HSC Commerce: Marketing and Salesmanship इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

b_XY . b_YX = ______.

Five jobs are performed first on machine M₁ and then on machine M₂. Time taken in hours by each job on each machine is given below:

Determine the optimal sequence of jobs and total elapsed time. Also, find the idle time for two machines.

Draw Venn diagram for the following:

No policeman is thief

Draw Venn diagram for the following:

Some doctors are rich

Draw Venn diagram for the following:

Some students are not scholars

If b_yx > 1 then b_xy is _______.

The following results were obtained from records of age (x) and systolic blood pressure (y) of a group of 10 women.

`sum(x_i - barx)(y_i - bary)` = 1170

|b_xy + b_yz| ≥ ______.

For a bivariate data:

`sum(x - overlinex)^2` = 1200, `sum(y - overliney)^2` = 300, `sum(x - overlinex)(y - overliney)` = – 250

Find: 

1. b_yx
2. b_xy
3. Correlation coefficient between x and y.

Six jobs are performed on Machines M₁ and M₂ respectively. Time in hours taken by each job on each machine is given below:

Determine the optimal sequence of jobs and find total elapsed time. Also find the idle time for machines M₁ and M₂.

Solution:

Given jobs can be arranged in optimal sequence as,

Total Elapsed time = `square` hrs.

Idle time for Machine M₁ = 43 – 42 = 1 hour.

Idle time for Machine M₂ = `square` hrs.

`"Find"  (d^2y)/(dx^2)  "if"  y=e^((2x+1))`

Find `(d^2y)/dx^2 if, y = e^((2x + 1))`

Find `(d^2y)/dx^2` if, `y = e^((2x + 1))`

Find `(d^2y)/dx^2` if, `y = e^((2x + 1))`

Find `(d^2y)/(dx^2)` if, y = `e^((2x+1))`

Find `(d^2y)/dx^2` if, y = `e^((2x + 1))`

Find `(d^2y)/dx^2  "if,"  y= e^((2x+1))`

Find `(d^2y)/dx^2` if, `y = e^((2x + 1))`

Find `(d^2y)/dx^2` if, y = `e^(2x +1)`

Find `(d^2y)/dx^2, "if"  y = e^((2x+1))`