The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes a
1 answer:
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Answer:
38.26 years.
Step-by-step explanation:
We have been given that the population of an endangered animal by reduces 8% per year. the current population of the animal is 1700. When the population of this animal falls below 70, its extinction is inevitable.
Let us write the model for population of this animal (y) after x years.
Since we know that an exponential decay function is in form: , where,
a= Initial value.
r = Rate in decimal form.
Let us convert our given rate in decimal form.
Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:
Let us find, when the animal population will face extinction by substituting y=70 in our function.
Let us take natural log of both sides of our equation.
Therefore, the population of the animal will face extinction after 38.26 years.
Answer:
15 times there will be a blue and purple flag in the same spot
Step-by-step explanation:
300 miles / 10 miles = 30 blue flags in total
300 miles / 20 miles = 15 purple flags in total
There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.
I have attatched a demonstration of my thoughts to this post.
