The answer NOT simplified is 14 over 18 but SIMPLIFIED it would equal 7 over 9
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
I believe the answer is 0.53
The required equation of line parallel to given line is:
Step-by-step explanation:
Given equation of line is:

As the equation of line is in slope-intercept form, the co-efficient of x s the slope
Let m1 be the slope of given line
m1= 5/6
Let m2 be the slope of new line
As the slopes of two parllel lines are equal, so
m1 = m2
m2 = 5/6
The slope intercept form is:

Put m2 = 5/6 in equation

Putting the point in the equation

Putting the value of b, we get

Hence,
The required equation of line parallel to given line is:
Keywords: Slope intercept form, equation of line
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Answer:
The risk consequence of both activities is 1.6 months.
Step-by-step explanation:
We can define a randome variable D: total delay time for the project, and calculate its expected value.
This would be the risk consequence of both activities.
The expected delay time for the project is the sum of the expected delay for task A plus the expected delay for task B. It is assumed the likelihood of a problem in any task is independent of the other.
Then, each expected delay for a task is equal to the probability of a problem multiplied by the consequence (delay time).

The risk consequence of both activities is 1.6 months.