Answer:
This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67
Step-by-step explanation:
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Answer:
The events must be independent.
Step-by-step explanation:
The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.
If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be
where
are combinations of 100 elements taken k at a time.
Answer:
4.732 grams
Step-by-step explanation:
2 US fluid ounces is exactly 59.147059125 mL of volume. 8% of that volume is 4.73176473 mL.
For a solution of this type, where 1 g/100 mL is considered a 1% solution this is the number of grams of solute needed.
About 4.732 grams of solute are needed to prepare 2 fl oz of 8% solution.
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We have assumed that 1 gram of solute gives you 1 gram of iodine. Depending on the exact solute used, that may or may not be the case.
1 in 48 because only 48 are continental