Answer:
For x = 3 then
Step-by-step explanation:
First we must consider the <em>“memoryless”</em> or <em>“forgetfulness”</em> property of the exponential distribution, which means that the likelihood of something happening in the future has no relation with past events.
Taking the above statement into account we have that the probability that T lasts more than a+b hours given that an event has lasted at least “a” hours equals the probability that T lasts more than “b” hours:
For our case we have:
To make calculations easier we resolve using the Exponential cumulative distribution, therefore:
Now, if x = 3 then,
So, we can say that the probability that our friend waits at least 3 hours for the alarm to ring is 36.8%
Answer:
Then the answer to the system is the point (-1, 3)
which corresponds to x = -1 and y = 3
Step-by-step explanation:
Start by dividing the first equation by 3 on both sides, and get:
x + y = 2
now multiply it by 5 in order to be able to eliminate the term in y in the combining of both equations:
5 x + 5 y = 10
+
9 x - 5 y = - 24
___________
14 x + 0 = -14
solve for x by dividing both sides by 14:
x = -14/14 = -1
Use the x = -1 answer in the equation 3 x + 3 y = 6 and solve for y:
-3 + 3 y = 6
add 3 on both sides:
3 y = 9
divide both sides by 3 to isolate y:
y = 3
Then the answer to the system is the point on the plane (-1, 3)
which corresponds to x = -1 and y = 3
Answer:
The Axis of symmetry shows the highest point on the line and is a vertical line at the highest point on the graph x=1.5, y=36
Step-by-step explanation:
checked on a graphing calculator