Answer:
The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of money that the family has invested in different real estate properties.
The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = $225,000 and <em>σ</em> = $50,000.
It is provided that the family has invested in <em>n</em> = 10 different real estate properties.
Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

Now the lowest 80% of the amount invested can be represented as follows:

The value of <em>z</em> is 0.84.
*Use a <em>z</em>-table.
Compute the value of the mean amount invested as follows:


Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.
the equation of the new function is:

<h3>What is the equation of the new function?</h3>
We have a function:

And we want to shift it five units to the right, and seven units down, then the new function will be:

If we now replace f(x), we get:

That is the equation of the new function.
If you want to learn more about translations:
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Answer:
2 x − 5 = 7 2x-5=7 2x−5=7.
Step-by-step explanation:
Add 5 to both sides. Simplify 7 + 5 7+5 7+5 to 1 2 12 12. Divide both sides by 2.