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KATRIN_1 [288]
2 years ago
8

Can someone help me with this? Thank you!

Mathematics
1 answer:
loris [4]2 years ago
8 0

Answer:

10.

Step-by-step explanation:

As the 2 Figures are similar the correspond sides are in the same ratio.

We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.

Perimeter of EFGH , therefore, is

2.5 + 2 + 4 + 1.5

= 10.

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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
Find n. 8/12 = n/48. n = ?
Novosadov [1.4K]

Answer:

n = 32

Step-by-step explanation:

<u><em>Given:</em></u>

<u><em></em></u>\frac{8}{12}=\frac{n}{48}

<u><em>Solve:</em></u>

<em />\mathrm{Cross\; Multiply:}

<em />\frac{8}{12}=\frac{n}{48}

\mathrm{48\times8=384}

\mathrm{384\div12=32}

\mathrm{Hence,n=32}

~\mathrm{[Kavinsky]}

7 0
2 years ago
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LuckyWell [14K]

Answer:

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Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

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What is 13 divided by 1/4?<br> Explain how you got your answer.
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Answer:

52

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