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k0ka [10]
3 years ago
12

D. (1/2)n +7 = (n+14)/2

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

n=-14

Step-by-step explanation:

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Every day, a comes to the bus stop at the same time, and boards the first bus that arrives. the arrival of the first bus is an e
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So the waiting time for a bus has density f(t)=λe−λtf(t)=λe−λt, where λλ is the rate. To understand the rate, you know that f(t)dtf(t)dt is a probability, so λλ has units of 1/[t]1/[t]. Thus if your bus arrives rr times per hour, the rate would be λ=rλ=r. Since the expectation of an exponential distribution is 1/λ1/λ, the higher your rate, the quicker you'll see a bus, which makes sense.

So define <span><span>X=min(<span>B1</span>,<span>B2</span>)</span><span>X=min(<span>B1</span>,<span>B2</span>)</span></span>, where <span><span>B1</span><span>B1</span></span> is exponential with rate <span>33</span> and <span><span>B2</span><span>B2</span></span> has rate <span>44</span>. It's easy to show the minimum of two independent exponentials is another exponential with rate <span><span><span>λ1</span>+<span>λ2</span></span><span><span>λ1</span>+<span>λ2</span></span></span>. So you want:

<span><span>P(X>20 minutes)=P(X>1/3)=1−F(1/3),</span><span>P(X>20 minutes)=P(X>1/3)=1−F(1/3),</span></span>

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8 0
3 years ago
Find the area of the trapezoid with bases 8 cm and 4 cm and a height of 1/4 cm. (Simplify your answer)
Simora [160]

Answer:

1 1/2 or 1.5

Step-by-step explanation:

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bases: 8 + 4 = 12

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4 0
2 years ago
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