In order to find the percent error, we need to first find the difference between what was expected and what is actually costed. We do this by subtracting:
So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:
However this is in decimal form. We need to multiply by 100 in order to get it in a percent:
Now we know that
the percent error of the hospital bill estimate is 13.64%.
The arc length of AB is 8 m (app.)
Explanation:
Given that the radius of the circle is 8 m.
The central angle is 60°
We need to determine the arc length of AB
The arc length of AB can be determined using the formula,
Substituting central angle = 60° and circumference = 2πr in the above formula, we get,
Simplifying the terms, we get,
Dividing, we get,
Hence, the arc length is approximately equal to 8.
Therefore, the arc length of AB is 8 m
Answer:
i doing the same problem like this, i was too lazy to do it but since there is no answer on the internet, here you are :
High category : 58%
Medium category : 61.0%
Step-by-step explanation:
Explain : like i said, i have a same question :D
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
