Answer:
Step-by-step explanation:
<u>Step 1: Set x to 4 and set y to -5</u>
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Answer:
3x+2=32 and x=10 just if you're wondering.
Mr. Lewis | 100$
Glue = 1.50$ (x40)
Box = 0.89$ (x40)
1.50 x 40 = 60$
0.89 x 40 = 35,6$
Total spend (95,6$)
100 - 95,6 = 4,4$
Answer: 4,4$
1420-1065 = 355 dollars. Lets find out how many percent 355 dollars are of the original prise. We divide them 355/1420= 0,25, we then say 0,25 * 100 = 25%
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>.