The answer to this is 8 1/2.
Total surface area of a triangular prism = width x height +(sum of sides + width) x length
475 = (width x 10) + (5 + 5 + width) x 15
475 = (10 x width) + (10 + width) x 15
475 = (10 x width) + 150 + (15 x width)
475 - 150 = 25 x width
325 = 25 x width
width = 325/25 = 13 feet
Using the Poisson distribution, it is found that:
a) The mean is of 15.63.
b) The probability is of 0.0911 = 9.11%.
c) The probability is , which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes.
- e = 2.71828 is the Euler number.
- is the mean in the given interval.
Item a:
The mean is given by:
Item b:
The probability is P(X = 17), hence:
The probability is of 0.0911 = 9.11%.
Item c:
The probability is P(X = 0), hence:
The probability is , which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
More can be learned about the Poisson distribution at brainly.com/question/13971530
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Step-by-step explanation:
f(t) = 80 + 120 e^(-0.08 t)
The exponent is negative, so this is an example of exponential decay. As t increases, the exponent becomes more and more negative. So e^(-0.08 t) gets closer and closer to 0. Meaning f(t) gets closer and closer to 80.
Let us assume the total number of people surveyed be = 1500
People who own a dog = 925
People who also own a cat along with dog = 16
So, people who own only dog = 925-16 = 909
A.
The fraction of people who own both a dog and a cat are =
=
B.
Number of people who own a dog and not a cat are = 909
In fraction it will be