Question

20 tickets on which the no.s 1 to 20 are wwritten what is the probability the no is multiple of 7 or 3

Answer 1

total event = 20
favourable event ( multiple of 3&7 - 3,7,6,9,12,14,15,18)=8
probability = 8/20
=2/5
=0.4

Answer 2

Answer:

Given Question :-

The coordinates of the foot of the perpendicular drawn from the origin to the plane 2x + y - 2z = 18 is _____

ANSWER

GIVEN

The equation of plane is 2x + y - 2z = 18.

The point (0, 0, 0)

TO FIND :-

Co-ordinates of foot of perpendicular drawn from (0, 0, 0) to the plane 2x + y - 2z = 18.

CALCULATION :-

Since,

the equation of plane is 2x + y - 2z = 18.

So,

the normal vector or direction ratios of the plane is (2, 1, -2).

Let the coordinates (0, 0, 0) be represented by O.

Let OP be the perpendicular drawn to the plane from (0, 0, 0) intersecting plane at P.

So,

Equation of line OP passes through (0, 0, 0) having direction ratios (2, 1, -2) is given by

So,

Co-ordinates of any point on the line, say P is given by

Now,

P lies on the plane 2x + y - 2z = 18

Therefore,

Hence,

Coordinates of P becomes (4, 2, - 4)

Step-by-step explanation: