Answer:
![Pr = 0.7282](https://tex.z-dn.net/?f=Pr%20%3D%200.7282)
Step-by-step explanation:
Given
--- sample size
-- defective
--- selected
Required
The probability that the batch will be accepted
When the first is selected, the probability that it is okay is:
![Pr(1) = \frac{2100-160}{2100} = \frac{1940}{2100}](https://tex.z-dn.net/?f=Pr%281%29%20%3D%20%5Cfrac%7B2100-160%7D%7B2100%7D%20%3D%20%5Cfrac%7B1940%7D%7B2100%7D)
<em>The subtraction is done to get the number of items that are not defective</em>
Now, there are 2099 left
For the second selection, the probability is:
![Pr(2) =\frac{2099-160}{2099} = \frac{1939}{2099}](https://tex.z-dn.net/?f=Pr%282%29%20%3D%5Cfrac%7B2099-160%7D%7B2099%7D%20%3D%20%5Cfrac%7B1939%7D%7B2099%7D)
Now, there are 2098 left
For the third selection, the probability is:
![Pr(3) =\frac{2098-160}{2098} = \frac{1938}{2098}](https://tex.z-dn.net/?f=Pr%283%29%20%3D%5Cfrac%7B2098-160%7D%7B2098%7D%20%3D%20%5Cfrac%7B1938%7D%7B2098%7D)
Now, there are 2097 left
For the fourth selection, the probability is:
![Pr(4) =\frac{2097-160}{2097} = \frac{1937}{2097}](https://tex.z-dn.net/?f=Pr%284%29%20%3D%5Cfrac%7B2097-160%7D%7B2097%7D%20%3D%20%5Cfrac%7B1937%7D%7B2097%7D)
So, the probability that the batch will be selected is:
![Pr = Pr(1) * Pr(2) * Pr(3) * Pr(4)](https://tex.z-dn.net/?f=Pr%20%3D%20Pr%281%29%20%2A%20Pr%282%29%20%2A%20Pr%283%29%20%2A%20Pr%284%29)
![Pr = \frac{1940}{2100} * \frac{1939}{2099} * \frac{1938}{2098} * \frac{1937}{2097}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B1940%7D%7B2100%7D%20%2A%20%5Cfrac%7B1939%7D%7B2099%7D%20%2A%20%5Cfrac%7B1938%7D%7B2098%7D%20%2A%20%5Cfrac%7B1937%7D%7B2097%7D)
![Pr = 0.7282](https://tex.z-dn.net/?f=Pr%20%3D%200.7282)
Answer:
1 avocado= 50 cents 16 avocados is 8 dollars 20 avocados are 10 dollars and 9 avocados is 4.50
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
Answer:
This formula is in slope-intercept form. 3 is the slope (positive slope) and <u>-2 is the y-intercept.</u>
Answer:
Its letter B! y=2x+8
Step-by-step explanation: