This is completing the square:
(x^2+12x+36)+42-36
Answer: (x+6)^2 +6
Answer:
Y = 0.4925X - 22.26 ;
(-12.413, 13.398) ;
Yes, there is
Step-by-step explanation:
X = IQ Score ; Y = musical aptitude
The regression equation from the table given using the slope and intercept coefficient :
Y = 0.4925X - 22.26
0.4925 = slope ; Intercept = - 22.26
The 95% confidence interval of the slope :
Confidence interval = b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (20 - 2) = 18
Tcritical = 2.1009
b = slope Coefficient = 0.4925
S.E = 6.143
Hence, we have :
Confidence interval = 0.4925 ± (2.1009 * 6.143)
Confidence interval = 0.4925 ± 12.9058287
Lower boundary = 0.4925 - 12.9058287 = - 12.413
Upper boundary = 0.4925 + 12.9058287 = 13.398
(-12.413, 13.398)
There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.
11/12
Because if you do 1-1/12 or 12/12-1/12 it will give you 11/12 you can check by adding 11/12+1/12
9514 1404 393
Answer:
x = 39
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.
x² +80² = 89²
x² = 89² -80² = 7921 -6400 = 1521
x = √1521
x = 39
