The elevator paused for 10 seconds after you stepped on before beginning to rise at a constant rate of 8 feet per seconds. Propo
2 answers:
Answer:
<h2>Non-proportional.</h2>Step-by-step explanation:
In this situation, the elevator started to move 10 seconds after you stepped on, that means, for 10 seconds, the elevator didn't move at any rate, so the slope of the line that describes this interval is zero, horizontal.
After those 10 seconds, the elevator started to move with a rate of 8 feet per seconds.
So, as you can see, there are two different ratios in the same problem, or in the same graph, that means, this situation is represented by a piecewise function, because there are two differente behaviours with different ratios, that makes the situation non-propotional.
If you graph this problem, there would be an horizontal line at the beginning at and then a proportional line after
, that change makes the situation non-proportional.
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Answer:
And using the normal atandard table or excel we got:
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
Let X the random variable that represent the length of the tape of a population, and for this case we know the following parameters
Where and
We sselect a sample size of n =78>30. From the central limit theorem we know that the distribution for the sample mean is given by:
And we want to find this probability:
And using the normal atandard table or excel we got: