Answer:
volume of hexagonal prism = area of base * perpendicular height 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
36 liters
Step-by-step explanation:
We solve this question using the least common multiple method
Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.
Multiples of 9:
9, 18, 27, 36, 45, 54
Multiples of 12:
12, 24, 36, 48, 60
Therefore,
LCM(9, 12) = 36
Hence, the smallest amount of each paint color the store must have sold is 36 liters
 
        
             
        
        
        
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140



 has a pvalue of 0.9772
 has a pvalue of 0.9772
X = 125



 has a pvalue of 0.8413
 has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
 
        
             
        
        
        
Answer:
(x-1)^5 (x+1)
Step-by-step explanation:
2 (x-1)^5 + (x-1)^6
Factor out (x-1)^5
2 (x-1)^5 + (x-1)^5 (x-1)
(x-1)^5( 2 + x-1)
Combine like terms
(x-1)^5 (x+1)
 
        
                    
             
        
        
        
Answer:
around 4.1
Step-by-step explanation: