The planes will pass each other in 1.14 hours.
Why?
To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.
The speed will be:

Now, calculating the time, we have:

Hence, the planes will pass each other in 1.14 hours.
Have a nice day!
Answer:
1/3 is the y-intercept of the function
Answer: AB=85
Step-by-step explanation:
So,
In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.
LCM of 8 and 7: 56
Multiply each fraction by the appropriate form of 1:


We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.
The correct option is B.
Answer:
0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Assume that the mean number of births per day at this hospital is 13.4224.
This means that 
Find the probability that in a day, there will be at least 1 birth.
This is:

In which
Then

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.