The trick here is to find the vertex for its highest point and find the root that is of the greatest value for the final distance.
The nice thing about this function is that it has been written in what we call vertex form. This means that the maximum (or minimum if the parabola opens upwards) is given to us at the end of the function. In this case it is 6. We know that the graph starts at (0,0) (because the cangaroo jumps starting at no height with no distance so far) and so if the x-value given for the vertex is 14, we know that if we double that value, it will give us the second root. The total distance jumped is 28m.
Highest point: 6m
Total distance: 28m
Answer:
100
Step-by-step explanation:
The function takes in an X value and produces a Y value.
The Y value equals 24 times the X value plus 4 more.
This means that:
Y = 24X + 4
When the X value equals 4, the Y value will be:
Y = 24(4) + 4
Y = 96 + 4
Y = 100
When the X value is 4, the Y value is 100.
Answer:
702 emails
Step-by-step explanation:
<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>
Given data
Average personal emails received monthly = 
Average work emails received monthly
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.

The new number of mails

Joe will be receiving an average of 702 emails in his personal account monthly
4.265 rounded to the nearest hundredth is 4.27
There is a relationship between confidence interval and standard deviation:

Where

is the mean,

is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:

When we do all the calculations we find that:

Now we can find confidence intervals:

We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing