Answer:
10(q-3)
last option
please brainliest me btw
Step-by-step explanation:
The expression states 10q-30
The GCF is 10 (30 GCF by 10 Is 10)
Factor out 10
After, divide all the terms by 10
10 (10q/10) - 30/10
Simplify this and we get
10(q-3)
so in conclusion, it is the last option.
<span>B) (1, 5) is your best answer
B (0,6) creates the top of the kite
D (0,2) creates the bottom
A (-1,5) creates the left side of the kite
D (1,5) creates the right side (only the x is flipped, because has congruent sides of both the top, and both the bottom.
hope this helps</span>
Answer:
Step-by-step explanation:
The angles <JKL, <EKL, and <JKE form a full angle which means their sum is equal to 360:
134 + 21x + 6 + 5x = 360 add like terms
140 + 26x = 360 subtract 140 from both sides
26x = 220 divide both sides by 26
x = 8.4 approximately
to find the angle m<JKL replace x with the value we found.
Answer:
a. 95.4
b. UCL = 96.07
LCL = 94.73
c. Process is in control
Step-by-step explanation:
a. The computation of estimate mean is shown below:-
![Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}](https://tex.z-dn.net/?f=Estimate%5C%20mean%20%3D%20%5Cfrac%7B%5CSigma%20X%7D%7BN%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac%7B1908.000%7D%7B20%7D)
= 95.4
b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-
![UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }](https://tex.z-dn.net/?f=UCL%20%3D%20Mean%20%2B%20%5Cfrac%7B3%5Ctimes%20%5Csigma%20%7D%7B%5Csqrt%7BSample%5C%20size%7D%20%7D)
![UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }](https://tex.z-dn.net/?f=UCL%20%3D%2095.4%20%2B%20%5Cfrac%7B3%5Ctimes%20%280.5%29%7D%7B%5Csqrt%7B0.5%7D%20%7D)
= 95.4 + 0.67082
= 96.07
![UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }](https://tex.z-dn.net/?f=UCL%20%3D%20Mean%20-%20%5Cfrac%7B3%5Ctimes%20%5Csigma%20%7D%7B%5Csqrt%7BSample%5C%20size%7D%20%7D)
![UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }](https://tex.z-dn.net/?f=UCL%20%3D%2095.4%20-%20%5Cfrac%7B3%5Ctimes%20%280.5%29%7D%7B%5Csqrt%7B0.5%7D%20%7D)
= 95.4 - 0.67082
= 94.73
c. The explanation is shown below:-
From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,
The Process is in control