The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
First, we need to find the z-score and this is expressed according to the formula;

x is the sample space
 is the mean value
 is the mean value
 is the standard deviation
 is the standard deviation 
Given the following parameters
Mean = $275,000
Standard deviation = $10,500
If the true mean is $273,000, then;

If the true mean is $277,000

This means that the z-score is between -0.1095 and 0.1095
Pr( -0.1095 ≤ z ≤ 0.1095)
According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
Learn more here: brainly.com/question/17436641
 
        
             
        
        
        
Step-by-step explanation:
![f(x) = \sqrt[3]{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D)
The domain of a function are the values of  that you can plug into the function
 that you can plug into the function  .
.
Values inside of a root must be non-negative, which means that  must be greater than or equal to zero. We can set up an equation to find the domain:
 must be greater than or equal to zero. We can set up an equation to find the domain:


With this, we know the domain of the function is  .
.
The range of a function are the values that  can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is
 can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is  .
.