Step-by-step explanation:
Let x be the number of designer T shirts.
To break even,
Total Cost = Total Sales
Fixed Cost + Variable Cost = Total Sales
given the promotional advertising is classified under fixed cost,
Answer:
<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Population mean = 72
Standard deviation = 10
Sample₁ = 4
Sample₂ = 25
2. For finding the standard error of the mean, we use the following formula:
Standard error = Standard deviation / √Size of the sample
Standard error for Sample₁ = 10/√4
<u>Standard error for Sample₁ = 10/2 = 5</u>
Now, let's find the standard error for Sample₂
Standard error for Sample₂ = 10/√25
<u>Standard error for Sample₂ = 10/5 = 2</u>
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
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
