If you’re saying that 3 pieces costs 2.00 then the answer is 30. 2x10 is the $20.00 so 3x10 = 30 she can buy
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
Answer:
0.63
Step-by-step explanation:
To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.
Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22
The formula we will use to calculate the relative frequency will be
The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students
22 ÷ 35 = 0.628 ≅ 0.63
So 25.6 + 16.2 + 25.6 + 36.5 + 16.2 + 37.8 = 1961.48
I would say the second statement would best describe her work, because it is giving the most detail out of those statements.
Hope this helps!
~Jarvis
