3. The Houses of Parliament in Ghyronmia (a hypothetical small country) have two political parties: the Purple Party and the Chartreuse Party. Twenty different "tax cut" bills came up in the most recent Parliamentary session. If senators voted yes, they were in support of a tax cut. The number of times (out of a possible 20) each senator voted yes is shown below: (8 points) Number of times senators from each party voted yes to a tax cut bill: Purple: 17, 18, 20, 15, 12, 15, 17, 19, 20, 17, 20, 18, 15, 9, 14,16,17,14, 3, 15 Chartreuse: 11, 13, 12, 9, 17, 11, 10, 14,7, 8, 8,11, 12, 12, 13, 12, 14, 10, 10, 10 A. Construct modified box-and-whisker plots for each data set on the same horizontal axis. Please indicate the values of Q1, median, and Q3 on the different plots. B. Compute the IQR for each data set. C. Compare the shapes of the two distributions (skew and outliers) and the amount of variation in the distributions. What do these plots tell you about the policies of Chartreuse and Purples in this particular state during this particular legislative session? What do the outliers tell you about the behavior of a few of the senators?

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

use formula for the circle a=3.14

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

360/29

step-by-step explanation: