Answer:
10.14 years
Step-by-step explanation:
The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:
V=100-30e^{-0.04t}
The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:
80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years
It will take 10.14 years until 80% of all eligible voters in your county are registered to vote
Answer:
Look at attached image
Step-by-step explanation:
Answer:
And using the normal standard table or excel we find the probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then, the distribution for the sample mean is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:
Answer:
5.5 inches
Step-by-step explanation:
Answer:
a = 36 and a = 27
Step-by-step explanation:
The geometric mean of two numbers is the square root of the product of the two numbers.
Say for example we have the numbers x and y, the geometric mean z is mathematically;
z = √xy
For the first question, our z is 12, x and y are 4 and a respectively.
12 = √4a
square both sides
144 = 4a
a = 144/4
a = 36
For the second question
z is 9, x and y are 3 and a respectively
9 = √3a
square both sides
81 = 3a
a = 81/3
a = 27