Answer:
The ac product of 
is <u>420</u>.
The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.
Step-by-step explanation:
1) The general form of a quadratic is 
. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write 
as a sum.
Now, we can factor them out by grouping.
Since, 
is common in both of the factors, we only take one of the 
along with 
and 
.
Answer:
:)))))))))))))))))) boring
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Answer:
a) 
b) 
c) 
Step-by-step explanation:
If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value 
Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"
Solution to the problem
Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:
Part a
For this uniform distribution the expected value is given by 
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:
Part b
For this case we can use the cumulative distribution function for the uniform distribution given by:
And we want this probability:Part c
For this case we want this probability:
