Answer:
√69 is 8.30 and √72 is 8.48.
The one after N should be 8.50.
So really it should be N, not M, im sorry. Because M is 8.20
So its N
Step-by-step explanation:
I hope this helps :)
Answer:
n=42
Step-by-step explanation:
n/6-2=5
n/6=7
n=42
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
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>.
