Answer:
There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).
The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
 
        
             
        
        
        
Answer:

Step-by-step explanation:
We are given PS = 28 feet, which is the length of the diameter. 
The formula for arc length is   , where x is the degrees.
, where x is the degrees. 
So, we need to find the radius. We know that the radius is half of the diameter, so:

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:
∠PXT + ∠TXS = 180
125 + ∠TXS = 180
∠TXS = 180 - 125
∠TXS = 55°
Now, we can use the arc length formula:
 



Check my work to make sure! Hope this helps!
 
        
             
        
        
        
Answer:
Step-by-step explanation:
You are multiplying the identity matrix by another matrix.  
The effect of multiplying 
1  0  0
0  1  0
0  0  1
by another matrix of the same dimensions is nil...nothing happens.  So, the answer to this problem is the first matrix itself.  Just copy it down.