Set up the two events
A = first card is a 9
B = second card is a 9
The probability for event A is
P(A) = 4/52
because there are four "9" cards out of 52 total
If event A happens first, and B follows, then the probability is
P(B|A) = 3/51
because there are 3 nines left over out of 52-1 = 51 total left over
No replacement has been made
The notation P(B|A) means "probability of event B given that event A has happened"
Multiply the probabilities
P(A and B) = P(A)*P(B|A)
P(A and B) = (4/52)*(3/51)
P(A and B) = (4*3)/(52*51)
P(A and B) = 12/2652
P(A and B) = 1/221
P(A and B) = 0.00452488687782
Rounded to 4 decimal places, the approximate answer is 0.0045
The exact answer as a fraction is 1/221
Perpendicular is when the slopes multiply to negative 1
remember
the slope of the line in form
ax+by=c is -a/b
find slopes
2x+ky=6
slope is -2/k
6x-4y=12
slope is -6/-4=3/2
so
-2/k times 3/2=-1
solve for k
-6/(2k)=-1
times both sides by 2k
-6=-2k
divide by -1
3=k
k has to be 3
1. : 1. 47 0.68 : 1. 0.404762 : 0. 595238
Please rewrite this question in an understandable form.
12000 x 0.40 = 4800
12000 - 4800 = 7200
7200 acres are being logged
hope this helps