The probability that Maria succeeds at any given free-throw is 75%. She was curious how many free-throws she
can expect to succeed in a sample of 10 free-throws.
She simulated 25 samples of 10 free-throws where each free-throw had a 0.75 probability of being a success.
Maria counted how many free-throws were successes in each simulated sample. Here are her results:
5 6 7 8 9 10
# of free-throw succes
Use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10
free-throws.
Give your answer as either a fraction or a decimal.

because 1.2 isnt half of 6 duh

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