4(2x +5) = (8x + 20)
8x =20 is an equivalent expression
The factors of 50 are 1, 2, 5, 10, 25 and 50.<span> The factors of a number can be found by determining which numbers evenly divide into a given number.</span>
Answer:
(−0.103371 ; 0.063371) ;
No ;
( -0.0463642, 0.0063642)
Step-by-step explanation:
Shift 1:
Sample size, n1 = 30
Mean, m1 = 10.53 mm ; Standard deviation, s1 = 0.14mm
Shift 2:
Sample size, n2 = 25
Mean, m2 = 10.55 ; Standard deviation, s2 = 0.17
Mean difference ; μ1 - μ2
Zcritical at 95% confidence interval = 1.96
Using the relation :
(m1 - m2) ± Zcritical * (s1²/n1 + s2²/n2)
(10.53-10.55) ± 1.96*sqrt(0.14^2/30 + 0.17^2/25)
Lower boundary :
-0.02 - 0.0833710 = −0.103371
Upper boundary :
-0.02 + 0.0833710 = 0.063371
(−0.103371 ; 0.063371)
B.)
We cannot conclude that gasket from shift 2 are on average wider Than gasket from shift 1, since the interval contains 0.
C.)
For sample size :
n1 = 300 ; n2 = 250
(10.53-10.55) ± 1.96*sqrt(0.14^2/300 + 0.17^2/250)
Lower boundary :
-0.02 - 0.0263642 = −0.0463642
Upper boundary :
-0.02 + 0.0263642 = 0.0063642
( -0.0463642, 0.0063642)
Answer:
x^2 -7x-18
Step-by-step explanation:
(x-9)(x+2)
FOIL
first x*x = x^2
outer 2x
inner -9x
last -9*2 =-18
Add together
x^2 +2x-9x-18
Combine like terms
x^2 -7x-18
Answer:
<h2>3x + 6y = 0</h2>
Step-by-step explanation:
Equation of a line = y = mx + c
where m = slope
m = (1 - 4) / (-2 - (-8))
<h3>m = -3 / 6</h3>
y - 1 = -3/6 (x + 2)
6y - 6 = -3x - 6
3x + 6y = 0
