Learn more about our help with Assignments: Math
Search & Filtering
Write ∫0 to 1∫0 to √1-x^2(√1-y^2) Dy DX as an integral over a region D. Sketch the region D and show that it is of both types 1 and 2. Reverse the order of integration and evaluate it.
Find the values of the 30th and 90th percentiles of the data. Please show your work.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
Sandra ran 7/12 of a mile. Lamar ran 3/4 of a mile. Who ran farther? Explain.
A bakery bakes cakes the manageress does not know the cost of each cake. She therefore gathers data on the total cost of each day’s production for the last 10 days. The results are shown in the table below;
Day number of cakes (00 units) Total costs (SH 000)
1 22.5 23.0
2 21.0 21.6
3 27.5 23.3
4 21.5 24.0
5 30.0 28.2
6 20.0 22.4
7 24.0 23.1
8 26.5 25.3
9 18.3 20.1
19 17.0 16.5
Required
(1) estimate the total cost function using the ordinaryleast squres method . state the fixed cost and unit cost?
(2) If each cake is sold at SH 10 ,determine the breakeven number of cakes?
Day number of cakes (00 units) Total costs (SH 000)
1 22.5 23.0
2 21.0 21.6
3 27.5 23.3
4 21.5 24.0
5 30.0 28.2
6 20.0 22.4
7 24.0 23.1
8 26.5 25.3
9 18.3 20.1
19 17.0 16.5
Required
(1) estimate the total cost function using the ordinaryleast squres method . state the fixed cost and unit cost?
(2) If each cake is sold at SH 10 ,determine the breakeven number of cakes?
Solve the following LPP using two phase method
Max Z= 2x1+3x2+10x3
subject to x1+2x3=0
x2+x3=1
x1,x2,x3≥0
Max Z= 2x1+3x2+10x3
subject to x1+2x3=0
x2+x3=1
x1,x2,x3≥0
Given a random sample X1, X2,...., Xn from a normal N(μ,σ²) distribution, examine unbiasedness and consistency of (i) arithmetic mean for μ, (ii) 1/n Σ(Xi-arithmetic mean)² for σ².
For the geometric distribution,
f(x,θ)=θ(1-θ)x-1,x=1,2, ..., 0<θ<1
Obtain an unbiased estimator of 1/θ.
f(x,θ)=θ(1-θ)x-1,x=1,2, ..., 0<θ<1
Obtain an unbiased estimator of 1/θ.
Prove that the functions g(x,y) = 2x -3y / 4x+5y and h(x,y) = x/y , y≠0,y ≠ -4/5 ×x are functionally dependent.
Find the values of a and b for which the following limit exists. lim x→0 ae^x+e^-x+bx/1-cosx
Apply Inverse function theorem to check the local invertibility of the following function f: R^2→R^2 given by at the point (0,π). F(x,y) =(ycosx,x-y+2)
