Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
So, say your # was 6,234,578. you would go to the seven and look to the number next to in, so 8, and if the neighbor is 5 or bigger, you make the number, in this case a 7 an 8. Last, you make all the other #s after the one you rounded 0. So the answer would be:
6,234,570.0
Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.
Answer:
A dependent variable is a variable (often denoted by y ) whose value depends on that of another. so it is the variable that changes depending on the numbers beside it.
I hope this helps if not check out Khan academy
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-dependent-independent/v/dependent-and-independent-variables-exercise-example-3