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.
Answer:
x = 6
y = -6
Step-by-step explanation:
By adding both equations :-
=》-4x -2y + 4x + 8y = -12 + (-24)
=》-4x + 4x + 8y - 2y = -12 - 24
=》6y = -36
=》y = -36 ÷ 6
=》y = -6
putting the value of y in equation 2
=》4x + 8y = -24
=》4x + (8 × -6) = -24
=》4x - 48= -24
=》4x = 48 - 24
=》x = 24 / 4
=》x = 6
Answer: 1
Step-by-step explanation:
In order to find GCF, take the prime factorization of 3 and 13.
3: 1*3 ==> Prime factorization of 3
13: 1*13 ==> Prime factorization of 3
The common factor is 1.
GCF of 13 and 3 is 1
Answer:
Volume =
cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x = 
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume = 
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume = 