The table gives some information about the heights of 60 boys.
Least height
Greatest height
Lower quartile
Upper quartile
Median
142 cm
181 cm
149 cm
160 cm
156 cm
a) Complete the boxplot for this information.
130 140 150 160 170 180
(3)
height (cm)
b) Work out an estimate for the number of these boys with a height between
149 cm and 181 cm.

a.) Check attatched image for boxplot drawing.

b.) 45 boys.

Step-by-step explanation:

b.) A box plot is split up into 4 quarters:

Minimum to Lower Quartile

Lower Quartile to Median

Median to Upper Quartile

Upper Quartile to Maximum

So looking at  the question it asks for you to find the number of boys between 149cm (Lower Quartile) and 181cm (Maximum) which all together is 3/4 of the boxplot. Knowing this, take the total number of boys (which is 60) and multiply it by 3/4 which will give you the final answer of: 45 boys.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0