Select the correct answer from each drop-down menu. A student begins a proof of the law of cosines. His work is shown.
Y
Z
X
x
Z
zcos(X) A
у
Step 1: cos(X) = AX 쌀
zcos(X) = AX
The next step in the proof is to write an expression for the length of side AZ in terms of
Then the student should write an expression for the length of side AY in terms of
Next he can use the
to relate x, y, z, and

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.

x:       y:  

-1         4

0         4

1         6

2         18

3         20