In order to find the circumference, we first need to find the radius. We have the area, so we can find the radius. We set up this equation:

We begin by dividing both sides by pi.
483.76 =

Next, we take the square root of both sides to get the radius.
r = 22.
Next, we plug this into the formula for the circumference, 2 pi r

So, the circumference of this circle is 138.23 units.
Answer:
<em>74.7°F</em>
Step-by-step explanation:
You need to add 184.2°F to -109.5°F.
184.2°F + (-109.5°F) =
= 184.2°F - 109.5°F
= 74.7°F
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<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:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:


Item b:
1 hour, hence the mean is given by:

The probability is P(X = 0), hence:


Item c:
The probability is:

More can be learned about the Poisson distribution at brainly.com/question/13971530
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Answer:
3
Step-by-step explanation:
The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are
boxes in total.
The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh
kilograms.
When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

Hence, the driver must deliver at least 3 boxes at the first shop.