Answer:

Step-by-step explanation:
Given:
The expression to simplify is given as:

In order to simplify this, we have to use the law of indices.
1. 
So, 
Substitute this value in the above expression. This gives,

Now, we use another law of indices.
2. 
So, 
Substitute these values in the above expression. This gives,

Finally, we further simplify it using the law 
So, 
Therefore, the given expression is simplified as:

Answer:
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
In this question:
We apply the inverse Central Limit Theorem.
The mean monthy car payment for 123 residents of the local apartment complex is $624.
So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.
Answer:
The number of roots for equation
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation
is 4 .