Answer:
-3
Step-by-step explanation:
-7b = 21
/ -7 / -7
b = -3
Answer:
1/2.
Step-by-step explanation:
The slope = rise/run
= (-13 - (-10)) / (3 - 9)
= -3 / - 6
= 1/2.
For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are ![nC_r = \frac{ n! }{r! (n-r)!}](https://tex.z-dn.net/?f=%20nC_r%20%3D%20%5Cfrac%7B%20n%21%20%7D%7Br%21%20%28n-r%29%21%7D%20%20%20)
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
![P = \frac{_{117}C_3}{_{120}C_3}](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%7B_%7B117%7DC_3%7D%7B_%7B120%7DC_3%7D%20%20%20)
Where
is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.
![_{117}C_3 = 260130](https://tex.z-dn.net/?f=%20_%7B117%7DC_3%20%3D%20260130%20%20)
![_{120}C_3 = 280840](https://tex.z-dn.net/?f=%20_%7B120%7DC_3%20%3D%20280840%20%20)
So:
![P = \frac{260130}{280840} = 0.927](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%7B260130%7D%7B280840%7D%20%3D%200.927%20%20%20)
Finally, the probability that at least one of the selected components is defective is:
![P = 1-0.927 = 0.0737](https://tex.z-dn.net/?f=%20P%20%3D%201-0.927%20%3D%200.0737%20)
P = 7.4%
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
Get running mate I believe you may have heart disease in the near future but good luck and try not to eat any more people