Answer:
3x=2y
Step-by-step explanation:
subtract on from each side 4x-1=1-1+2y=3x+2y
Answer: the last second one: 3/4 0.8 94%
Step-by-step explanation:
because 3/4 is smaller than one so it has to go first.
hope it helps :) pls give brainliest
Answer:
Hence, the probability of a Negative test is
.
Step-by-step explanation:
(a)
Let
Drug user and
Test positive
Probability of drug users ![P(D)=36\%=0.36](https://tex.z-dn.net/?f=P%28D%29%3D36%5C%25%3D0.36)
![P(\frac{T}{D})=96\%=0.96](https://tex.z-dn.net/?f=P%28%5Cfrac%7BT%7D%7BD%7D%29%3D96%5C%25%3D0.96)
![P(\frac{T^c}{D^c})=90\%=0.90](https://tex.z-dn.net/?f=P%28%5Cfrac%7BT%5Ec%7D%7BD%5Ec%7D%29%3D90%5C%25%3D0.90)
(b)
Find the Probability of a Negative test,
![P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)](https://tex.z-dn.net/?f=P%28T%5EC%29%3DP%28%5Cfrac%7BT%5EC%7D%7BD%5EC%7D%29%5Ccdot%20P%28D%5EC%29%2BP%28%5Cfrac%7BT%5EC%7D%7BD%7D%29%5Ccdot%20P%28D%29)
![\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36](https://tex.z-dn.net/?f=%5CRightarrow%20P%28T%5EC%29%3D0.9%5Ccdot%281-0.36%29%2B%281-0.96%29%5Ccdot%200.36)
![\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36](https://tex.z-dn.net/?f=%5CRightarrow%20P%28T%5EC%29%3D0.9%5Ccdot%200.64%2B0.04%5Ccdot%200.36)
![\Rightarrow P(T^C)=0.576+0.0144](https://tex.z-dn.net/?f=%5CRightarrow%20P%28T%5EC%29%3D0.576%2B0.0144)
![\Rightarrow P(T^C)=0.5904](https://tex.z-dn.net/?f=%5CRightarrow%20P%28T%5EC%29%3D0.5904)
Answer:
a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4
b.p=0.0026,total defects=2.6
c.Less of the items produced will be classified as defects.
Step-by-step explanation:
a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.
![\mu=10,\sigma=0.15\\Therefore:-\\z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.15}\approx-1.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.15}\approx+1.0\\P(x10.15)=P(Z+1.0)\\=2P(Z](https://tex.z-dn.net/?f=%5Cmu%3D10%2C%5Csigma%3D0.15%5C%5CTherefore%3A-%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B9.85-10%7D%7B0.15%7D%5Capprox-1.0%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B10.15-10%7D%7B0.15%7D%5Capprox%2B1.0%5C%5CP%28x%3C9.85%2Fx%3E10.15%29%3DP%28Z%3C-1.0%2FZ%3E%2B1.0%29%5C%5C%3D2P%28Z%3C-1.0%29%3D2%280.1587%29%3D0.3174%5C%5C)
Total defects=Production*Probability
=0.3174*1000
![=317.4](https://tex.z-dn.net/?f=%3D317.4)
b. ![\mu=10,\sigma=0.05](https://tex.z-dn.net/?f=%5Cmu%3D10%2C%5Csigma%3D0.05)
therefore:-
![z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.05}\approx-3.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.05}\approx+3.0\\\\=P(x10.15)=P(Z+3.0)\\=2P(Z](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B9.85-10%7D%7B0.05%7D%5Capprox-3.0%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B10.15-10%7D%7B0.05%7D%5Capprox%2B3.0%5C%5C%5C%5C%3DP%28x%3C9.85%2Fx%3E10.15%29%3DP%28Z%3C-3.0%2FZ%3E%2B3.0%29%5C%5C%3D2P%28Z%3C--3.0%29%3D2%280.0013%29%5C%5C%3D0.0026%5C%5C)
Defects=Probability*Production
=0.0026*1000
=2.6
c.Reducing process variation results in a significant reduction in the number of unit defects.