Answer: Last Option

Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:

Where l is the length and w is the width.
In this case we have to:


So


Answer:




The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.
Step-by-step explanation:
The subindex B is for the before case and the subindex A is for the after case
Before case (with 500)
For this case we have the following dataset:
500 200 250 275 300
We can calculate the mean with the following formula:

And the sample deviation with the following formula:

After case (With -500 instead of 500)
For this case we have the following dataset:
-500 200 250 275 300
We can calculate the mean with the following formula:

And the sample deviation with the following formula:

And as we can see we have a significant change between the two values for the two cases.
The absolute difference is:

If we find the % of change respect the before case we have this:

So then is a big change.
Answer:
<h2>YES</h2><h2>NO</h2><h2>YES</h2><h2>NO</h2>
Step-by-step explanation:

Answer:
5/7
Step-by-step explanation:
4/3 = 320/x
4x = 320*3
4x = 960
x = 240
Check:
320/240 divide both by 80
= 4/3 :)