Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest: 0.329, 0.330, 0.331, 0.331, 0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366 a frequency table for these data can best be graphically displayed as a bar graph. that is, it should not be displayed as a histogram. a. true b. false

The given statement is False.

Step-by-step explanation:

We are given a  the 30 data points which represent the best lifetime baseball batting averages of all time, arranged in order from lowest to highest.

As we know that we could obtain a frequency table from the following set of data points and histogram is a good way to represent the frequency data. ( i.e. a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins ).

Hence, the given statement,

A frequency table for these data can best be graphically displayed as a bar graph. That is, it should not be displayed as a histogram is a FALSE STATEMENT.

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