Which statement is true?
1 answer:
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Answer:
You would expect 75 cartons with at least 1 broken egg.
There are likely to be 222 DVD players that are defective.
Step-by-step explanation:
Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players. In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.
Egg Cartons:
'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'. In this case 500/20 = 25, so the factor is 25. 3 x 25 = 75, so you have 75 expected cartons with a broken egg.
DVD Players:
'x' represents the number of DVD players out of 3700 that would be expected to be defective. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'. In this case 3700/50 = 74, so the factor is 74. 3 x 74 = 222, so you have 22 likely defective DVD players.
Remember that to find the zeroes of a quadratic expression of the form 
we could either factor it or use the quadratic formula. When 
, like in our case, is often way easier and faster factor the expression than using the quadratic formula. The only thing we need to do to factor the expression is find tow number whose product is 48 and its sum is 14; those numbers are 6 and 8. 
and 
. Now we can factor our quadratic like follows:
Since we are trying to find the zeroes of the function, we are going to set each one of our factored binomial equal to zero and solve for x:
and
We can conclude that the zeroes of the function
are and .
Since we are trying to find the zeroes of the function, we are going to set each one of our factored binomial equal to zero and solve for x:
and
We can conclude that the zeroes of the function