The box plots show the average speeds, in miles per hour, for the race cars in two different races.
average speeds of cars in race a(top plot)
average speeds of cars in race b(bottom plot)
which statement compares the median speeds for the data in the two box plots?
a) the median speed in race a is about 142 miles per hour, and the median speed in race b is about 140 miles per hour.
b) the median speed in race a is about 120 miles per hour, and the median speed in race b is about 125 miles per hour.
c) the median speed in both races is about 165 miles per hour.
d) the median speed in race a is about 153 miles per hour, and the median speed in race b is about 145 miles per hour.

a) the median speed in race a is about 142 miles per hour, and the median speed in race b is about 140 miles per hour.

step-by-step explanation:

the box plots show the average speeds, in miles per hour, for the race cars in two different races. the median speed in race a is about 142 miles per hour, and the median speed in race b is about 140 miles per hour compares the median speeds for the data in the two box plots.

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

two data sets with the same median will not have the same varaibility

step-by-step explanation: