Answer:
The probability of rolling a specific number twice in a row is indeed 1/36
Step-by-step explanation:
because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6)
Setup is
y = k/x
8 = k/3
k = 24
Now use 6 for y
6 = 24/x
x = 24/6 = 4 or A
Answer:
1.875
Step-by-step explanation:
To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.
In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:



Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:




2sinxcosx is equal to sin(2x)
therefore,
= sin(2x)/cos(2x)
= tan(2x) (ANSWER)
Answer:
sin -115° = -0.91
Step-by-step explanation:
Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).
As for point B which was revolved around -115°,
the coordinates will be similar to point A but you just have to change the negative.
B(cos -115°, sin -115°) = B(0.42, -0.91)