Answer:
Step-by-step explanation:
P(D/M₁) = .04 ( probability of defect from a 1 st machine )
P(D/M₂) = .06
P(D/M₃) = .01
P( M₁ )= .3 ( probability of manufacture from 1 st machine )
P(M₂) = .2
P(M₃)= .5
P( M₁/D) ( Probability of manufacture from 1 st machine , given it is defective )
= P( M₁ )xP(D/M₁) / [P( M₁ )xP(D/M₁) +P( M₂ )xP(D/M₂)+P( M₃ )xP(D/M₃)]
= .3 x .06 / .3 x .06 + .2 x .06 + .5 x .01
= .018 / .035
= 18/35
You find the product of 0.8x2 by doing this: (Image)
Thank you for your question!
Your really close!
Just set this up as an algebraic equation:
4x - 10 = 30
4x = 40
x = 10
Hope this helped!
Answer:
x=1.33 repeating or 1 1/3
Step-by-step explanation:
You take 4 and distribute to everything in the parentheses.
You also do the same for the -4.
After you distribute, you should get: 4x+24=-8x+36+3x
Then you combine like terms (the two x's on the right side of the equation.
You should then get: 4x+24=-5x+36
Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.
Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.
Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.
The mean is simply the average of the data set.
Mean = (3+4+6+7+9+9+11)/7 = 7
The median, on the other hand, is the middle data when you arrange them from least to greatest. The middle data here is 7.
Hence, initially, the mean and median are equal. In order to make the mean less than median, add another data point which makes it the lowest. For example, we can add 1 as the new data point. The mean would be:
Mean = (1+3+4+6+7+9+9+11)/8 = 6.25
The median is (6+7)/2 = 6.5
Therefore, you can add any number less than 3. For example, that could be 1.
