Several students were selected to participate in a two-question survey. They were asked if they prefer a cat or dog as a pet and if they prefer salad or soup for lunch. The results are displayed below. Which of the following statements is true about the graph?

a) The percentage of people who prefer salad for lunch is larger for those who prefer dogs as pets.

b) The percentage of people who prefer soup for lunch is larger for those who prefer cats as pets.

c) The percentage of people who prefer salad for lunch is about the same no matter what their pet preference.

d) The percentage of people who prefer soup for lunch is smaller for those who prefer dogs as pets.

10cm

step-by-step explanation:

ik

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

x=6 and x=3

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