The conversion factor you use is 100 cm = 1 m.
You can divide 20 by 100 to get the answer.
20 cm/100 cm =.2 m
Hope this helped!
Answer:
- the expected value is 8
- the standard deviation is 2.8284
Explanation:
Given the data in the question;
The model N(t), the number of planets found up to time t, as a poisson process,
∴ N(t) has distribution of poisson distribution with parameter (λt)
so
the mean is;
λ = 1 every month = 1/3 per month
E[N(t)] = λt
E[N(t)] = (1/3)(24)
E[N(t)] = 8
Therefore, the expected value is 8
For poisson process, Variance and mean are the same,
Var[N(t)] = Var[N(24)]
Var[N(t)] = E[N(24)]
Var[N(t)] = 8
so the standard deviation will be;
σ[N(24)] = √(Var[N(t)] )
σ[N(24)] = √(8 )
σ[N(24)] = 2.8284
Therefore, the standard deviation is 2.8284
Scientists use the color of a star to determine its temperature.
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Answer:
Sensation refers to the process by which people detect physical energy in the environment and encode that energy as neural signals.
Explanation:
Sensation helps us to detect changes in our physical environment.
Sensation occurs in three steps,
- Sensory receptors, these detect stimuli.
- Sensory stimuli are converted into electrical impulses to be decoded by the brain.
- Finally, electrical impulses move along neural pathways to specific parts of the brain wherein the impulses are decoded into useful information.
Therefore, Sensation refers to the process by which people detect physical energy in the environment and encode that energy as neural signals.
Acceleration of the car is 3.375 m/s² and the force of the car moving forward is 5062.5 N
Explanation:
- Acceleration is the rate of change of velocity.
- It is given by the equation, a = change in velocity/time
Here, velocity changes from 0 to 27 m/s and time = 8
⇒ Acceleration = 27 - 0/8 = 27/8 = 3.375 m/s²
- Force is calculated by the equation, F = Mass × Acceleration
- This is based on Newton's second law of motion.
Here, mass of the car = 1500 kg and a = 3.375 m/s²
⇒ Force = 1500 × 3.375 = 5062.5 N