.......................................
1 answer:
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Answer:
The correct answer is:
Step-by-step explanation:
Given that:
To find:
Solution:
Let
We have
...... (1)
Now, we have let:
Putting x = in f(x), we get
....... (2)
Comparing equation (1) and (2):
Taking cubes both sides:
Hence,
The <em>correct answer </em>is:
Answer:
This interval is between 1.5 and 15.5.
Step-by-step explanation:
Tchebysheff's Theorem
The Tchebysheff's Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by .
In this question, we have that:
Mean = 8.5
Standard deviation = 3.5
The manager wants to publish an interval in which at least 75% of these values lie.
By the Tchebysheff's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.
8.5 - 2*3.5 = 1.5
8.5 + 2*3.5 = 15.5
This interval is between 1.5 and 15.5.
=
The 2 right triangles are similar and so the ratios of corresponding sides are equal
The corresponding sides are x and 2, 6 and 1.5, hence
=