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kirza4 [7]
2 years ago
9

Find the small positive integer solution that solves the equation. if there is no solution, type NONE.

Mathematics
1 answer:
Degger [83]2 years ago
7 0

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

  x = 7

__

The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

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If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

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3 years ago
What does this quote mean to you
ipn [44]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Jenny made five loaves of banana bread that had 1/4 cup of oil in each loaf. After she was done baking, she had 5/8 cup of oil r
-Dominant- [34]
The answer is 1 - 5/8
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7 0
3 years ago
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Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​
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Answer:

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Step-by-step explanation:

<u>Given recursive formula</u>

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<u>The first 5 terms are:</u>

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3 years ago
A family buys 5 airline tickets and travel insurance that costs $17 per ticket. The total cost is $850. Let x represent the pric
otez555 [7]

Answer:

850+5(x+17) (D)

153

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3 years ago
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