Answer:
The population will be double in 0.5 years.
Step-by-step explanation:
The population growth of a community is modeled by the equation , where P (x) is population and x is time in years beginning with x = 0.
Therefore, the population at x = 0 will be =
If the population becomes double then we can write the equation as
⇒
⇒
⇒ 2(x + 1) = 3 {Comparing the power terms}
⇒ x + 1 = 1.5
⇒ x = 0.5 years.
Therefore, the population will be double in 0.5 years. (Answer)
Answer:
Tanks of 15.3081 gallons and larger are considered too large.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
How large does a tank have to be to be considered too large
largest 2%, so at least the 98th percentile.
The 98th percentile is X when Z = 0.98. So it is X when Z = 2.054.
Tanks of 15.3081 gallons and larger are considered too large.
