The number of observations is 15
Answer:
0.0273
Step-by-step explanation:
np n
10 100
9 100
11 100
7 100
3 100
12 100
8 100
4 100
6 100
11 100
pbar=sumnp/sumn
pbar=10+9+11+7+3+12+8+4+6+11/10+10+10+10+10+10+10+10+10+10
pbar=81/1000
pbar=0.081
nbar=sumn/k=1000/10=100
![Standard deviation for pbar chart=\sqrt{\frac{pbar(1-pbar)}{nbar} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7Bpbar%281-pbar%29%7D%7Bnbar%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{\frac{0.081(0.919)}{100} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7B0.081%280.919%29%7D%7B100%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{\frac{0.0744}{100} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7B0.0744%7D%7B100%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{0.0007444 }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B0.0007444%20%7D)
Standard deviation for p-chart=0.0273
(- 2, - 3) is a solution to the given system of equations.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation are not presented in proper format. So, let assume the given system of are as below,
2 x - y = -1
2 x -4 y = 8
Now, subtract the second equation from the first, we get
(2 x - y) -(2 x - 4 y) = -1 -8
3 y = -9
y = -3 (obtained this when divide by 3)
Substituting y = - 3 into the first equation, we get
2 x - (-3) = - 1
2 x = - 1 + 3
x = - 2 (obtained when divide by 2)
Now, the answer is (x, y) = (- 2, - 3)
Answer:
y = 16 + 3/11
x = -76/11
Step-by-step explanation:
2y - 5x = -2
3y + 2x = 35
__________
(2y - 5x = -2)*3
(3y + 2x = 35)*2
__________
6y - 15x = -6
6y +4x = 70
__________
(6y - 15x = -6) - (6y +4x = 70)
15x - 4x = -6 -70
__________
11x = -76
x = -76/11
__________
3y +2(-76/11) = 35
3y = 35 + 152/11
3y = 13 + 35 + 9/11
3y = 48 + 9/ 11
y = 16 + 3/11
I will help you if you repost this and please try to not make this blurry because I cant read it