Answer:
The answer to this question is 2.137931034
Step-by-step explanation:
Just divide it by a calculator.
To solve this, do 8 division 6, the answer should be 1.3333...
if you convert that to a fraction, it should be 1 1/3
Answer:
37.5%
Step-by-step explanation:
72-45=27
27/72=x/100
2700/72=x
x=37.5
37.5%
Answer:
Ali's salary is $50000.
Step-by-step explanation:
Let Jafar's salary be x.
(31/100)*x = 12400
x = (12400*100)/31
x = 400*100
x = $40000
Let Ali's salary be y.
y-[(20/100)*y] = 40000
y-(y/5) = 40000
(5y-y)/5 = 40000
4y = 200000
y = $50000
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>
where <span><span>F(t)=1−<span>e<span>−t(<span>λ1</span>+<span>λ2</span>)</span></span></span><span>F(t)=1−<span>e<span>−t(<span>λ1</span>+<span>λ2</span>)</span></span></span></span>.
