Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
 where 
- M is the average track length (12 μm) in the report
 - t is the two tailed t-score in 99% confidence interval (2.977)
 - s is the standard deviation of track lengths in the report (2 μm)
 - N is the total number of tracks (15)
 
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
 =12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
 
        
             
        
        
        
Answer:
(1, -5) or x=1, y=-5
Step-by-step explanation:
Hope this helps!
 
        
             
        
        
        
Multiply the price by the 5% by turning the percent into a decimal.
5% = 0.05
45.90 x 0.05 = $2.295
Which can be rounded to 2.30 if needed.
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
This is a multiplication problem.
We want to multiply 
We factor to get:
 
We now cancel out the common factors to get:
 
We now multiply the numerators and the denominators separately to get.
This simplifies to 
Therefore the simplified expression is 