Answer:
 6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8 
Step-by-step explanation:
We need to subtract the given polynomial from the sum:-
8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^4 + 8cd^4 +1 )
We need to distribute the negative over the parentheses:-
= 8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - 2d^5 + c^3d^4 - 8cd^4 -1 
Bringing like terms together:
= 8d^5 - 2d^5 - 3c^3d^2 + 5c^2d^3  + c^3d^4 - 4cd^4 - 8cd^4 + 9  
- 1
Simplifying like terms
=  6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8   
 
        
             
        
        
        
To convert the number to one that is 1 or greater and less than 10 we must multiply by 10,000. Therefore the converted number is as follows:
 
        
             
        
        
        
Answer:
0.0764
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
 and standard deviation 
, 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 problem, we have that:

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
This is the pvalue of Z when X = 32. So



 has a pvalue of 0.0764, which is the correct answr
 
        
             
        
        
        
Answer:
53.2 mph
Step-by-step explanation:
Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m. 
1:40 p.m. is 13:40.
Thus, they traveled for
13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes 
that is 
 hours.
Use formula:

where 
D = distance
r = rate
t = time.
In your case,
D = 239.4 miles
t = 4.5 hours
Hence,

 
        
                    
             
        
        
        
The equation for the area of a triangle is 1/2 x base x height.
Plug in the values that you already have with h being the missing height value:
30= 1/2 x 12 x h
Simplify:
30=6h
Solve:
30/6=h
5=h
The heoght of the triangle is 5 units