If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523
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nCk = n!/(k!(n-k)!)
4 because you can draw a line horizontally and a line vertically and also two lines diagonally.
Answer:
Step-by-step explanation:
t = tutoring and g = grocery store
t + g = 15......t = 15 - g
15t + 9g = 159
15(15 - g) + 9g = 159
225 - 15g + 9g = 159
-15g + 9g = 159 - 225
-6g = - 66
g = -66/-6
g = 11 <===== 11 hrs worked at the grocery store
t + g = 15
t + 11 = 15
t = 15 - 11
t = 4.....4 hrs tutoring
The vertex is (-5, 5) and the parabola opens downward. The vertex form equation is
.. y = -(x +5)^2 +5
Answer: x = 0 y = –3
Step-by-step explanation:
We can solve this system by substitution.
use the second equation as a value for x.
Then substitute that value in place of x in the first equation and solve for y.
6x - 5y = 15 becomes
6(y + 3) - 5y = 15 Distribute 6 × parentheses
6y + 18 - 5y = 15 combine like terms
6y -5y + 18 = 15
y + 18 = 15 Subtract 18 from both sides.
y =15 -18
y = –3
Use this value for y in either equation to solve for x
6x - 5(-3) = 15
6x + 15 = 15 Subtract 15 from both sides, divide by 6 (seems silly!)
x = 0
OR in he second equation,
x = -3 + 3
Again, x = 0
