Answer:
1/3.
Step-by-step explanation:
Prob(Drawing white marble) = 2/3
Prob(Drawing a black marble on second draw ) = 1/2
So:
Prob(Drawing a white then a red marble) = 2/3 * 1/2
= 2/6
= 1/3.
Answer: C
Step-by-step explanation:
When you are finding the area, the formula is A= Pi R^2.
The radius is half of the diameter. To get a diameter of 6, you have to multiply 3 by 2.
I want to say either rectangular prisim or triangle pyrimad
Answer:
what boxes? XD need a link to da picture UWU
Step-by-step explanation:
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>