The constraints for the problem is the number of tomatoes and cups of oil on hand.
There are only 45 tomatoes and 10 cups of oil on hand to make both the Tuscan sauce and Marinara sauce.
These are identified as constraints because they limit the number of Tuscan sauce and Marinara sauce that Tiffany can make.
Answer:
279 silvery minnow
Step-by-step explanation:
Number of Silvery Minnows initially tagged = 54
Number of minnows captured = 62
Number of tagged minnows in captured ones = 12
Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.
So, in x minnows, 54 are tagged ones.
When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.
Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.
i.e.

This means, there were 279 silvery minnows in the Rio Grande River.
Answer:
No, it would have to have been greater than .192 to invalidate the claim.
Step-by-step explanation:
Answer:
The length of the circumference is
or 
Step-by-step explanation:
<u><em>The question in English is</em></u>
On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?
we know that
The circumference of a circle is given by the formula

we have

substitute

This is the exact value
assume


Answer:
Independent
dependent
Step-by-step explanation:
The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.