] Circle the statements below that are true for all values of x, y, and z. For any statement that is not always true, give an example of values of x, y, and z for which the statement is not true. (a) x(yz) = (xy)z. (b) x ÷ (y ÷ z) = (x ÷ y) ÷ z. (c) x + (y + z) = (x + y) + z. (d) x − (y − z) = (x − y) − z.

answer: can and shows the work

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.