According to the national highway traffic and safety administration’s national center for statistics and analysis, "speeding is one of the most prevalent factors contributing to fatal traffic crashes". the probability that speeding is a cause of a fatal crash is .3. furthermore, the probability that speeding and missing a curve are causes of a fatal crash is .12.
a. given that speeding is a cause of a fatal crash, what is the probability that the crash occurred on a curve?

0.40

Step-by-step explanation:

Let

A=Cause of fatal crash is speeding

B=Missing a curve

A and B=(A∩B)= Speeding and missing a curve both are cause of fatal crash

P(A)=0.3

P(A and B)=P(A∩B)=0.12

P(B/A)=0.40

The probability that the crash occurred on a curve is 0.40 or 40%

the answer is mc^1-1jpeg

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