Question
The credit manager at a Departmental store
collects data on 100 of her customers. Of the 60 men, 40 have credit cards (C). Of the 40 women, 30 have credit cards (C). Ten of the men with credit cards have balances due (B), while 15 of the women have balances (B). The credit manager wants to determine the probability that a customer selected at random is a man without a balance.Solution
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?
Find the equation of the line passing through the points (1, 2) and (3, 8).
If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
- What is the reflection of the point (8, -5) in the line y = 2?
Find the co-ordinate of a point which divides the join of (3,2) and (3,2) internally in the ratio of 2:3?
Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
