By connecting the distances traveled by the jet and the distance between them, we form a right triangle with hypotenuse equal to the unknown distance.
Using the Pythagorean,
h² = a² + b²
Substituting,
h² = (108 mi)² + (214 mi)²
h = 239.71 miles
Thus, the distance between them is approximately 239.71 miles.
Answer:
1. 0.0000454
2. 0.01034
3. 0.0821
4. 0.918
Step-by-step explanation:
Let X be the random variable denoting the number of passengers arriving in a minute. Since the mean arrival rate is given to be 10,

1. Requires us to compute

2. We need to compute 




3. The expected no. of arrivals in a 15 second period is =
. So if Y be the random variable denoting number of passengers arriving in 15 seconds,


4. Here we use the fact that Y can take values
. So, the event that "Y is either 0 or
1" is a sure event ( i.e it has probability 1 ).

To solve this, you need to plug in the numbers for <em>h</em>.
-4(-12) ≥ 8 48 ≥ 8 yes
-4(-7) ≥ 8 28 ≥ 8 yes
-4(-5) ≥ 8 20 ≥ 8 yes
-4(-3) ≥ 8 12 ≥ 8 yes
-4(-2) ≥ 8 8 ≥ 8 yes
-4(-1) ≥ 8 4 ≥ 8 no
-4(1) ≥ 8 -4 ≥ 8 no
-4(3) ≥ 8 -12 ≥ 8 no
-4(8) ≥ 8 -32 ≥ 8 no
Hope this helped!
Answer:
5,435,820,000 is your answer
It would be smaller because 11/12 = 22/24