4/5x-8=3
move -8 to the other side and add
4/5x=3+8
4/5x=11
move 5x to the other side and multiply
4=5x*11
4=55x
4/55=x
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.
Answer:
1. x² – 11x + 24
2. a² + 5a + 6
Step-by-step explanation:
1. (x – 3)(x – 8) =?
Use the entities in the first bracket to multiply the second bracket. This is illustrated below:
(x – 3)(x – 8)
x (x – 8) – 3(x – 8)
x² – 8x – 3x + 24
x² – 11x + 24
Thus, the product of (x – 3)(x – 8) is
x² – 11x + 24
2. (a + 3)(a + 2) =?
Use the entities in the first bracket to multiply the second bracket. This is illustrated below:
a(a + 2) + 3(a + 2)
a² + 2a + 3a + 6
a² + 5a + 6
Thus, the product of (a + 3)(a + 2) is:
a² + 5a + 6
Answer:
use math.way.com
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
-11/-1
cancel the 2 negatives and anything over 1 is the original number.