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
Answer:
Where are the graphs at
Step-by-step explanation:
cant explain without graphs
Answer:
294
Step-by-step explanation:
The area of one face of the cube would be 7 x 7 = 49
Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = 
Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
Answer:
54
Step-by-step explanation:
