What’s the scale factor going from Figure 1 to Figure 2?

Greetings from Brasil...

Just compare the distances AC and A'C'. We can see that AC = 2 and A'C' = 6. We can mount the following expression:

AC · X = A'C'

2 · X = 6

X = 6 ÷ 2

X = 3

Thus, figure 2 is 3x larger than figure 1

scale factor = 3x larger

-81 -56 -27 0 81

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.