Answer:
1.76% probability that in one hour more than 5 clients arrive
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 time interval.
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.
This means that 
What is the probability that in one hour more than 5 clients arrive
Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

We want P(X > 5). So

In which










1.76% probability that in one hour more than 5 clients arrive
For June:
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater
Think about the definition of a function. what has to be true? leave a message if you need more help.
Answer:
x = 21
Step-by-step explanation:
the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus
5x - 35 = 3x + 7 ( subtract 3x from both sides )
2x - 35 = 7 ( add 35 to both sides )
2x = 42 ( divide both sides by 2 )
x = 21