Answer:
-2y + 12
Step-by-step explanation:
-2(y - 6)
-2y + 12
Answer:
Use the cosine rule
Step-by-step explanation:
1. Apply formula of c^2 = a^2 + b^2 - 2abcosC
2. Substitute known values in: c^2 = 36 + 4900 - 840cos120
3. Apply algebra and use the calculator
4. Final answer is 73.18 (2 decimal places)
Answer:
The answer is D
Step-by-step explanation:
Answer: 0.6000
Step-by-step explanation:
Given : The annual increase in height of cedar trees is believed to be distributed uniformly between 5 and 10 inches.
Then the probability density function:-

Then , the probability that a randomly selected cedar tree will grow less than 8 inches in a given year will be :-
![P(x\leq8)=\int^8_5f(x)\ dx\\\\=\int^8_5(\dfrac{1}{5})\ dx\\\\=\dfrac{1}{5}[x]^8_5\\\\=\dfrac{1}{5}\times(8-5)=\dfrac{3}{5}=0.6000](https://tex.z-dn.net/?f=P%28x%5Cleq8%29%3D%5Cint%5E8_5f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E8_5%28%5Cdfrac%7B1%7D%7B5%7D%29%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E8_5%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Ctimes%288-5%29%3D%5Cdfrac%7B3%7D%7B5%7D%3D0.6000)
Hence, the probability that a randomly selected cedar tree will grow less than 8 inches in a given year =0.6000