Pls help with this problem
1 answer:
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Answer:
- The limits are 908.6 cm^3 and 1417cm^3
- 1337.0cm^3 is in between the limits
Step-by-step explanation:
To determine the limit by taking into account the range rule of thumb, you use the fact that the limits are given by the mean plus and minus twice the standard deviation, that is:
(1)
: mean of brain volume = 1162.8 cm^3
σ: standard deviation = 127.1 cm^3
You replace the values of the parameters in the equation (1):
Limits = (1417 , 908.6)
The limits are 908.6 cm^3 and 1417cm^3
1337.0cm^3 is in between the limits calculated above.
It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have