Which situation could be represented by an exponential function select each correct answer
1 answer:
Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option: An event organizer finds each year's attendance for the past five years is about of previous year's attendance.
So, here the total attendance is compounding every year by a factor of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
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Answer:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007
Step-by-step explanation:
Let X the random variable that represent the women heights of a population, and we know the following parameters
and
We are interested on this probability
Since the sample size selected is 75>30 we can use the centrel limit theorem and the appropiate formula to use would be the z score given by:
If we find the z score for 65 inches we got:
And we can find the probability using the complement rule and with the normal standard table like this:
The probability that the mean height for the sample is greater than 65 inches is 0.007