An ice-hockey puck is slid along ice in a straight line. The puck travels at a steady speed of 20 ms^-1 and experiences no frict
1 answer:
Answer:
d. 50 m
Step-by-step explanation:
1. You have the following information given in the problem above:
- The speed of the puck is 20 and experiences no frictional force.
- The time is 2.5 seconds.
2. Then, to calculate the distance, you must apply the following formula:
Where is the distance,
is the speed and
is the time.
3. Now, you must substitute values into the formula, as below:
4. Therefore, the result is:
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Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean is given by:
So then the sample mean would be:
And the standard deviation would be: