The The table shows the average daily number of hours sleep of 10 children.
Age (years)
6 1 3 8 4 5 2 7 9 7
Number of hours sleep 12.5 15 13.2 11 14 12 14 11.69.8 11
The first eight results have been plotted.
a) Plot the next two points.
x
Number of hours sleep
b) What type of correlation is shown
by the graph? Negative
10
c) Draw a line of best fit.
2
4
6
8
10
Age (years)
Please help.

A) plot a point on 9.8 on age 9 and 11 on age 7

B) Negative

C) line of best fit is just going through the middle

a

step-by-step explanation:

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