Answer:
Probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight is 0.2105.
Step-by-step explanation:
We are given that the probability that an international flight leaving the United States is delayed in departing (event D) is 0.25. The probability that an international flight leaving the United States is a transpacific flight (event P) is 0.57. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is 0.12.
Let the probability that an international flight leaving the United States is delayed in departing = P(D) = 0.25
Probability that an international flight leaving the United States is a transpacific flight = P(P) = 0.57
Probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing = = 0.12
Now, the probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight is given by = P(D/P)
As we know that the conditional probability is given by;
P(A/B) =
Similarly, P(D/P) =
=
= 0.2105
<em>Hence, the required conditional probability is 0.2105.</em>
Answer: y + 3 = 2 (x + 3)
To frame equation , we need to find slope
To find slope , we pick two points from the graph
(0,3) and (-3,-3)
Slope = 2
The formula for point - slope form is
Where m is the slope = 2 and point (x1,y1) is (-3,-3)
Plug in the values in the formula
Equation becomes
We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is where <em>(h,k)</em> is the centre of the circle and radius is <em>r</em> . Proceeding further ;
Collecting <em>x</em> terms , y terms and transposing the constant to RHS ;
Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .
On comparing this with the standard equation , we got our centre at <em>(-11,-6)</em> and radius is <em>18 units </em>
Answer: 240000
Step-by-step explanation: 10 · 10 · 10 · 10 = 10000
1 · 2 · 3 · 4 = 24
10 · 20 · 30 · 40 = 240000