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2 years ago

Test for origin symmetry: y=x/(x^2+1)

Mathematics

1 answer:

Korolek [52]2 years ago

6 0

$y=\dfrac{x}{x^2+1}\\\\ -y=-\dfrac{-x}{(-x)^2+1}\\ -y=\dfrac{x}{x^2+1}\\ y=-\dfrac{x}{x^2+1}$

$-\dfrac{x}{x^2+1}\not =\dfrac{x}{x^2+1}$ so it's not symmetrical about the origin.

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A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5

SSSSS [86.1K]

Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

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1 year ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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2 years ago

When q = 15, r = 4<br> Find q when r = 7

djyliett [7]

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

mark as brainliest

6 0

3 years ago

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The following table shows how far a runner has gone in t minutes. Which of the following represents this information?

BigorU [14]

Answer:

The correct answer is B) d=250t.

Step-by-step explanation:

B is the correct answer because the total distance (d) equals 250 multiplied by the minutes (t) the runner has ran.

7 0

2 years ago

Order of operation help I have 4 min left on my timer . NO LINKS

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Just In case you want explanation-

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11 minus 5 = 6

78 divided by 6

it gives you 13

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2 years ago

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