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3 years ago

Find the value of x if A, B, and C are collinear points and B is between A and C.

1 answer:

4 0

By segment addition rule AB + BC = AC
3x + 2x - 7 = 2x + 35
3x = 42
x = 1 4
CHECK
3(14) = 42
2(14)-7= 21
-------------------
2(14)+ 35= 63

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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

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

We want x so that

P(X>x)=0.1

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

We want P(X<x)=0.9

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

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3 years ago

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

snow_lady [41]

Answer:

The average rate of speed is 61!

Step-by-step explanation:

183 miles divided by 3 hours of driving is 61 average rate of speed. :)

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elixir [45]

Answer:

x=17

Step-by-step explanation

4x+4=72

-4 -4

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x= 17

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Mars2501 [29]

Answer:

m=5 , a=3 x= 3 you get that by looking at the other numbers that they provided.

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3 years ago

PLZZ help ZOOM IN THE SEE IT CLEAR easy math problem

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Answer:

$\large\boxed{\sqrt{16}}$

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