Exponential eqation solution
<em>Y</em>₁ and <em>Y</em>₂ are independent, so their joint density is

By definition of conditional probability,
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)
Use the joint density to compute the component probabilities:
• numerator:






• denominator:

(I leave the details of the second integral to you)
Then you should end up with
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = (1/6) / (2/3) = 1/4
Answer:
y=2/-1+8
Step-by-step explanation:
- -4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
- formula is, y2-y1/x2-x1
- 8-0/0-4=8/-4=4/-2= 2/-1
- 2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
- (0,8), 0=x1 8=y1
- formula is y-y1=m(x-x1)
- y-8=2/-1(x-0) ---->distribute
- y-8=2/-1x-0 --->get y alone
+8 +8
- so the answer is y=2/-1+8
Answer:
5 batteries.
Explanation:
"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4
Answer:
x=20
Step-by-step explanation:
Well just cross multiply if its easier
x(3)=3x
12*5=60
60=3x
x=20