Asingle die is rolled twice. the 36 equally-likely outcomes are shown to the right. find the probability of getting first an odd number and second an even number.

The probability of getting first an odd number and second an even number IS 0.25

Step-by-step explanation:

Lets define the following events:

A: Probability of obtaining an odd number first time

B: Probability of obtaining an even number second time

and probability of ane events is defined as

P (Event) = number of ways event may happen / number of possible outcomes

Then:

P(A) = 3/ 6 =1/2

because we can have 1, 3,5 so event A occurs and there are six possible outcomes (1,2,3,4,5,6)

P(B) = 3/ 6  =1/2

because we can have 2, 4,6 so event b occurs and there are six possible outcomes (1,2,3,4,5,6)

the probaility that both events occur one after the other is

P(A and B) = P(A)*P(B) = 1/2* 1/2 = 1/4 = 0.25

This applies only if the chances that event B happening doesnt change after A happens. As A event is independent from B event, we can do this multiplication.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: