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lesantik [10]
3 years ago
6

Photo provided Help me asap plzzzz

Mathematics
2 answers:
const2013 [10]3 years ago
8 0

Answer: 0.07 (choice B)

===================================================

Explanation:

Let's define two events: B = hitting bullseye, and, T = hitting the third (outermost) ring

To figure out the probabilities of each event happening, we need to find the areas of each region. The bullseye is a circle with radius 6 inches (half of diameter 12), so the area is roughly...

A = pi*r^2 = pi*6^2 = 36pi

The radius of the outermost circle is 6+5+5 = 16 inches, leading to an area of

A = pi*r^2 = pi*16^2 = 256pi

So P(B) = (36pi)/(256pi) = 9/64 is the probability of hitting bullseye

-----------------

The area of the third ring is equal to the difference of the overall largest circle and the second largest circle.

The second largest circle has a radius of 6+5 = 11 inches with area pi*11^2 = 121pi square inches

So the third ring has an area of 256pi - 121pi = 135pi square inches

P(T) = probability of hitting the third ring

P(T) = (135pi)/(256pi)

P(T) = 135/256

-----------------

The last thing to do is to multiply the two probabilities P(B) and P(T). This works because the two events B and T are independent

P(B and T) = P(B)*P(T)

P(B and T) = (9/64)*(135/256)

P(B and T) = 0.07415771484376

P(B and T) = 0.07

docker41 [41]3 years ago
8 0
I think is B but I'm not pretty sure about that
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