Given:
The function that represents how the amount of fuel changes as a function of distance flown is
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
Answer:
1.08T/ (1+8/100)T
Step-by-step explanation:
There is an easier way instead of doing 0.08 of t and then adding. You can do 108% of t which immediately gives the answer.
Hope this helps:)
Answer:
a) 
b) 
c) 
With a frequency of 4
d) 
<u>e)</u>
And we can find the limits without any outliers using two deviations from the mean and we got:
And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case
Step-by-step explanation:
We have the following data set given:
49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000
Part a
The mean can be calculated with this formula:
Replacing we got:
Part b
Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:
Part c
The mode is the most repeated value in the sample and for this case is:
With a frequency of 4
Part d
The midrange for this case is defined as:
Part e
For this case we can calculate the deviation given by:
And replacing we got:
And we can find the limits without any outliers using two deviations from the mean and we got:
And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case
Answer:
She needs 4 yards.
Step-by-step explanation:
To multiply fractions, you just multiply the whole number by the numerator of the fraction.
<em>The numerator is the top number of a fraction.</em>
<em>The denominator is the bottom number of a fraction.</em>
You can think of the whole number 6 as the fraction 6/1.
<h3>Step 1</h3>
Multiply 6/1 by 2/3
6x2=12
1x3=3
So, 6/1x2/3=<u>12/3</u>
<u></u>
<h3>Step 2</h3>
Now you need to simplify the fraction
Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.
12÷3=4
<h2>
So betty needs 4 yards of fabric to make 6 skirts.</h2>
Answer:
The number in standard form is 233.64
