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JulsSmile [24]
3 years ago
9

If a twelve hour clock is set at the correct time on the afternoon of may 17 if the clock loses 6 minutes per day what is the ne

xt calendar day on which it will show the correct time
Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

Solution:

12 hours = 12 * 60 minutes = 720 minutes

Number of days lose = \frac{720}{6} = 120 days

So, 17th May + 120 days = 14th Sep.

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zzz [600]
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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
What is the solution to x 4 + 4x 3 ≤ 12x 2?
andriy [413]

Answer:

-6,2

Step-by-step explanation:

im not sure what the answer is

4 0
3 years ago
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Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities ar
seropon [69]
The answer would be 1.0067
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3 years ago
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