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Mathematics

2 answers:

Andrews [41]3 years ago

8 0

Just solve each on and add together

miskamm [114]3 years ago

6 0

Answer :
x = 12

Step-by- step explanation :

Sum of all the sides in a triangle = 180
50+ 7x -17 + 5x +3 = 180
12x + 36 = 180
12x = 180 -36
12x =144
x = 144/12
x = 12

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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

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

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

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

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

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