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Minchanka [31]
3 years ago
5

The sum of three consecutive odd integers 171

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0
55,57,59 
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59
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Step-by-step explanation:

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(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

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2x + 3x - 10 = 90, simplifying

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(6)

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7 0
2 years ago
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

\large P(X>t) = e^{-t/10}

a)  

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\large P(X>60)=e^{-6}=0.0025

b)

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

\large P(X\leq 10)=1-e^{-6}=0.9975

c)

We want x so that

P(X>x)=0.1

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d)

We want P(X<x)=0.9

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4 0
3 years ago
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