Answer:
15
Step-by-step explanation:
Scale Factor = 3
Using Formula:
Scale Factor = LengthOfDilatedTraingle/LengthOfActualTriangle
Scale Factor = B'C'/B'C'
B'C' = 3 * 5
B'C' = 15
No, the probability of getting a 5 is 1/6, but you could roll any number of fives in a row. It is just as likely to get rolled the second time as it was the first.
Answer:

And we can find this probability to find the answer:

And using the normal standar table or excel we got:

Step-by-step explanation:
Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:
Where
and
We have the following info from a sample of n =37:
the sample mean
And we want to find the following probability:

And we can use the z score formula given by;

And if we find the z score for the value of 0.872 we got:

And we can find this probability to find the answer:

And using the normal standar table or excel we got:

Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) 
When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.
In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

b) 
What are the common terms here?
It can be seen that each of these share a 2x, so our factored form would be

c) 
What about this one?
The common factor of this one is 5x, so our factored form would be

d) 
The common factor of this one is
, so our factored form would be
