180-60=120
60 is from the complementary angle
<h3>
Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability. - The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
Use the cosine formula
Cos(angle) = adjacent/ hypotenuse
cos(30) = x/8
Cos(30) can be written as sqrt(3)/2
Now you have :
sqrt(3)/2 = x/8
Multiply both sides by 8:
X = sqrt(3)/2 x 8
Simplify:
X = 4sqrt(3)
Answer:
-2 + 11h
Step-by-step explanation:
To simplify this equation, you can first combine like terms:
( -1 + -1 ) + ( -3h + -8h )
-2 + -11h