Provide an appropriate response.A card is drawn at random from a well-shuffled deck of 52 cards. Let A be the event that the card is a heart.Let B be the event that the card is a king.Find P(A), P(B), and P(A ? B). Are events A and B independent? How can you tell?

What will be an ideal response?


P(A) = 
P(B) = 
P(A ? B) = 
Yes; P(A ? B) = P(A) ? P(B)

Mathematics

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Solve.A sequence of yearly payments of $1700 is invested at the end of every compounding period, where interest is compounded semi- annually at 4.3%. What is the total amount of the annuity at the end of 5 years?

A. $18,742.69 B. $67,648.92 C. $41,393.20 D. $58,277.57

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Find the decimal form for the rational number. If it repeats, then so indicate with a bar.- 

A. -7.33
B. -7.3
C. -7.
D. -7.34

Mathematics

Perform the indicated operation. Round the result to the nearest thousandth if necessary.10.5 × 5.66

A. 4.84 B. 48.93 C. 59.43 D. 16.16

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Solve the problem.A company's cost for operating two warehouses is C(x, y) = 4x3y dollars, where x is the number of units in warehouse A and y is the number in B. Find the average cost to store a unit if A has 1 to 2 units, and B has 3 to 5 units.

A. $150 B. $60 C. $90 D. $120

Mathematics