<span>6a - 2a = -36
4a = -36
a = -36/4
a = -9 </span>
Cosine is adjacent/hypotenuse, so the answer is A: 25/24.
Remember this: SohCahToa
Soh- Sine=opposite/hypotenuse
Cah- Cosine=adjacent/hypotenuse
Toa- Tangent=opposite/adjacent
Hope that helps!
Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
3x+x= 180°(straight angle)
4x= 180°
x= 180/4
x= 45°