Answer:
 
                                   
Step-by-step explanation:
Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.
To find : A 99% confidence interval for the mean yield when the new catalyst is used ?
Solution : 
Let X be the yield of the batches.
We have given, n=10 ,  , s=5.8%
 , s=5.8%
Since the size of the sample is small.
We will use the student's t statistic to construct a 995 confidence interval.

From the t-table with 9 degree of freedom for 


The 99% confidence interval is given by,




 
        
             
        
        
        
Answer:
 cubic units
 cubic units
Step-by-step explanation:
Volume of the square pyramid is given as ⅓*area of base*height of pyramid.
Where,
Area of base = 6*6 = 36 
Height of pyramid = altitude =  units
 units
Plug the values into the formula to find volume.


 cubic units
 cubic units 
 
        
             
        
        
        
<em>Hi there!</em>
<em>~</em>
<em>If my logic doesn't fail me here, we have a total of 290 + 145 + 4 = 439 total 6s.</em>
<em>Hope this helped you!</em>
 
        
             
        
        
        
Answer:
A for first one and C 
Step-by-step explanation: