Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
Answer:
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
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.
A service center receives an average of 0.6 customer complaints per hour.
This means that
, in which h is the number of hours.
Determine the probability that exactly four complaints will be received during the next eight hours.
8 hours means that
.
The probability is P(X = 4).


0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
5.01 is greater
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I believe that they typo meant 300 fossils of which 21% are snail shells.
Since % means per one hundred...
300(21/100)=63
Elmer has 63 fossilized snail shells.
Answer:
The approximate area is A) 5.09cm²
Step-by-step explanation:
Area of a Circle = πr²
r = 1.8
Plug in our values
π(1.8cm²)
Evaluate the area of the entire circle
a = π(1.8cm²)
a = π(3.24cm)
a = 10.179cm²
Area of a sector, with the area of the circle of the sector being a = theta/360 * a
Evaluate the area of the sector
180/360*10.719cm²
0.5 * 10.179cm²
5.0895cm²
Round the value up
5.09cm²