Why do ⅚, 15,18, and 10/12 equal each other?
1 answer:
You might be interested in
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
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 variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Answer: a. 12.4 years
Step-by-step explanation:
Function to represent exponential growth continuously:
...(i)
, where = initial amount, r= rate of interest ( in decimal) , A = Amount after t years.
As per given , we have
To find : t
Put all values in (i) ,
Taking natural log on both sides
Hence, it would take <u>12.4</u> years.
so, the correct option is a. 12.4 years .