Answer:
(11, ∞).
Step-by-step explanation:
3 (x+2)+9<6(x-3)
3x + 6 + 9 < 6x - 18
-3x < -18 - 6 - 9
-3x < -33
x > 11 (Note the inequality flips as we are dividing by a negative value).
<h2>
Answer:</h2>
<em>Domain:</em> (−∞,∞) , {x|x∈R}
<h2>
explanation:</h2>
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
<u><em>Interval Notation:</em></u>
(−∞,∞)
<u><em>Set-Builder Notation:</em></u>
{x|x∈R}
i hope this helped. please give brainliest if it did!
|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4046336-if-df-9x-39-find-ef.html
Answer:
48
Step-by-step explanation:
here, we are using an = ar^n-1
so, we have to find a4= ar^4-1 = ar^3
now, putting the given values in the equation,
a4= (6)(2)^3 = 6(8) = 48
therefore, the 4th term is 48.
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Answer:
Let X the random variable that represent the heights 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 we know that the distribution for the sample mean
is given by:
And the standard error is given by:

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 heights 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 we know that the distribution for the sample mean
is given by:
And the standard error is given by:
