=30x-40
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
Given
The total no of beads is 52
there 13-red,13-blue,13-green, and 13-black
favorable outcomes to select a blue bead is 13
Total outcomes are 52
Probability is given by
A) l = w + 900
B) l * w = 4,000,000
B) l = 4,000,000 / w putting this into A)
A) 4,000,000 / w = w + 900
A) 4,000,000 = w^2 +900 w
A) w^2 +900 w - 4,000,000
Solving by quadratic formula
width = 1,600 length = 2,500
Double-Check
1,600 * 2,500 = 4,000,000
Length = width + 900
2,500 = 1,600 + 900
Answer is okay
40
Using the method of prime factors
8 = 2 × 2 × 2 = 2³
2 = 2
5 = 5
Then LCM = 2³ × 5 = 8 × 5 = 40
If A and B are independent, then .
a.
b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:
c. DeMorgan's law can be used here too: