Answer:
b =± 5 sqrt(3)
Step-by-step explanation:
f(b) = b^2 – 75
To find the roots set the equation equal to zero
b^2 -75 =0
Add 75 to each side
b^2 – 75+75 = 0+57
b^2 = 75
Take the square root of each side
sqrt(b^2) = ±sqrt(75)
b = ±sqrt(3*25)
We know that sqrt(ac) = sqrt(a) sqrt(c)
b = ±sqrt(3)*sqrt(25)
b =± 5 sqrt(3)
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
Plug in the numbers and solve:
8.5(<u>3</u>) + 7.9(<u>4</u>) = <u>25.5</u> + 31.6
= <u>57.1</u>
18, you have 3 choices for the bottom because you can't use the small one, 3 choices for the next because you can now use the small one, 2 for the next and finally 1. You multiply all of them to get 18
Answer:
It looks like everything is correct :)
Step-by-step explanation:
