Answer:
-7j +3
Step-by-step explanation:
-5j -2j +3
-7j +3
like terms are combined. combine the js
Answer:
x=2 2/3
Step-by-step explanation:
The equation also means that x=8^3
8/3=2 2/3
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>.
Answer:
1/3
Steps:
The line rose 10 values (up) and went 30 values higher (to the right), so you divide 10/30 and end up with 1/3
Step-by-step explanation:
Given that for a safe drive the pressure of the car should be between 20 and 30 psi. This implies that the pressure in the tires should strictly be between 20 and 30, hence given that the x is the pressure value then the absolute value inequality will be:
20≤ΙxΙ≤30
