Answer:

Step-by-step explanation:
Given

Required
What value of c makes the mean = 10
Mean is calculated as

In this case;
Mean = 10 and n = 4;
So, we have:


Multiply both sides by 4


Solve for c


Answer:
1. Right Triangle
2. Not Right Triangle
3. Not Right Triangle
Step-by-step explanation:
1. 28² + 45² = 2809 --> 53² = 2809
2. 6² + 6² = 72 --> 8² = 64
3. 4² + 10² = 116 --> 12² = 144
Write it out as a set of equation:
Let x be number of 8 cent stamps, y be 10 cent stamps, and z be 2 cent stamps.
x=y
z=x+y
8x+10y+2z=440
Lets first solve for x:
from x=y and z=2x(from first equation) the last equation is
8x+10x+4x=440
22x=440
x=20
know that x=20, you also know that y=20 as well, since z=x+y, z=40.
So 20 8-cent stamps, 20 10-cent stamps, and 40 2-cent stamps.
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.