A random sample of 100 adults aged 18 years or older were asked to list which ice cream flavor was their favorite. Here are the results. Chocolate
29
Strawberry
23
Vanilla
18
Mocha
16
Other
14
Which of the following graphs would be most appropriate for visually displaying the​ results?
A) Frequency Bar Graph
B) Pie Chart

Pie chart

Step-by-step explanation:

Because they add to 100 a pie chart would be optimal

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

the function makes a strait line horizontally with no x intercept but a y intercept at 9.