Ballance method is just a fance method of helping you remember to DO THE SAME THING TO BOTH SIDES OF AN EQUATION to keep it ballanced
-10=2(-3x+1)
divide BOTH SIDES by 2 to get rid of that 2 in front
-5=-3x+1
minus BOTH SIDES 1
-6=-3x
divide BOTH SIDES by -3
2=x
-x-7=-12
add7 BOTH SIDES
-x+7-7=-12+7
-x+0=-5
-x=-5
multiplY BOTH SIDES -1
x=5
No, this is because right angles can also be formed
A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t =
≈ 8.5 in → A
Answer:
13 and 11
Step-by-step explanation:
how is helpful
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361