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:
9x+14y
Step-by-step explanation:
First Multiply the number outside of the brackets with the numbers inside the brackets. Ex:3 x 3x and 3 x -y
17y-2x+3(3x-y)+2x
That should get you to this.
17y-2x+9x-3y+2x
Next combine like terms.
14y+9x
Hope this helps!
The inequality begins with the flat fee of $25. We then add the $13 per day for insurance as 13<em>d</em>, where <em>d</em> is the number of days. This gives us the expression
25 + 13<em>d</em>. Since he only has $121, we must use less than or equal to for our inequality; he can't spend any more than $121, but he can spend any number below it up to that number. This gives us
25 + 13<em>d</em> ≤ 121<em />
Is e just an algebraic expression or is it Euler's number (2.718...)?
If e is an algebraic expression then there it is
9514 1404 393
Answer:
Step-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
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1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
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1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive
