Answer:
There is a 14.71% probability of teacher picking all 3 girls.
Step-by-step explanation:
Initially, there are 18 students, of which 10 are girls. So there is a 10/18 = 5/9 probability that the first student chosen is a girl.
Now, since the first student chosen was a girl, there are 17 students, of which 9 are girls. So there is a 9/17 of the second student chosen being a girl.
Both students picked were girls. Now there are 16 students, of which 8 are girls. So there is a 8/16 = 1/2 probability of the third student chosen in this situation being a girl.
Probability of teacher picking all 3 girls?
We multiply these probabilities:
There is a 14.71% probability of teacher picking all 3 girls.
Answer:
Option B.
Step-by-step explanation:
If a line passing through two points, then equation of line is
It is given that the line passing through (-8,-3) and (-8,1). So, the equation of line is
The given line is a vertical line because slope .
So, the equation of line is x=-8.
Therefore, the correct option is B.
Let
The curl is
where denotes the partial derivative operator with respect to
. Recall that
and that for any two vectors and
,
, and
.
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means is indeed conservative and we can find
.
Integrate both sides of
with respect to and
Differentiate both sides with respect to and
Now
and differentiating with respect to gives
for some constant . So