Solve the problem.Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 4?

A.  
B. 3
C.  
D.  


Answer: C

Mathematics

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Use the figure below to answer the following question(s). The cheapest-link tour starting with vertex A is A, B, D, C, A

A. only if x > 5. B. only if x > 2. C. only if 0 < x < 1. D. only if 1 < x < 2. E. regardless of the value of x.

Mathematics

Suppose that John hands you a coin to flip and wants to bet on the outcome. Now, John has tried this sort of thing before, and you suspect that the coin is "rigged." You decide to test this hypothesis by taking a sample. You flip the coin twice, and it is heads both times. You say, "Aha, I knew it was rigged!" John replies, "Don't be silly. Any coin can come up heads twice in a row."

? The following scheme was devised to allow fair results even if the coin is somewhat biased. The coin is flipped twice. If it comes up heads both times or tails both times, it is flipped twice again. If it comes up heads-tails, this will decide the outcome in favor of the first party; and if it comes up tails-heads, this will decide the outcome in favor of the second party. Will this result in a fair toss even if the coins are biased? ? A. No B. Yes

Mathematics

At time t = 0, an object attached to a coiled spring is at its resting position and moving down. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 19;T = 4? seconds

A. d = -19 sin 
B. d = -4 sin 
C. d = -19 sin 
D. d = -19 cos 

Mathematics

Let v and w be two vectors in the plane with given magnitudes. The angle between v and w is ?. Find the expression. Round the answer to the nearest tenth. = 6,  = 15, ? = 44°Find 

A. 11.5 B. 19.8 C. -108.5 D. 16.2

Mathematics