We are given the following information concerning the three production machines;

Also, we are given the percentage of defective output as follows;

Therefore, if an item is selected randomly, the probability that the item is defective would be;

ANSWER:
The probability that the item is defective would be 0.0415
The vertex is (4,3). Hope this helps!
Answer:
x + 4
Step-by-step explanation:
Area of rectangle= length × breadth
In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12
This means that;
5x2 + 23x + 12 = 5x + 3 (b)
Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3
To get the other length, we can factorize the algebraic expression;
5x2 + 23x + 12
Product: 60x^2 (20x × 3x)
Sum: +23x (20x + 3x)
Hence;
= 5x^2 + 20x + 3x + 12
Next, we find factors;
5x (x+4) + 3 (x+4)
Therefore, the factors are (5x + 3) and (x +4)
This means that the other length is (x +4)
The answer is 6.7
You (should) know 10 goes into 67, 6 times. So write 6 on the top and subtract 60 from 67. You get 7. 10 doesn't go into 7 because 7 is less. So write a zero next to the 7 AKA bring down a 0. You will then technically have 70. 10 goes into 70, 7 times, so write 7 next to the previous 6 at the top, and put a decimal between 6 and 7.
Or
You should know if anything is being divided by 10. You just move the decimal to the left. Left is less. In 67 the decimal is right after the 7. 67.0. Therefore if you move the decimal one place over to the left you get 6.7
Either way works.