If 21 students write their names on pieces of paper and put them in a hat, what is the probability that the first student who draws will draw his own
name?

1/21

Step-by-step explanation:

There are 21 total slips of paper.

Only one has the persons name on it.

1/21 is the probability he chooses his name

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: