With 
defined by
in order for it to be continuous at 
, we require
(i) If 
and 
, then 
and
The limits don't match, so is not continuous at 
under these conditions.
(ii) To establish continuity at , we'd need the limit as 
from the right to be equal to the limit from the left, or
(iii) We have 
and
For to be continuous at 
, then, we'd need to have
(iv) Taking both requirements from parts (ii) and (iii), we solve for 
:
I've attached a plot that confirms this is correct.
Answer:
he travels 65 miles every hour because 130÷ 2= 65
B is the right answer o think
when coin is flipped 5 times probability is 1/2
so coin heads comes out to be 2.5
This is a binomial distribution with a probability of success = 0.5 (fair coin).
n=10
so
mean = E[x] = np =10*0.5 =5
X^2 - 25 is a difference of squares which has a special factorization.
In general, a^2 - b^2 = (a + b)(a - b)
x^2 - 25 = 0
(x + 5)(x - 5) = 0
x + 5 = 0 or x - 5 = 0
x = -5 or x = 5
