A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer
1 answer:
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Answer:
- a) T is not homogeneous
- b) T is not additive
- c) T is not homogeneous
- d) T is not additive
- e) T is not additive
Step-by-step explanation:
In each case there is an example where one property of linear functions fails.
- a)
. These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).
- b)
. Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).
- c)
so T is not homogeneous.
- d)
then T is not additive.
- e)
then T is not additive.
Answer:
And using the normal standard table or excel we find the probability:
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".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then, the distribution for the sample mean is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability: