Answer: 0.07 (choice B)
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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
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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
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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
Shannon will get there first. This is because 16.299 is less than 16.92. When looking at decimals, the first number at the decimal is most important.
There you go and sorry if it’s not that clear:
Answer:
there was a decrease of 24 degrees.
Step-by-step explanation:
7-24=-17
Answer:
y=-1/2x-5
Step-by-step explanation:
Well we know that the slope is -1/2 so we can write the equation like this:
y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)
Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3
-3=-1/2(-4)+b
-3=2+b
Subtract 2 on both side:
-2-3=2-2+b
-5=b
Answer:
y=-1/2x-5
Hope this helps!
