Its the additive identity prosulate
<span>given:
bull's eye radius= x
width of surrounding rings=y
solution:
Radius of the circle=x+4y
Area of the outermost ring=Area of the circle-Area of the penultimate ring
=Ď€(x+4y)^2-Ď€(x+3y)^2
=Ď€(x^2+8xy+16y^2-x^2-9y^2-6xy)
=Ď€(2xy+7y^2)
hence the area of the outermost ring in terms of x and y is π(2xy+7y^2).</span>
Answer:
a

b

Step-by-step explanation:
Considering question a
From the question we are told that
The mean is 
The standard deviation is 
The standard error of mean is mathematically represented as

=>
=> 
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -0.3425 is

=> 
Considering question a
From the question we are told that
The mean is 
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -1.0274 is

=> 