2 

Mathematics

Provide an appropriate response.Find the perimeter of a rectangle whose length is 14 inches and whose height is 9 inches. Use the formula P = 2(l + w).

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

Mathematics

Provide an appropriate response. In the circuit represented by the diagram, find the total current It if Ic = 62 A. All units are in amps. 

A. 77.9 amps B. 47.2 amps C. 102.3 amps D. 49.3 amps

Mathematics