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qwelly [4]
3 years ago
5

How do solve an equation?

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0
You simplify both sides and isolate the variable.
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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)  

1 hour = 60 minutes, so the probability that you wait longer than one hour is

\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

\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes

d)

We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

4 0
3 years ago
Justin is 2 years older
german
Answer:
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Explanation:
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2 years ago
The hypotenuse is the side across from the right angle, and it's also the longest side of the triangle.
nalin [4]
Yes You are correct. 
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Jesse used of a can of broth in his recipe. Maddy used of a same-sized can of broth in her recipe. Which statement is true? A. J
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It c they both used the same amount of broth
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Korie randomly selects a number from the numbers shown below. 54, 60, 11, 0, 5, 7, 20 What is the probability that the number sh
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there is a greater chance that she selects a even number because there are 4 even numbers and 3 odd numbers

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