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Zina [86]
3 years ago
14

Twenty seven minus 3/2 of a nuber x is not more than 36. What is the number?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

Step-by-step explanation:

27 - 1.5x ≤ 36

54 - 3x ≤ 72

54 - 72 ≤3x

-18 ≤ 3x

-6 ≤ x

x ≥ -6

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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

5 0
3 years ago
A triangle has an angle that measures 115°. The other two angles are in a ratio of 3:10. What are the measures of those two angl
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Answer: 15º and 50º


Explanation:

The angles in a triangle add up to 180.


180 - 115 = 65

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3x = 15

10x = 50


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3 years ago
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0.0166 because it’s bigger than all other numbers
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Answer:

N and P

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