Step-by-step explanation:
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Answer:
The expression is: 100 -a - 2b
Step-by-step explanation:
One piece of length a and two pieces of length b, i.e., (2 times b) are a total length of (a + 2b). We are asked to express the remaining part of the wire, originally 100 cm long, so that must be 100 minus the total pieces cut out:
100 - ( a + 2b ) = 100 -a -2b
b² + 6b - 16 = 0
b² + 8b - 2b - 16 = 0
b(b) + b(8) - 2(b) - 2(8) = 0
b(b + 8) - 2(b + 8) = 0
(b - 2)(b + 8) = 0
b - 2 = 0 or b + 8 = 0
<u> + 2 + 2</u> <u> - 8 - 8</u>
b = 2 b = -8
<h3>
Answer: 1/12</h3>
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Explanation:
There are 3 red out of 9 total
The probability of picking red at random is 3/9 = 1/3
If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4
Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.
Now multiply the fractions mentioned:
(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12
If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.
Side note: 1/12 = 0.0833 = 8.33% approximately
The question is a bit confusing, but I'm assuming you are adding them all up, so the total sum would be 60 items :)
