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mariarad [96]
3 years ago
15

At the zoo you see 16 animals (ducks and pigs). There are a total of 52 animal feet on the ground. How many ducks are there? How

many pigs are there?
Write a system of linear equations that represent this situation.
Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

Answer:

Step-by-step explanation:

P = pigs D = ducks

P + D = 17

P = 17 – D

4P + 2D = 50 because pigs have 4 feet

and ducks have 2 feet.

4(17 – D) + 2D = 50

68 – 4D + 2D = 50

.68 – 2D = 50

–2D = –18

D = 9

P = 17 – D

P = 17 – 9

9 = 17 – D

D = 8

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Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is
Rzqust [24]

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P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable of interest:

X \sim Exp(\lambda=\frac{1}{2.725})

Solution to the problem

We want to calculate this probability:

P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

8 0
3 years ago
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