A researcher who is interested in the effect of price on perceived quality gives a group of 50 students sneakers which are described to them as "expensive," while another group of 50 students received the very same sneakers which are described to them as "discount." The students are then asked to rate the perceived quality of the sneakers on a scale using only one of the following values (0 = poor quality, 1 = satisfactory quality, 2 = good quality, 3 = very good quality, 4 = superior quality) to see if there is a difference based on the description. a) What is the independent variable?

b) What is the dependent variable?

c) Is the dependent variable discrete or continuous?

d) What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable?

e) What research method is being used - experimental or observational- and why?

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

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.