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.
126/3 = 42 calories per 1/4 cup. This 2 x 42 calories (2 quarters = 1/2 cup) = 84 calories.
A
Because i did the math and i had this question before
Answer:
11,880π in^3
Step-by-step explanation:
The volume of a cylinder = π r^2 h
Large Cylinder V = π * 15^2*40 = 9,000π in^3
Small Cylinder V = π * 12^2 * (60-40) = 2880π in^3
Adding: the total volume of the model = 11,880π in^3
<h3>
Answer: Choice D</h3>
This shows a list of points where the x coordinate does not repeat. This means that any given x input leads to exactly one y output.
Something like choice A has x = 6 repeated; showing that x = 6 leads to both y = 11 and y = -9 at the same time. So this is why choice A is not a function. Choice B has x = 1 repeat, so it's not a function either. Choice C has x = 19 repeated, so it's not a function.
As a visual tool, you can use the vertical line test to check each set of points. If you are able to draw a single vertical line through more than one point on the graph, then it is not a function.
