Answer:
61
Step-by-step explanation:
4 × (8 + 5) + 9
Parentheses first
4 × (13) + 9
Then multiply
52 +9
Then add
61
Answer:
Case(a): ![p[b]=\frac{1}{3}p[a]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B3%7Dp%5Ba%5D)
Case(b): ![p[b]=0](https://tex.z-dn.net/?f=p%5Bb%5D%3D0)
Case(c): ![p[b]=\frac{1}{2}p[a\cap b]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B2%7Dp%5Ba%5Ccap%20b%5D)
Step-by-step explanation:
Given
(a) events a and b are a partition and p[a] = 3p[b].
(b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.
(c) for events a and b, p[a ∪ b] = p[a]− p[b].
we have to find the p[b] in each case:
Case (a): events a and b are a partition and p[a] = 3p[b].
gives ![p[b]=\frac{1}{3}p[a]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B3%7Dp%5Ba%5D)
Case (b): for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.
⇒
⇒
∵ p[a ∩ b] = 0.
Case(3): for events a and b, p[a ∪ b] = p[a]− p[b].
p[a ∪ b] = p[a]− p[b]
⇒ ![p[a]+p[b]-p[a\cap b]=p[a]-p[b]](https://tex.z-dn.net/?f=p%5Ba%5D%2Bp%5Bb%5D-p%5Ba%5Ccap%20b%5D%3Dp%5Ba%5D-p%5Bb%5D)
⇒ ![2p[b]=p[a\cap b]](https://tex.z-dn.net/?f=2p%5Bb%5D%3Dp%5Ba%5Ccap%20b%5D)
⇒ ![p[b]=\frac{1}{2}p[a\cap b]](https://tex.z-dn.net/?f=p%5Bb%5D%3D%5Cfrac%7B1%7D%7B2%7Dp%5Ba%5Ccap%20b%5D)
Answer:
1 ton = 1000 kg
So, 17 ton = 17 × 1000
= 17000 kg
17000 + 200 kg = 17200 kg

30 x 2 = 60 min running
30 - 10= 20 min biking
30+60+20=110 min, or an hour and 50 minutes
Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 4.795 cm/minute
<em><u>Solution:</u></em>
Given that,
Total distance = 189 cm
They crawl towards each other at rates that differ by 1 cm a minute
Let the speed of snail 1 be "x"
Let the speed of snail 2 be "x + 1"
Total time = 22 minutes
Since the snails are moving towards each other,
Speed = x + x + 1 = 2x + 1
<em><u>How fast is each snail crawling?</u></em>

Thus,
Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 3.795 + 1 = 4.795 cm/minute