HSC Commerce: Marketing and Salesmanship 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If P(A) = `1/4`, P(B) = `2/5` and P(A ∪ B) = `1/2` Find the value of the following probability: P(A' ∩ B)

If P(A) = `1/4`, P(B) = `2/5` and P(A ∪ B) = `1/2` Find the value of the following probability: P(A' ∪ B')

If P(A) = `1/4`, P(B) = `2/5` and P(A ∪ B) = `1/2` Find the value of the following probability: P(A' ∩ B')

A computer software company is bidding for computer programs A and B. The probability that the company will get software A is `3/5`, the probability that the company will get software B is `1/3`, and the probability that the company will get both A and B is `1/8`. What is the probability that the company will get at least one software?

A card is drawn from a well shuffled pack of 52 cards. Find the probability of it being a heart or a queen.

In a group of students, there are 3 boys and 4 girls. Four students are to be selected at random from the group. Find the probability that either 3 boys and 1 girl or 3 girls and 1 boy are selected.

Find the graphical solution of the following system of linear inequations:
x – y ≤ 0, 2x – y ≥ − 2

Find the graphical solution of the following system of linear inequations:
2x + 3y ≥ 12, – x + y ≤ 3, x ≤ 4, y ≥ 3

Find the graphical solution of the following system of linear inequations:
3x + 2y ≤ 1800, 2x + 7y ≤ 1400

Find the graphical solution of the following system of linear inequations:
`"x"/60 + "y"/90 ≤ 1`, `"x"/120 + "y"/75 ≤ 1`, y ≥ 0, x ≥ 0

Solve the following system of inequalities graphically.
3x + 2y ≤ 12, x ≥ 1, y ≥ 2

Solve the following system of inequalities graphically.
2x – y ≥ 1, x – 2y ≤ – 1

If f(x) = 3x + 5, `"g"(x)` = 6x − 1, then find `("f" + "g") (x)`

If f(x) = 3x + 5, g(x) = 6x − 1, then find (f - g) (2).

If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg) (3)

If f(x) = 3x + 5, g(x) = 6x – 1, then find `("f"/"g")`(x) and its domain.

If f(x) = 2x² + 3, g(x) = 5x − 2, then find fog.

If f(x) = 2x² + 3, g(x) = 5x − 2, then find gof.

If f(x) = 2x² + 3, g(x) = 5x – 2, then find fof.

Compute arithmetic mean and S.D. and C.V.
(Given `sqrt(296)` = 17.20)