Answer: 59.91%.
Step-by-step explanation:
- We know that the fraction of the variability in data values accounted by a model is given by
, where r is the coefficient of correlation.
We are given , that the correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.
Then, the fraction of the variability in fuel economy is accounted for by the engine size would be 
[Multiply 100 to convert a decimal into percent]
Hence, the fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.
None of the options are correct.
Step-by-step explanation:
2.5 hours = 150 min
1/3 of 150 is 50 min, which means she spent 50 min on her history project = 100 min leftover
3/5 of 100 min is 60 min (1 hour) = 40 min leftover
She spent 40 min writing her essay
hope this helps <3
5y-5y^2-5+2+2y+3y^2-1
collect like terms
7y-2y^2-4
reorder the terms
-2y^2+7y-4
-2y^2+7y-4 is your final answer, I hope this helps!
Well when it comes to absolute value remember that whatever number is inside the two straight lines will always come out as a positive.
a) [54] would still be 54
b)-[-7 3/5] so first you get the absolute value which comes out to 7 3/5 but because there is a negative sign out side of the two parallel lines, the answer would be -7 3/5
c)[3]-[-1] the absolute value of 3 is 3 and the absolute value of -1 is 1. So the expression would be 3-1 which comes out to 2
d)[2.2-5.13] 2.2-5.13 would equal -2.93 but since it is in the absolute value, the answer would come out as 2.93
Hope this helps!
Answer:
The x-coordinate of the solution to this system of equations is 3
Step-by-step explanation:
Given the system of equations:
....[1]
....[2]
Add equation [1] and [2] we have;
Simplify:
Divide both sides by 3 we have;
x = 3
Substitute in [1] we have;
3+y = 3
⇒y = 0
Solution for the given system of equation is= (3, 0)
Therefore, the x-coordinate of the solution to this system of equations is 3
