The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat
ion data began.
Which statement is true?
Which statement is true?
1 answer:
The true statements is the population was 4800 when the collection of data began. (3rd option)
<h3>What is an exponential function?</h3>An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) =
Where:
- x = the variable
- e = constant
When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.
The exponential equation used to represent an exponential growth usually have this form:
FV = PV (1 + r)^n
Where:
- FV = future population
- PV = present population
- r = rate of growth
- n = number of years
Given this exponential equation : f(x) = 4800 (1.02)^t
- 4800 = initial population or population when the data collection began
- 2 % = rate of growth
- t = number of years
To learn more about exponential functions, please check: brainly.com/question/26331578
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Answer:
a.
b.
c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.
Step-by-step explanation:
a.Binomial distribution is defined by the expression
Let n be the number of trials,
and p be the probability of success,
The mean of a binomial distribution is the probability x sample size.
b.Limits within which p is approximately 95%
sd of a binomial distribution is given as:
Therefore,
Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.
Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).
c. is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.