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Anna11 [10]
2 years ago
10

Which ordered pair is a solution to the equation y= 6x - 2?

Mathematics
1 answer:
Dmitry [639]2 years ago
4 0

Answer:

  • (5, 28)

Step-by-step explanation:

  • y= 6x - 2

Verifying pairs:

(1,0)

  • 0 = 6*1 - 2
  • 0 = 4 - incorrect

(5, 28)

  • 28 = 6*5 - 2
  • 28 = 30 -2
  • 28 = 28 - correct

(6, 20)

  • 20 = 6*6 - 2
  • 20 = 36 - 2
  • 20 = 34 - incorrect

(3, 19)

  • 19 = 6*3 - 2
  • 19 = 18 - 2
  • 19 = 16 - incorrect
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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
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Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26

Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100

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I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.

Hope this helps!

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2 years ago
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Answer:

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Step-by-step explanation:

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