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Anvisha [2.4K]
3 years ago
12

Suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?

Mathematics
1 answer:
Elenna [48]3 years ago
6 0

By definition of conditional probability,

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18

Similarly,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6

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At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
3 years ago
P(x) = -2x – 2; Find p(-3)
irinina [24]
P(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4
5 0
2 years ago
Read 2 more answers
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aleksandr82 [10.1K]
Bro i don’t know either
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3 years ago
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is
laila [671]

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

3 0
3 years ago
I need help with this!
lisabon 2012 [21]

Answer:

angle j = 90

angle k = 29

angle L = 61

Step-by-step explanation:

180 = 90 + (4x-19) + (5x+1)

90 = 9x - 18

108 = 9x

x = 12

3 0
2 years ago
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