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3 years ago

Penelope is skating at the ice rink. She travels 50 meters in 25 seconds.

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

Answer:

Penelope travels 2 meters per second

Step-by-step explanation:

50/25 = ?/1

25 divided by 25= 1

(Whatever is done on the bottom is done on the top/ viceversa)

50 divided by 25 is 2

Hope this helps :)

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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

Hi can you help me with this problem i dont understand it

Romashka-Z-Leto [24]

Answer:

Answer is d - x = $\frac{y + z}{4}$

Step-by-step explanation:

Step 1: Add 'z' to both sides

4x -z (+z) = y + z

4x = y + z

Step 2: To solve for x, divide both sides by 4

$\frac{4x}{4}$ = $\frac{y + z}{4}$

x = $\frac{y + z}{4}$

5 0

3 years ago

0.25 l of milk every day.how much milk does he drink in 5 days?

tino4ka555 [31]

Answer:

1.25

Step-by-step explanation:

.25 x 5 = 1.25

pls mark brainliest!!

8 0

3 years ago

Read 2 more answers

356 I want the greatest odd number by using these num

kari74 [83]

Answer:

Step-by-step explanation:

We cant make greatest odd num by adding these numbers but:

3 0

3 years ago

What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3,

saw5 [17]

Answer:

Step-by-step explanation:

Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.

Mathematically,

$y-2=3(x-3)$ and

$y-2=3x=9$ and

$y=3x-9+2$ so

y = 3x - 7 (the second choice)

8 0

3 years ago