A container in the shape of a rectangular prism has a base that measures 20 cm by 30 cm and has a height of 15 centimeters. The
container is partially filled with water a student adds more water to the container and notes of the water level rises to 2.5 centimeters what is the volume of the added water
1 answer:
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We assume the annual percentage increase is the same. We will work out the constant k using the formula
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula
Take log both sides give
We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)
≈79 million
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula
Take log both sides give
We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)
Answer:
1)
2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66
Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76
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
is the Euler number
is the mean in the given time interval.
Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.
Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So .
P(X = 8)
P(X = 9)
Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?
There is a 10.33 probability that 8 customers would use the drive through for each restaurant.
So of 200, the expected number is
There is a 6.88 probability that 9 customers would use the drive through for each restaurant.
So of 200, the expected number is