Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where
is the mean of the distribution.
As per given , we have
Average tread-life of a certain brand of tire : 
Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Answer:
2,340,208.5 or 2,340,209
Step-by-step explanation:
You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times. But that would take a while.
we got 1.05 because the formula says that y = a( 1 + r ) power t
for a we will give it 1
so y = 1 ( 1 + 0.05) power t
it will give us 1.05
to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.
So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209
p -> q is represented as "If you have a library card, then you can check out books"
~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.
q -> p is represented as "If you can check out books, then you have a library card" This is the converse
~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse
p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.
Answer:
slope intercept form: y=1/2(x)+7
Step-by-step explanation:
slope intercept form is written as y=mx+b
on a graph, the equation y=8y-4x=56 goes through the "x" axis at point (-14,0) and the goes through the "y" axis at point (0,7)