Answer:
-1
Step-by-step explanation:
<3 i hope it helped if it didnt its doesnt matter
To find the answer, take the measurement of an edge of the cube, multiply it by 6, and then square that number.
Ex:
Edge = 16
Faces in 1 cube = 6
6 * 16 = 96
96^2 (which is just 96 * 96)= 9,216
I hope this helps! :)
Answer:
The test statistic Z = 3.125
Step-by-step explanation:
<em>Given Population proportion P = 0.25</em>
<em>Given sample size 'n' = 696</em>
<em>Sample proportion 'p⁻' = 0.30</em>
Test statistic
<u><em>Final answer</em></u>:-
The test statistic Z = 3.125
The probability would be 1/2
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>.
