A city planner would like to estimate the true mean annual income of all households in the city. She selects a random sample of
1 answer:
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Answer:
The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).
In this case, h= -1 since h +1 = 0 and k = 20.
It follows that x - h = (-1) = x + 1.
So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>
The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function
Step-by-step explanation:
<em>f(2) = a In(2 +1) +20 </em>
<em>22.197 = a In(3) + 20 </em>
<em></em><em>≈ a </em>
<em>2 ≈ a</em>
So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>
Answer:
<em>The speed of a boat in still water is 6 miles per hour. </em>
Step-by-step explanation:
t = (upstream)
t = (downstream)
=
40 ( s - 2 ) = 20 ( s + 2 )
40s - 80 = 20s + 40
20s = 120
s = 6 mi / h
<em>The speed of a boat in still water is 6 miles per hour.</em>
