Answer: The correct statements are
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
David applied the distributive property.
Step-by-step explanation:
GCF = Greatest common factor
1) GCF of coefficients : (80,32,48)
80 = 2 × 2 × 2 × 2 × 5
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF of coefficients : (80,32,48) is 16.
2) GCF of variables :(
)
= b × b × b × b
= b × b
=b × b × b × b
GCF of variables :() is
3) GCF of 
and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.
4) 
David applied the distributive property.
Answer: 0.5263
Step-by-step explanation:
Given : The completion times for a job task range from 11.8 minutes to 19.4 minutes .
The density function for uniform distribution function for interval [a,b] :-
Then the density function for the given situation:-
The required interval : 
Now, the probability that it will require between 12.8 and 16.8 minutes to perform the task will be :-
Answer: 0.65
Step-by-step explanation:
Let A denote that moviegoers were female and B denotes that moviegoers were under age 25.
As per given we have,
P(A)=0.56 P(B)=0.26 P(A∩B)=0.17
Using formula ,
Hence, the probability that a moviegoer is either female or under age 25 = 0.65
For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
1.) Carbon Compounds are the backbone of all organic compounds that are the basic building blocks of all living things.
2.) The diamond allotropic form of carbon is the hardest substance known.
3.) Carbon has the ability to form covalent bonds with other carbon atoms forming continuous chains, branches, and loops
