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2 answers:
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Answer:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
=
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The equation in slope-intercept form is: where m is slope and b is y-intercept.
Finding Slope:
The both equations given are parallel. So, they have same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept
Using slope m = -2/3 and point (-3,5) we can find y-intercept
So, we get b = 3
Now, the equation of required line:
having slope m = -2/3 and y-intercept b =3
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is