Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of 0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. Which of the following is true? Purchasing a new car and purchasing a used car are disjoint events. If you buy a new car, then you will not buy a used car. All of the answer options are correct. The probability that you will not buy a used vehicle is 0.5.

Purchasing a new car and purchasing a used car are disjoint events.

Step-by-step explanation:

Disjoint Events are events which do not have common outcomes.

In the given question there are two possibilities of purchasing the vehicle one is used vehicle and the other is new vehicle.  These possibilities are disjoint as they do  not have the same outcomes and probabilities. One has a probability of 0.5 and the other has probability of 0.4.

The probability of not buying a used vehicle is 0.6

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half