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natima [27]
3 years ago
14

What are the differences and similarities between the Pythagorean Theorem and the Distance Formula? Which method do you think mi

ght be more useful in solving most problems?
Mathematics
1 answer:
Julli [10]3 years ago
5 0
I personally would use the Pythagorean theorem over distance because it is a lot simpler  
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disa [49]

Answer:

d = 3

Step-by-step explanation:

6*3=18
2d*6=12d
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36/12 = 12d/12
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Where is the head-quarter of Microsoft Corporation?
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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
Solve and type in 'ab' 8×a=32,a+26=b+1,a&lt;20&lt;b
Whitepunk [10]
8*a=32
32:8=a
4=a

4+26=b

30=b

3 0
4 years ago
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